nenmatsu5c19_web.key

Size: px
Start display at page:

Download "nenmatsu5c19_web.key"

Transcription

1 KL π ± e νe + e - (Ke3ee)

2 Ke3ee ν e + e - Ke3 K 0 γ e + π - Ke3 KL ; 40.67(%)

3 Ke3ee K 0 ν γ e + π - Ke3 KL ; 40.67(%)

4 Me + e : MC Ke3γ : data K L real γ e detector matter e e Mee Me + e - (GeV/c2 )

5 Ke3ee MC

6 Ke3 ν e + K 0 π - Ke3 KL (0.4067±0.0011) ; 40.67(%)

7 Ke3 K 0 ν e + e + - ν current π - M kl3 = G F 2 < e + ν (J µ ) + 0 >< π (p π ) J µ K 0 (p K ) >

8 Ke3 K 0 ν e + π - e + - ν current K 0 -π - current M kl3 = G F 2 < e + ν (J µ ) + 0 >< π (p π ) J µ K 0 (p K ) >

9 Ke3 ν e + CKM Vus K 0 s π ū - K 0 -π - current Model

10 K-π current Vus form factor K-π current Γ Kl3 = G 2 F M 5 K 192π 3 S EW (1 + δ l K)C 2 V us 2 f 2 +(0)I l K K 0 ν t = Pw 2 π - e + f + (t) = ( f + (0) 1 + λ + t M 2 π λ + t 2 M 4 π )

11 Ke3ee form factor Γ Kl3 = G 2 F M 5 K 192π 3 S EW (1 + δ l K)C 2 V us 2 f 2 +(0)I l K ɛ µ e q 2 ūγµ v Gauge invariance MC K-π current

12 Chiral Perturbation Theory (ChPT) Tune (Ke3ee) ChPT QCD

13 ChPT (Chiral symmetry) Chiral symmetry Gauge symmetry ψ L = e iβ ψ L, } 1 2 (1 γ 5)ψ = ψ L 1 2 (1 + γ 5)ψ = ψ R ψ R = e +iβ ψ R

14 ChPT (Chiral symmetry) Dirac eq. γ µ i µ ψ R mψ L = 0 γ µ i µ ψ L mψ R = 0 mass

15 ChPT (Chiral symmetry) Dirac eq. γ µ i µ ψ R mψ L = 0 γ µ i µ ψ L mψ R = 0 mass m = Chiral symmetry =

16 ChPT (Spontaneously symmetry breaking) Chiral symm. quark Mass Mass less Pseudo scaler meson (Higgs Gauge symm. Mass less pseudo scaler ) <qq>=0 <qq>=0 research/results/2004/040309/ Mass less pseudo scaler meson =Nambu-Goldston Boson (NGB) NGB

17 Chiral for ChPT exp u, d, s flavor symmetry [ i ] 8 λ i θ Li i 1 γ 5 2 u d s, exp [ i ] 8 λ i θ Ri i 1 + γ 5 2 u d s SU(3)L SU(3)R SU(3)V SU(3)A symmetry symmetry

18 NGB -- π, K, η pseudo scaler messon NGB [ m = 0 (Higgs ) u, d, s.] U = exp [ i 8 i ] 1 λ i φ i F π 8 λ i φ i = 2 i L 2 = 1 4 F 2 tr{ µ U µ U + 2B 0 M(U + U )} 1 2 π η 8 π + K + π 1 2 π η 8 K 0 K0 2 6 η 8 K p µ p µ /4πF 1

19 Why Ke3ee? K 0 ν π e + γ(q) - γ : K-π current ( Brems.) Eγ spectrum Brems. ν K energy Vertual γ* e+e- Mee q µ q µ 0

20 Ke3ee - Ke3ee Ke3 - Ke3 Vus - K-π current form factor - Ke3 form factor Ke3ee - ChPT MC (Tune ) - Ke3ee ChPT (QCD) - Massive radiation Ke3γ

21 !"#$%&#'#(')*+%,-..%/)01234*5'2)0 KTeV experiment KL 0.2GeV kick

22 Event selection 1) Four track event with good Vertex quality 2) PID (π ± e e + e - )

23 PID by E/p 10 5 π e Energy on CsI / Momentum of track

24 Particle ID by TRD e π Transition Radiation Depends on relativistic parameter γ radiator x ray detector 8 modules e π e like probele π like TRD parameter

25 Backgrounds KL π + π - π 0 D (π0 e + e - γ) One π ± fakes e ± KL π ± e + ν π 0 D (π0 e + e - γ) Important π-e rejection! KL π ± e + ν γ (γ e + e - : external conversion) KL π + π - π 0 4e (π 0 e + e - e + e - )

26 One more cut to reject KL π + π - π 0 D pp0kine Assuming : KL π + π - π 0 : missing π 0 P 0 P + - We have P// 0 π + e - e + e - Kaon =± pp0kine : MC KL π + π - π 0 D : MC Ke3ee : Data * pp0kine pp0kine (GeV 2 /c 2 )

27 Comparison between Data/MC Pν *2 : Squared longitudinal momentum of neutrino in Kaon rest frame BG sample ID Entries Mean RMS UDFLW OVFLW ALLCHAN E E E E E E E E E E : Data : Ke3ee : KL π + π - π 0 D : π ± e + ν π 0 D : π + π - π 0 4e : Ke3γ Pν *2 (GeV 2 /c 2 ) (Data-BG)/MC data/mc Pv *! 2 /dof = 55.7 / 29 Ppieee * Pv// * Kaon (((()-( *))-( *))-( P *2 n *))-( (GeV 2 /c 2 )*) / A E A Slope=-3.9±2.2 Scale factor =0.2572± (((()-( *))-( *))-( P *2 n *))-( (GeV 2 /c 2 )*) Pν *2 (GeV 2 /c 2 )

28 LO vs. Next to LO(t/Mπ 2,min) 1000 data/mc " 2 /dof = 71.3 / (((()-( *))-( *))-( t/m! *))-(0.4327,min(LO) *) / A E A E E Scale factor =0.3199± Slope=(3.9±0.6)x (((()-( *))-( *))-( t/m! *))-(0.4327,min(LO) *) 1000 LO (p 2 ) NLO (p 4 ) 800 : MC : data-bg data/mc " 2 /dof = 35.4 / (((()-( *))-( *))-( *))-( t/m!,max *) / A E A E E Scale factor =0.2566± Slope=(7.9±6.4)x (((()-( *))-( *))-( *))-( t/m!,max *) t/mπ 2 t/mπ 2 : MC : data-bg

29 Comparison between Data/MC Energy of electron (of pair) Ee - ID Entries Mean RMS UDFLW OVFLW ALLCHAN E E : Data : Ke3ee : KL π + π - π 0 D : π ± e + ν π 0 D : π + π - π 0 4e : Ke3γ (GeV) (Data-BG)/MC data/mc ! 2 /dof = 30.7 / 31 Pν *2 < GeV 2 /c 2 BG sample Slope=(0.8±1.0) 10-3 GeV (((()-( *))-( *))-( Ee - *))-( (GeV) *) / A E A E E Scale factor =0.2571± (((()-( *))-( *))-( Ee - *))-( (GeV) *) Ee - (GeV)

30 Comparison between Data/MC Invariant mass of e + e ID Entries Mean RMS UDFLW OVFLW ALLCHAN E E E E E E E E E E : Data : Ke3ee : KL π + π - π 0 D : π ± e + ν π 0 D : π + π - π 0 4e : Ke3γ Me + e - (GeV/c 2 ) (Data-BG)/MC data/mc ! 2 /dof = 27.0 / 26 Pν *2 < GeV 2 /c 2 BG sample Slope=1.10±0.55 (GeV/c 2 ) (((()-( *))-( *))-( Me + e - *))-( (GeV/c 2 ) *) / A E A Scale factor =0.2573± (((()-( *))-( *))-( Me + e - *))-( (GeV/c 2 ) *) Me + e - (GeV/c 2 )

31 Significance of slopes Slope/δslope E Kaon,max E Kaon,min Z vertex E π E e±(ke3) E e-(pair) Me + e - Me±e + e - Mπ±e e + e -

32 Observed events and estimated BG (Normalization mode KL π + π - π 0 D) without Pν *2 cut Pν *2 <0.005(GeV 2 /c 2 ) Ke3ee(with BG) evts evts KL π + π - π 0 D evts 34.3 evts KL π ± e + ν π 0 D evts evts 88.2 evts KL π ± e + ν γ evts 84.7 evts KL π + π - π 0 4e evts 2.6 evts Ξ Λ π 0 D 1.7 evts 0.3 evts Double Ke evts 29.1 evts N/S 5.0% 1.7% BR[Ke3ee] (1.673±0.052) 10-5 (1.663±0.053) 10-5

33 Statistic 0.84 Systematic Correction and error(%) cut variation 0.82 π ineff. (E/p) δ= π loss in TRD δ=2.91 (2.24,Signal ) (2.58,norm.) error(%) 0.59 e ineff.(e/p) δ= Radiative corr. δ= Systematic Total(internal) 1.02 Systematic (external) 2.84 Systematic Total 3.02

34 Summary Ke3ee ChPT - ChPT Ke3ee event - ChPT NLO - Me + e - Preriminary - BR(Ke3ee)=1.673±0.014(stat)±0.051(sys) 10-5

35 Event Selection Pick up π± e + - e + e -...ke3ee - EKaon < 200 GeV (Both soln.) 95 < Z vertex < 150 m Vertex 2 < < E/p < 1.15 for electron tracks E/p < 0.9 for pion tracks TRD probability < 0.06 for electron tracks for Ke3ee Ee (pair) > 3 GeV Me+e- > GeV/c 2 for pm0d Mπ ± e + e + e - < 0.5 GeV/c < Mpm0 < GeV/c >Me + e - g> GeV/c 2 pp0kine < (GeV/c) 2 pp0kine > (GeV/c) 2 Ee (Ke3) > 10 GeV - π + π - e + e -..pm0d Eπ ± > 10 GeV Eπ ± > 8 GeV (for one π ± )

q quark L left-handed lepton. λ Gell-Mann SU(3), a = 8 σ Pauli, i =, 2, 3 U() T a T i 2 Ỹ = 60 traceless tr Ỹ 2 = 2 notation. 2 off-diagonal matrices

q quark L left-handed lepton. λ Gell-Mann SU(3), a = 8 σ Pauli, i =, 2, 3 U() T a T i 2 Ỹ = 60 traceless tr Ỹ 2 = 2 notation. 2 off-diagonal matrices Grand Unification M.Dine, Supersymmetry And String Theory: Beyond the Standard Model 6 2009 2 24 by Standard Model Coupling constant θ-parameter 8 Charge quantization. hypercharge charge Gauge group. simple

More information

July 28, H H 0 H int = H H 0 H int = H int (x)d 3 x Schrödinger Picture Ψ(t) S =e iht Ψ H O S Heisenberg Picture Ψ H O H (t) =e iht O S e i

July 28, H H 0 H int = H H 0 H int = H int (x)d 3 x Schrödinger Picture Ψ(t) S =e iht Ψ H O S Heisenberg Picture Ψ H O H (t) =e iht O S e i July 8, 4. H H H int H H H int H int (x)d 3 x Schrödinger Picture Ψ(t) S e iht Ψ H O S Heisenberg Picture Ψ H O H (t) e iht O S e iht Interaction Picture Ψ(t) D e iht Ψ(t) S O D (t) e iht O S e ih t (Dirac

More information

[pb/gev] T d / dp Data/Theory 6 5.5 0.5 0 0 00 00 00 500 600 p [GeV] T anti-k jets, R=0.6, y jet L dt=7 nb ( s=7 TeV) Systematic Uncertainties.8 NLO-pQCD (CTEQ 6.6)+ Non pert. corr. 0 00 00 00 500 600

More information

7 π L int = gψ(x)ψ(x)φ(x) + (7.4) [ ] p ψ N = n (7.5) π (π +,π 0,π ) ψ (σ, σ, σ )ψ ( A) σ τ ( L int = gψψφ g N τ ) N π * ) (7.6) π π = (π, π, π ) π ±

7 π L int = gψ(x)ψ(x)φ(x) + (7.4) [ ] p ψ N = n (7.5) π (π +,π 0,π ) ψ (σ, σ, σ )ψ ( A) σ τ ( L int = gψψφ g N τ ) N π * ) (7.6) π π = (π, π, π ) π ± 7 7. ( ) SU() SU() 9 ( MeV) p 98.8 π + π 0 n 99.57 9.57 97.4 497.70 δm m 0.4%.% 0.% 0.8% π 9.57 4.96 Σ + Σ 0 Σ 89.6 9.46 K + K 0 49.67 (7.) p p = αp + βn, n n = γp + δn (7.a) [ ] p ψ ψ = Uψ, U = n [ α

More information

Μ粒子電子転換事象探索実験による世界最高感度での 荷電LFV探索 第3回機構シンポジューム 2009年5月11日 素粒子原子核研究所 三原 智

Μ粒子電子転換事象探索実験による世界最高感度での 荷電LFV探索  第3回機構シンポジューム 2009年5月11日 素粒子原子核研究所 三原 智 µ COMET LFV esys clfv (Charged Lepton Flavor Violation) J-PARC µ COMET ( ) ( ) ( ) ( ) B ( ) B ( ) B ( ) B ( ) B ( ) B ( ) B 2016 J- PARC µ KEK 3 3 3 3 3 3 3 3 3 3 3 clfv clfv clfv clfv clfv clfv clfv

More information

LHC-ATLAS Hà WWà lνlν A A A A A A

LHC-ATLAS Hà WWà lνlν A A A A A A LHC-ATLAS Hà WWà lνlν A A A A A A 2011 1 Introduction 1fb -1 results and physics motivation -- ATLAS combined results with 1 fb -1 ZZà llnunu WWà lnulnu ZZà llll WWà lnuqq ATLAS official ATLAS 200-300

More information

,,..,. 1

,,..,. 1 016 9 3 6 0 016 1 0 1 10 1 1 17 1..,,..,. 1 1 c = h = G = ε 0 = 1. 1.1 L L T V 1.1. T, V. d dt L q i L q i = 0 1.. q i t L q i, q i, t L ϕ, ϕ, x µ x µ 1.3. ϕ x µ, L. S, L, L S = Ld 4 x 1.4 = Ld 3 xdt 1.5

More information

untitled

untitled masato@icrr.u-tokyo.ac.jp 996 Start 997 998 999 000 00 00 003 004 005 006 007 008 SK-I Accident Partial Reconstruction SK-II Full reconstruction ( SK-III ( ),46 (40%) 5,8 (9%),9 (40%) 5MeV 7MeV 4MeV(plan)

More information

LHC ALICE (QGP) QGP QGP QGP QGP ω ϕ J/ψ ALICE s = ev + J/ψ

LHC ALICE (QGP) QGP QGP QGP QGP ω ϕ J/ψ ALICE s = ev + J/ψ 8 + J/ψ ALICE B597 : : : 9 LHC ALICE (QGP) QGP QGP QGP QGP ω ϕ J/ψ ALICE s = ev + J/ψ 6..................................... 6. (QGP)..................... 6.................................... 6.4..............................

More information

cm λ λ = h/p p ( ) λ = cm E pc [ev] 2.2 quark lepton u d c s t b e 1 3e electric charge e color charge red blue green qq

cm λ λ = h/p p ( ) λ = cm E pc [ev] 2.2 quark lepton u d c s t b e 1 3e electric charge e color charge red blue green qq 2007 2007 7 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 1 2007 2 4 5 6 6 2 2.1 1: KEK Web page 1 1 1 10 16 cm λ λ = h/p p ( ) λ = 10 16 cm E pc [ev] 2.2 quark lepton 2 2.2.1 u d c s t b + 2 3 e 1 3e electric charge

More information

TeV b,c,τ KEK/ ) ICEPP

TeV b,c,τ KEK/ ) ICEPP TeV b,c,τ KEK/ ) ICEPP 2 TeV TeV ~1930 ~1970 ~2010 LHC TeV LHC TeV LHC TeV CKM K FCNC K CP violation c b, τ B-B t B CP violation interplay 6 Super B Factory Super KEKB LoI (hep-ex/0406071) SLAC Super B

More information

反D中間子と核子のエキゾチックな 束縛状態と散乱状態の解析

反D中間子と核子のエキゾチックな   束縛状態と散乱状態の解析 .... D 1 in collaboration with 1, 2, 1 RCNP 1, KEK 2 . Exotic hadron qqq q q Θ + Λ(1405) etc. uudd s? KN quasi-bound state? . D(B)-N bound state { { D D0 ( cu) B = D ( cd), B = + ( bu) B 0 ( bd) D(B)-N

More information

24 10 10 1 2 1.1............................ 2 2 3 3 8 3.1............................ 8 3.2............................ 8 3.3.............................. 11 3.4........................ 12 3.5.........................

More information

main.dvi

main.dvi SGC - 48 208X Y Z Z 2006 1930 β Z 2006! 1 2 3 Z 1930 SGC -12, 2001 5 6 http://www.saiensu.co.jp/support.htm http://www.shinshu-u.ac.jp/ haru/ xy.z :-P 3 4 2006 3 ii 1 1 1.1... 1 1.2 1930... 1 1.3 1930...

More information

2005 4 18 3 31 1 1 8 1.1.................................. 8 1.2............................... 8 1.3.......................... 8 1.4.............................. 9 1.5.............................. 9

More information

KamLAND (µ) ν e RSFP + ν e RSFP(Resonant Spin Flavor Precession) ν e RSFP 1. ν e ν µ ν e RSFP.ν e νµ ν e νe µ KamLAND νe KamLAND (ʼ4). kton-day 8.3 < E ν < 14.8 MeV candidates Φ(νe) < 37 cm - s -1 P(νe

More information

km_atami09.ppt

km_atami09.ppt Belle 2009 Feb. 28th Homework discussion (2008 12 6 7 ) Home Works for Theorists So far works are done mainly for interpreting the observed phenomena. But, we need more predictions. prediction qq( ) qqq(

More information

BESS Introduction Detector BESS (BESS-TeVspectrometer) Experimetns Data analysis (1) (2) Results Summary

BESS Introduction Detector BESS (BESS-TeVspectrometer) Experimetns Data analysis (1) (2) Results Summary Measurements of Galactic and Atmospheric Cosmic-Ray Absolute Fluxes BESS Introduction Detector BESS (BESS-TeVspectrometer) Experimetns Data analysis (1) (2) Results Summary Introduction 90% 9% 100~10 6

More information

Introduction SFT Tachyon condensation in SFT SFT ( ) at 1 / 38

Introduction SFT Tachyon condensation in SFT SFT ( ) at 1 / 38 ( ) 2011 5 14 at 1 / 38 Introduction? = String Field Theory = SFT 2 / 38 String Field : ϕ(x, t) x ϕ x / ( ) X ( σ) (string field): Φ[X(σ), t] X(σ) Φ (Φ X(σ) ) X(σ) & / 3 / 38 SFT with Lorentz & Gauge Invariance

More information

Y. Nambu and G. Jona-Lasinio, A Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity I, Phys. Rev. 122, 345 (1961). http://prola.aps.org/pdf/pr/v122/i1/p345_1 Y. Nambu and

More information

0406_total.pdf

0406_total.pdf 59 7 7.1 σ-ω σ-ω σ ω σ = σ(r), ω µ = δ µ,0 ω(r) (6-4) (iγ µ µ m U(r) γ 0 V (r))ψ(x) = 0 (7-1) U(r) = g σ σ(r), V (r) = g ω ω(r) σ(r) ω(r) (6-3) ( 2 + m 2 σ)σ(r) = g σ ψψ (7-2) ( 2 + m 2 ω)ω(r) = g ω ψγ

More information

positron 1930 Dirac 1933 Anderson m 22Na(hl=2.6years), 58Co(hl=71days), 64Cu(hl=12hour) 68Ge(hl=288days) MeV : thermalization m psec 100

positron 1930 Dirac 1933 Anderson m 22Na(hl=2.6years), 58Co(hl=71days), 64Cu(hl=12hour) 68Ge(hl=288days) MeV : thermalization m psec 100 positron 1930 Dirac 1933 Anderson m 22Na(hl=2.6years), 58Co(hl=71days), 64Cu(hl=12hour) 68Ge(hl=288days) 0.5 1.5MeV : thermalization 10 100 m psec 100psec nsec E total = 2mc 2 + E e + + E e Ee+ Ee-c mc

More information

Electron Ion Collider と ILC-N 宮地義之 山形大学

Electron Ion Collider と ILC-N 宮地義之 山形大学 Electron Ion Collider と ILC-N 宮地義之 山形大学 ILC-N ILC-N Ee Ee == 250, 250, 500 500 GeV GeV Fixed Fixed target: target: p, p, d, d, A A 33-34 cm-2 LL ~~ 10 1033-34 cm-2 ss-1-1 s s == 22, 22, 32 32 GeV GeV

More information

Microsoft PowerPoint - okamura.ppt[読み取り専用]

Microsoft PowerPoint - okamura.ppt[読み取り専用] TKK の物理的可能性 an extension of the TK neutrino oscillation experiment with a far detector in Korea 岡村直利 ( 京大 基研 ) 関西セミナーハウス (007/03/7( 007/03/7) based on hep-ph/050406 [Phys.Lett.B637,66 (006)] hep-ph/060755

More information

(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x

(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x Compton Scattering Beaming exp [i k x ωt] k λ k π/λ ω πν k ω/c k x ωt ω k α c, k k x ωt η αβ k α x β diag + ++ x β ct, x O O x O O v k α k α β, γ k γ k βk, k γ k + βk k γ k k, k γ k + βk 3 k k 4 k 3 k

More information

arxiv: v1(astro-ph.co)

arxiv: v1(astro-ph.co) arxiv:1311.0281v1(astro-ph.co) R µν 1 2 Rg µν + Λg µν = 8πG c 4 T µν Λ f(r) R f(r) Galileon φ(t) Massive Gravity etc... Action S = d 4 x g (L GG + L m ) L GG = K(φ,X) G 3 (φ,x)φ + G 4 (φ,x)r + G 4X (φ)

More information

磁性物理学 - 遷移金属化合物磁性のスピンゆらぎ理論

磁性物理学 - 遷移金属化合物磁性のスピンゆらぎ理論 email: takahash@sci.u-hyogo.ac.jp May 14, 2009 Outline 1. 2. 3. 4. 5. 6. 2 / 262 Today s Lecture: Mode-mode Coupling Theory 100 / 262 Part I Effects of Non-linear Mode-Mode Coupling Effects of Non-linear

More information

QCD 1 QCD GeV 2014 QCD 2015 QCD SU(3) QCD A µ g µν QCD 1

QCD 1 QCD GeV 2014 QCD 2015 QCD SU(3) QCD A µ g µν QCD 1 QCD 1 QCD GeV 2014 QCD 2015 QCD SU(3) QCD A µ g µν QCD 1 (vierbein) QCD QCD 1 1: QCD QCD Γ ρ µν A µ R σ µνρ F µν g µν A µ Lagrangian gr TrFµν F µν No. Yes. Yes. No. No! Yes! [1] Nash & Sen [2] Riemann

More information

Kaluza-Klein(KK) SO(11) KK 1 2 1

Kaluza-Klein(KK) SO(11) KK 1 2 1 Maskawa Institute, Kyoto Sangyo University Naoki Yamatsu 2016 4 12 ( ) @ Kaluza-Klein(KK) SO(11) KK 1 2 1 1. 2. 3. 4. 2 1. 標準理論 物質場 ( フェルミオン ) スカラー ゲージ場 クォーク ヒッグス u d s b ν c レプトン ν t ν e μ τ e μ τ e h

More information

PowerPoint Presentation

PowerPoint Presentation KEK I. II. a. BESS b. c. d. III. BESS-Polar IV. Introduction D p GeV (

More information

Mott散乱によるParity対称性の破れを検証

Mott散乱によるParity対称性の破れを検証 Mott Parity P2 Mott target Mott Parity Parity Γ = 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 t P P ),,, ( 3 2 1 0 1 γ γ γ γ γ γ ν ν µ µ = = Γ 1 : : : Γ P P P P x x P ν ν µ µ vector axial vector ν ν µ µ γ γ Γ ν γ

More information

untitled

untitled 2 : n =1, 2,, 10000 0.5125 0.51 0.5075 0.505 0.5025 0.5 0.4975 0.495 0 2000 4000 6000 8000 10000 2 weak law of large numbers 1. X 1,X 2,,X n 2. µ = E(X i ),i=1, 2,,n 3. σi 2 = V (X i ) σ 2,i=1, 2,,n ɛ>0

More information

総研大恒星進化概要.dvi

総研大恒星進化概要.dvi The Structure and Evolution of Stars I. Basic Equations. M r r =4πr2 ρ () P r = GM rρ. r 2 (2) r: M r : P and ρ: G: M r Lagrange r = M r 4πr 2 rho ( ) P = GM r M r 4πr. 4 (2 ) s(ρ, P ) s(ρ, P ) r L r T

More information

Dirac 38 5 Dirac 4 4 γ µ p µ p µ + m 2 = ( p µ γ µ + m)(p ν γ ν + m) (5.1) γ = p µ p ν γ µ γ ν p µ γ µ m + mp ν γ ν + m 2 = 1 2 p µp ν {γ µ, γ ν } + m

Dirac 38 5 Dirac 4 4 γ µ p µ p µ + m 2 = ( p µ γ µ + m)(p ν γ ν + m) (5.1) γ = p µ p ν γ µ γ ν p µ γ µ m + mp ν γ ν + m 2 = 1 2 p µp ν {γ µ, γ ν } + m Dirac 38 5 Dirac 4 4 γ µ p µ p µ + m 2 p µ γ µ + mp ν γ ν + m 5.1 γ p µ p ν γ µ γ ν p µ γ µ m + mp ν γ ν + m 2 1 2 p µp ν {γ µ, γ ν } + m 2 5.2 p m p p µ γ µ {, } 10 γ {γ µ, γ ν } 2η µν 5.3 p µ γ µ + mp

More information

TOP URL 1

TOP URL   1 TOP URL http://amonphys.web.fc2.com/ 1 30 3 30.1.............. 3 30.2........................... 4 30.3...................... 5 30.4........................ 6 30.5.................................. 8 30.6...............................

More information

N cos s s cos ψ e e e e 3 3 e e 3 e 3 e

N cos s s cos ψ e e e e 3 3 e e 3 e 3 e 3 3 5 5 5 3 3 7 5 33 5 33 9 5 8 > e > f U f U u u > u ue u e u ue u ue u e u e u u e u u e u N cos s s cos ψ e e e e 3 3 e e 3 e 3 e 3 > A A > A E A f A A f A [ ] f A A e > > A e[ ] > f A E A < < f ; >

More information

Einstein ( ) YITP

Einstein ( ) YITP Einstein ( ) 2013 8 21 YITP 0. massivegravity Massive spin 2 field theory Fierz-Pauli (FP ) Kinetic term L (2) EH = 1 2 [ λh µν λ h µν λ h λ h 2 µ h µλ ν h νλ + 2 µ h µλ λ h], (1) Mass term FP L mass =

More information

untitled

untitled BELLE TOP 12 1 3 2 BELLE 4 2.1 BELLE........................... 4 2.1.1......................... 4 2.1.2 B B........................ 7 2.1.3 B CP............... 8 2.2 BELLE...................... 9 2.3

More information

TOP URL 1

TOP URL   1 TOP URL http://amonphys.web.fc.com/ 3.............................. 3.............................. 4.3 4................... 5.4........................ 6.5........................ 8.6...........................7

More information

余剰次元のモデルとLHC

余剰次元のモデルとLHC 余剰次元のモデルと LHC 松本重貴 ( 東北大学 ) 1.TeraScale の物理と余剰次元のモデル.LHC における ( 各 ) 余剰次元モデル の典型的なシグナルについて TeraScale の物理と余剰次元のモデル Standard Model ほとんどの実験結果を説明可能な模型 でも問題点もある ( Hierarchy problem, neutrino mass, CKM matrix,

More information

susy.dvi

susy.dvi 1 Chapter 1 Why supper symmetry? 2 Chapter 2 Representaions of the supersymmetry algebra SUSY Q a d 3 xj 0 α J x µjµ = 0 µ SUSY ( {Q A α,q βb } = 2σ µ α β P µδ A B (2.1 {Q A α,q βb } = {Q αa,q βb } = 0

More information

宇宙の背景輻射 現在 150億年 50億年 星や銀河の 形成 自然界には4つの力 3つの分岐点が今回のシリーズの目標 3K LHC温度 1016K (10-12 ~ 10-14s) 10億年 (2) GUTへの挑戦 超対称性による大統一 3000K 30万年 原子 分子の形成 3分 原子核の形成 10-10 秒 弱い相互作用が分離 3つの力が分離する 量子重力の世界 10-34 秒 10-43 秒

More information

Einstein 1905 Lorentz Maxwell c E p E 2 (pc) 2 = m 2 c 4 (7.1) m E ( ) E p µ =(p 0,p 1,p 2,p 3 )=(p 0, p )= c, p (7.2) x µ =(x 0,x 1,x 2,x

Einstein 1905 Lorentz Maxwell c E p E 2 (pc) 2 = m 2 c 4 (7.1) m E ( ) E p µ =(p 0,p 1,p 2,p 3 )=(p 0, p )= c, p (7.2) x µ =(x 0,x 1,x 2,x 7 7.1 7.1.1 Einstein 1905 Lorentz Maxwell c E p E 2 (pc) 2 = m 2 c 4 (7.1) m E ( ) E p µ =(p 0,p 1,p 2,p 3 )=(p 0, p )= c, p (7.2) x µ =(x 0,x 1,x 2,x 3 )=(x 0, x )=(ct, x ) (7.3) E/c ct K = E mc 2 (7.4)

More information

G (n) (x 1, x 2,..., x n ) = 1 Dφe is φ(x 1 )φ(x 2 ) φ(x n ) (5) N N = Dφe is (6) G (n) (generating functional) 1 Z[J] d 4 x 1 d 4 x n G (n) (x 1, x 2

G (n) (x 1, x 2,..., x n ) = 1 Dφe is φ(x 1 )φ(x 2 ) φ(x n ) (5) N N = Dφe is (6) G (n) (generating functional) 1 Z[J] d 4 x 1 d 4 x n G (n) (x 1, x 2 6 Feynman (Green ) Feynman 6.1 Green generating functional Z[J] φ 4 L = 1 2 µφ µ φ m 2 φ2 λ 4! φ4 (1) ( 1 S[φ] = d 4 x 2 φkφ λ ) 4! φ4 (2) K = ( 2 + m 2 ) (3) n G (n) (x 1, x 2,..., x n ) = φ(x 1 )φ(x

More information

医系の統計入門第 2 版 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 第 2 版 1 刷発行時のものです.

医系の統計入門第 2 版 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます.   このサンプルページの内容は, 第 2 版 1 刷発行時のものです. 医系の統計入門第 2 版 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. http://www.morikita.co.jp/books/mid/009192 このサンプルページの内容は, 第 2 版 1 刷発行時のものです. i 2 t 1. 2. 3 2 3. 6 4. 7 5. n 2 ν 6. 2 7. 2003 ii 2 2013 10 iii 1987

More information

1. Introduction Palatini formalism vierbein e a µ spin connection ω ab µ Lgrav = e (R + Λ). 16πG R µνab µ ω νab ν ω µab ω µac ω νcb + ω νac ω µcb, e =

1. Introduction Palatini formalism vierbein e a µ spin connection ω ab µ Lgrav = e (R + Λ). 16πG R µνab µ ω νab ν ω µab ω µac ω νcb + ω νac ω µcb, e = Chiral Fermion in AdS(dS) Gravity Fermions in (Anti) de Sitter Gravity in Four Dimensions, N.I, Takeshi Fukuyama, arxiv:0904.1936. Prog. Theor. Phys. 122 (2009) 339-353. 1. Introduction Palatini formalism

More information

rcnp01may-2

rcnp01may-2 E22 RCP Ring-Cyclotron 97 953 K beam K-atom HF X K, +,K + e,e K + -spectroscopy OK U U I= First-order -exchange - coupling I= U LS U LS Meson-exchange model /5/ I= Symmetric LS Anti-symmetric LS ( σ Λ

More information

201711grade1ouyou.pdf

201711grade1ouyou.pdf 2017 11 26 1 2 52 3 12 13 22 23 32 33 42 3 5 3 4 90 5 6 A 1 2 Web Web 3 4 1 2... 5 6 7 7 44 8 9 1 2 3 1 p p >2 2 A 1 2 0.6 0.4 0.52... (a) 0.6 0.4...... B 1 2 0.8-0.2 0.52..... (b) 0.6 0.52.... 1 A B 2

More information

Bethe-Bloch Bethe-Bloch (stopping range) Bethe-Bloch FNAL (Fermi National Accelerator Laboratory) - (SciBooNE ) SciBooNE Bethe-Bloch FNAL - (SciBooNE

Bethe-Bloch Bethe-Bloch (stopping range) Bethe-Bloch FNAL (Fermi National Accelerator Laboratory) - (SciBooNE ) SciBooNE Bethe-Bloch FNAL - (SciBooNE 21 2 27 Bethe-Bloch Bethe-Bloch (stopping range) Bethe-Bloch FNAL (Fermi National Accelerator Laboratory) - (SciBooNE ) SciBooNE Bethe-Bloch FNAL - (SciBooNE ) Bethe-Bloch 1 0.1..............................

More information

φ 4 Minimal subtraction scheme 2-loop ε 2008 (University of Tokyo) (Atsuo Kuniba) version 21/Apr/ Formulas Γ( n + ɛ) = ( 1)n (1 n! ɛ + ψ(n + 1)

φ 4 Minimal subtraction scheme 2-loop ε 2008 (University of Tokyo) (Atsuo Kuniba) version 21/Apr/ Formulas Γ( n + ɛ) = ( 1)n (1 n! ɛ + ψ(n + 1) φ 4 Minimal subtraction scheme 2-loop ε 28 University of Tokyo Atsuo Kuniba version 2/Apr/28 Formulas Γ n + ɛ = n n! ɛ + ψn + + Oɛ n =,, 2, ψn + = + 2 + + γ, 2 n ψ = γ =.5772... Euler const, log + ax x

More information

* 1 1 (i) (ii) Brückner-Hartree-Fock (iii) (HF, BCS, HFB) (iv) (TDHF,TDHFB) (RPA) (QRPA) (v) (vi) *

* 1 1 (i) (ii) Brückner-Hartree-Fock (iii) (HF, BCS, HFB) (iv) (TDHF,TDHFB) (RPA) (QRPA) (v) (vi) * * 1 1 (i) (ii) Brückner-Hartree-Fock (iii) (HF, BCS, HFB) (iv) (TDHF,TDHFB) (RPA) (QRPA) (v) (vi) *1 2004 1 1 ( ) ( ) 1.1 140 MeV 1.2 ( ) ( ) 1.3 2.6 10 8 s 7.6 10 17 s? Λ 2.5 10 10 s 6 10 24 s 1.4 ( m

More information

1 (Berry,1975) 2-6 p (S πr 2 )p πr 2 p 2πRγ p p = 2γ R (2.5).1-1 : : : : ( ).2 α, β α, β () X S = X X α X β (.1) 1 2

1 (Berry,1975) 2-6 p (S πr 2 )p πr 2 p 2πRγ p p = 2γ R (2.5).1-1 : : : : ( ).2 α, β α, β () X S = X X α X β (.1) 1 2 2005 9/8-11 2 2.2 ( 2-5) γ ( ) γ cos θ 2πr πρhr 2 g h = 2γ cos θ ρgr (2.1) γ = ρgrh (2.2) 2 cos θ θ cos θ = 1 (2.2) γ = 1 ρgrh (2.) 2 2. p p ρgh p ( ) p p = p ρgh (2.) h p p = 2γ r 1 1 (Berry,1975) 2-6

More information

KENZOU Karman) x

KENZOU Karman) x KENZO 8 8 31 8 1 3 4 5 6 Karman) 7 3 8 x 8 1 1.1.............................. 3 1............................................. 5 1.3................................... 5 1.4 /.........................

More information

Big Bang Planck Big Bang 1 43 Planck Planck quantum gravity Planck Grand Unified Theories: GUTs X X W X 1 15 ev 197 Glashow Georgi 1 14 GeV 1 2

Big Bang Planck Big Bang 1 43 Planck Planck quantum gravity Planck Grand Unified Theories: GUTs X X W X 1 15 ev 197 Glashow Georgi 1 14 GeV 1 2 12 Big Bang 12.1 Big Bang Big Bang 12.1 1-5 1 32 K 1 19 GeV 1-4 time after the Big Bang [ s ] 1-3 1-2 1-1 1 1 1 1 2 inflationary epoch gravity strong electromagnetic weak 1 27 K 1 14 GeV 1 15 K 1 2 GeV

More information

1/2 ( ) 1 * 1 2/3 *2 up charm top -1/3 down strange bottom 6 (ν e, ν µ, ν τ ) -1 (e) (µ) (τ) 6 ( 2 ) 6 6 I II III u d ν e e c s ν µ µ t b ν τ τ (2a) (

1/2 ( ) 1 * 1 2/3 *2 up charm top -1/3 down strange bottom 6 (ν e, ν µ, ν τ ) -1 (e) (µ) (τ) 6 ( 2 ) 6 6 I II III u d ν e e c s ν µ µ t b ν τ τ (2a) ( August 26, 2005 1 1 1.1...................................... 1 1.2......................... 4 1.3....................... 5 1.4.............. 7 1.5.................... 8 1.6 GIM..........................

More information

/ Christopher Essex Radiation and the Violation of Bilinearity in the Thermodynamics of Irreversible Processes, Planet.Space Sci.32 (1984) 1035 Radiat

/ Christopher Essex Radiation and the Violation of Bilinearity in the Thermodynamics of Irreversible Processes, Planet.Space Sci.32 (1984) 1035 Radiat / Christopher Essex Radiation and the Violation of Bilinearity in the Thermodynamics of Irreversible Processes, Planet.Space Sci.32 (1984) 1035 Radiation and the Continuing Failure of the Bilinear Formalism,

More information

ohpmain.dvi

ohpmain.dvi fujisawa@ism.ac.jp 1 Contents 1. 2. 3. 4. γ- 2 1. 3 10 5.6, 5.7, 5.4, 5.5, 5.8, 5.5, 5.3, 5.6, 5.4, 5.2. 5.5 5.6 +5.7 +5.4 +5.5 +5.8 +5.5 +5.3 +5.6 +5.4 +5.2 =5.5. 10 outlier 5 5.6, 5.7, 5.4, 5.5, 5.8,

More information

0 ϕ ( ) (x) 0 ϕ (+) (x)ϕ d 3 ( ) (y) 0 pd 3 q (2π) 6 a p a qe ipx e iqy 0 2Ep 2Eq d 3 pd 3 q 0 (2π) 6 [a p, a q]e ipx e iqy 0 2Ep 2Eq d 3 pd 3 q (2π)

0 ϕ ( ) (x) 0 ϕ (+) (x)ϕ d 3 ( ) (y) 0 pd 3 q (2π) 6 a p a qe ipx e iqy 0 2Ep 2Eq d 3 pd 3 q 0 (2π) 6 [a p, a q]e ipx e iqy 0 2Ep 2Eq d 3 pd 3 q (2π) ( ) 2 S 3 ( ) ( ) 0 O 0 O ( ) O ϕ(x) ϕ (x) d 3 p (2π) 3 2Ep (a p e ipx + b pe +ipx ) ϕ (+) (x) + ϕ ( ) (x) d 3 p (2π) 3 2Ep (a pe +ipx + b p e ipx ) ϕ ( ) (x) + ϕ (+) (x) (px p 0 x 0 p x E p t p x, E p

More information

LEPS

LEPS LEPS2 2016 2 17 LEPS2 SPring-8 γ 3 GeV γ 10 Mcps LEPS2 7 120 LEPS Λ(1405) LEPS2 LEPS2 Silicon Strip Detector (SSD) SSD 100 µm 512 ch 6 cm 3 x y 2 SSD 6 3072 ch APV25-s1 APVDAQ VME APV25-s1 SSD 128 ch

More information

tokei01.dvi

tokei01.dvi 2. :,,,. :.... Apr. - Jul., 26FY Dept. of Mechanical Engineering, Saga Univ., JAPAN 4 3. (probability),, 1. : : n, α A, A a/n. :, p, p Apr. - Jul., 26FY Dept. of Mechanical Engineering, Saga Univ., JAPAN

More information

V(x) m e V 0 cos x π x π V(x) = x < π, x > π V 0 (i) x = 0 (V(x) V 0 (1 x 2 /2)) n n d 2 f dξ 2ξ d f 2 dξ + 2n f = 0 H n (ξ) (ii) H

V(x) m e V 0 cos x π x π V(x) = x < π, x > π V 0 (i) x = 0 (V(x) V 0 (1 x 2 /2)) n n d 2 f dξ 2ξ d f 2 dξ + 2n f = 0 H n (ξ) (ii) H 199 1 1 199 1 1. Vx) m e V cos x π x π Vx) = x < π, x > π V i) x = Vx) V 1 x /)) n n d f dξ ξ d f dξ + n f = H n ξ) ii) H n ξ) = 1) n expξ ) dn dξ n exp ξ )) H n ξ)h m ξ) exp ξ )dξ = π n n!δ n,m x = Vx)

More information

(e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ,µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) [ ] [ ] [ ] ν e ν µ ν τ e µ τ, e R,µ R,τ R (2.1a

(e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ,µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) [ ] [ ] [ ] ν e ν µ ν τ e µ τ, e R,µ R,τ R (2.1a 1 2 2.1 (e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ,µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) [ ] [ ] [ ] ν e ν µ ν τ e µ τ, e R,µ R,τ R (2.1a) L ( ) ) * 2) W Z 1/2 ( - ) d u + e + ν e 1 1 0 0

More information

chap10.dvi

chap10.dvi . q {y j } I( ( L y j =Δy j = u j = C l ε j l = C(L ε j, {ε j } i.i.d.(,i q ( l= y O p ( {u j } q {C l } A l C l

More information

1 (Contents) (1) Beginning of the Universe, Dark Energy and Dark Matter Noboru NAKANISHI 2 2. Problem of Heat Exchanger (1) Kenji

1 (Contents) (1) Beginning of the Universe, Dark Energy and Dark Matter Noboru NAKANISHI 2 2. Problem of Heat Exchanger (1) Kenji 8 4 2018 6 2018 6 7 1 (Contents) 1. 2 2. (1) 22 3. 31 1. Beginning of the Universe, Dark Energy and Dark Matter Noboru NAKANISHI 2 2. Problem of Heat Exchanger (1) Kenji SETO 22 3. Editorial Comments Tadashi

More information

¼§À�ÍýÏÀ – Ê×ÎòÅŻҼ§À�¤È¥¹¥Ô¥ó¤æ¤é¤® - No.7, No.8, No.9

¼§À�ÍýÏÀ – Ê×ÎòÅŻҼ§À�¤È¥¹¥Ô¥ó¤æ¤é¤® - No.7, No.8, No.9 No.7, No.8, No.9 email: takahash@sci.u-hyogo.ac.jp Spring semester, 2012 Introduction (Critical Behavior) SCR ( b > 0) Arrott 2 Total Amplitude Conservation (TAC) Global Consistency (GC) TAC 2 / 25 Experimental

More information

Slide 1

Slide 1 LHC-ATLAS 実験におけるタウレプトン対 に崩壊するヒッグス粒子の探索 中村浩二, 塙慶太 A, 田中純一, 増渕達也, 山村大樹東大素セ, 筑波大数理 A 2011 年 9 月 16 日日本物理学会 @ 弘前大 1 ヒッグス探索とタウチャンネル 直接探索では mh

More information

[ ] = L [δ (D ) (x )] = L D [g ] = L D [E ] = L Table : ħh = m = D D, V (x ) = g δ (D ) (x ) E g D E (Table )D = Schrödinger (.3)D = (regularization)

[ ] = L [δ (D ) (x )] = L D [g ] = L D [E ] = L Table : ħh = m = D D, V (x ) = g δ (D ) (x ) E g D E (Table )D = Schrödinger (.3)D = (regularization) . D............................................... : E = κ ............................................ 3.................................................

More information

TOP URL 1

TOP URL   1 TOP URL http://amonphys.web.fc.com/ 1 19 3 19.1................... 3 19.............................. 4 19.3............................... 6 19.4.............................. 8 19.5.............................

More information

.2 ρ dv dt = ρk grad p + 3 η grad (divv) + η 2 v.3 divh = 0, rote + c H t = 0 dive = ρ, H = 0, E = ρ, roth c E t = c ρv E + H c t = 0 H c E t = c ρv T

.2 ρ dv dt = ρk grad p + 3 η grad (divv) + η 2 v.3 divh = 0, rote + c H t = 0 dive = ρ, H = 0, E = ρ, roth c E t = c ρv E + H c t = 0 H c E t = c ρv T NHK 204 2 0 203 2 24 ( ) 7 00 7 50 203 2 25 ( ) 7 00 7 50 203 2 26 ( ) 7 00 7 50 203 2 27 ( ) 7 00 7 50 I. ( ν R n 2 ) m 2 n m, R = e 2 8πε 0 hca B =.09737 0 7 m ( ν = ) λ a B = 4πε 0ħ 2 m e e 2 = 5.2977

More information

05Mar2001_tune.dvi

05Mar2001_tune.dvi 2001 3 5 COD 1 1.1 u d2 u + ku =0 (1) dt2 u = a exp(pt) (2) p = ± k (3) k>0k = ω 2 exp(±iωt) (4) k

More information

all.dvi

all.dvi I 1 Density Matrix 1.1 ( (Observable) Ô :ensemble ensemble average) Ô en =Tr ˆρ en Ô ˆρ en Tr  n, n =, 1,, Tr  = n n  n Tr  I w j j ( j =, 1,, ) ˆρ en j w j j ˆρ en = j w j j j Ô en = j w j j Ô j emsemble

More information

スーパーカミオカンデにおける 高エネルギーニュートリノ研究

スーパーカミオカンデにおける 高エネルギーニュートリノ研究 2009 11 20 Cosmic Ray PD D M P4 ? CR M f M PD MOA M1 ν ν p+p+p+p 4 He +2e - +2ν e MeV e - + p n+ ν e γ e + + e - ν x + ν x p + p, γ + p π + X π µ + ν µ e + ν µ + ν e TeV p + p π + X π µ + ν µ e + ν µ +

More information

Canvas-tr01(title).cv3

Canvas-tr01(title).cv3 Working Group DaiMaJin DaiRittaikaku Multiparticle Jiki-Bunnsekiki Samurai7 Superconducting Analyser for Multi particles from RadioIsotope Beams with 7Tm of bending power (γ,n) softgdr, GDR non resonant

More information

4/15 No.

4/15 No. 4/15 No. 1 4/15 No. 4/15 No. 3 Particle of mass m moving in a potential V(r) V(r) m i ψ t = m ψ(r,t)+v(r)ψ(r,t) ψ(r,t) = ϕ(r)e iωt ψ(r,t) Wave function steady state m ϕ(r)+v(r)ϕ(r) = εϕ(r) Eigenvalue problem

More information

6 2 T γ T B (6.4) (6.1) [( d nm + 3 ] 2 nt B )a 3 + nt B da 3 = 0 (6.9) na 3 = T B V 3/2 = T B V γ 1 = const. or T B a 2 = const. (6.10) H 2 = 8π kc2

6 2 T γ T B (6.4) (6.1) [( d nm + 3 ] 2 nt B )a 3 + nt B da 3 = 0 (6.9) na 3 = T B V 3/2 = T B V γ 1 = const. or T B a 2 = const. (6.10) H 2 = 8π kc2 1 6 6.1 (??) (P = ρ rad /3) ρ rad T 4 d(ρv ) + PdV = 0 (6.1) dρ rad ρ rad + 4 da a = 0 (6.2) dt T + da a = 0 T 1 a (6.3) ( ) n ρ m = n (m + 12 ) m v2 = n (m + 32 ) T, P = nt (6.4) (6.1) d [(nm + 32 ] )a

More information

( ) Note (e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ, µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) 3 * 2) [ ] [ ] [ ] ν e ν µ ν τ e

( ) Note (e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ, µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) 3 * 2) [ ] [ ] [ ] ν e ν µ ν τ e ( ) Note 3 19 12 13 8 8.1 (e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ, µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) 3 * 2) [ ] [ ] [ ] ν e ν µ ν τ e µ τ, e R, µ R, τ R (1a) L ( ) ) * 3) W Z 1/2 ( - )

More information

J-PARC October 14-15, 2005 KEK

J-PARC October 14-15, 2005 KEK J-PARC October 14-15, 2005 KEK 目次 ミューオン 電子転換過程の紹介 MECO実験 PRISM/PRIME実験 @J-PARC まとめ GIM-like mixing! µ! e W e 3 SUSY-GUT Large top Yukawa couplings result in sizable off-diagonal components in a slepton

More information

( ) ( )

( ) ( ) 20 21 2 8 1 2 2 3 21 3 22 3 23 4 24 5 25 5 26 6 27 8 28 ( ) 9 3 10 31 10 32 ( ) 12 4 13 41 0 13 42 14 43 0 15 44 17 5 18 6 18 1 1 2 2 1 2 1 0 2 0 3 0 4 0 2 2 21 t (x(t) y(t)) 2 x(t) y(t) γ(t) (x(t) y(t))

More information

02-量子力学の復習

02-量子力学の復習 4/17 No. 1 4/17 No. 2 4/17 No. 3 Particle of mass m moving in a potential V(r) V(r) m i ψ t = 2 2m 2 ψ(r,t)+v(r)ψ(r,t) ψ(r,t) Wave function ψ(r,t) = ϕ(r)e iωt steady state 2 2m 2 ϕ(r)+v(r)ϕ(r) = εϕ(r)

More information

スライド タイトルなし

スライド タイトルなし 006 8 (g cm -3 ) 1 ~10-8 cm ~10-1 cm 10 14 (n) 10 15 ~10-13 cm (p) (q) RGB uds... (contd.) 0 ~ fm np nn,pp (contd.) 1 GeV 100 GeV 1 TeV RI FAIR GSI RHIC BNL LHC CERN (contd.) T < 9 ~ 10 K (contd.) (k B

More information

nakayama.key

nakayama.key 2017/11/1@Flavor Physics Workshop 2017 Contents CP 1932 10 4 p + p! p + p + p + p P. Blasi, 1311.7346 d d. 10 Gpc 10 0 Cohen, De Rujula, Glashow (1997) d B0 Flux [photons cm -2 s -1 MeV -1 sr -1

More information

2.2 h h l L h L = l cot h (1) (1) L l L l l = L tan h (2) (2) L l 2 l 3 h 2.3 a h a h (a, h)

2.2 h h l L h L = l cot h (1) (1) L l L l l = L tan h (2) (2) L l 2 l 3 h 2.3 a h a h (a, h) 1 16 10 5 1 2 2.1 a a a 1 1 1 2.2 h h l L h L = l cot h (1) (1) L l L l l = L tan h (2) (2) L l 2 l 3 h 2.3 a h a h (a, h) 4 2 3 4 2 5 2.4 x y (x,y) l a x = l cot h cos a, (3) y = l cot h sin a (4) h a

More information

PowerPoint Presentation

PowerPoint Presentation 2010 KEK (Japan) (Japan) (Japan) Cheoun, Myun -ki Soongsil (Korea) Ryu,, Chung-Yoe Soongsil (Korea) 1. S.Reddy, M.Prakash and J.M. Lattimer, P.R.D58 #013009 (1998) Magnetar : ~ 10 15 G ~ 10 17 19 G (?)

More information

nakajima_

nakajima_ SK-Gd (ICRR) 30 2018 12 21 SK-Gd SK!2 !3 ls of SK Solar ν measurement rvation of day-night asymmetry far, B8, 2.5σ indication Hep reported at NEUTRINO2014) nalizing all SK-IV data very of the transition

More information

Microsoft PowerPoint - nakamuraJPS2005av2

Microsoft PowerPoint - nakamuraJPS2005av2 LHC 加速器 ATLAS 実験における τレプトン対に崩壊するヒッグス粒子探索に関するシミュレーション Introduction Motivation Tau identification Requirement for Rejection conclusion 中村浩二 ( 筑波大物理 ), 田中純一, 浅井祥仁, 神前純一, 陣内修, 原和彦 Introduction(1) LHC LHC @

More information

untitled

untitled 71 7 3,000 1 MeV t = 1 MeV = c 1 MeV c 200 MeV fm 1 MeV 3.0 10 8 10 15 fm/s 0.67 10 21 s (1) 1fm t = 1fm c 1fm 3.0 10 8 10 15 fm/s 0.33 10 23 s (2) 10 22 s 7.1 ( ) a + b + B(+X +...) (3) a b B( X,...)

More information

PowerPoint Presentation

PowerPoint Presentation クォーク グルーオンレベルで見た 核子スピンの起源 岩田高広 山形大学理学部 原子核物理研究会 広い意味での核反応研究のこれから 2009/ 02/21 @ 宮崎 核子スピンに何が起こったか? クォークモデル 核子スピン : クォークスピンの合成 クォークスピン寄与は 100% 偏極深部非弾性散乱実験 QCD パートン描像 valence quarks + sea-quarks & gluons クォークスピン

More information

( ) ) ) ) 5) 1 J = σe 2 6) ) 9) 1955 Statistical-Mechanical Theory of Irreversible Processes )

( ) ) ) ) 5) 1 J = σe 2 6) ) 9) 1955 Statistical-Mechanical Theory of Irreversible Processes ) ( 3 7 4 ) 2 2 ) 8 2 954 2) 955 3) 5) J = σe 2 6) 955 7) 9) 955 Statistical-Mechanical Theory of Irreversible Processes 957 ) 3 4 2 A B H (t) = Ae iωt B(t) = B(ω)e iωt B(ω) = [ Φ R (ω) Φ R () ] iω Φ R (t)

More information

B-p タギング法を

B-p タギング法を B-p タギング法を用いた U(5S) 共鳴からの CP 非保存角 f 1 の測定 佐藤優太郎 山本均 and the Belle collaboration 東北大理 2011/09/16 JPS @ 弘前大学 16pSD-5 目次 1 イントロ KEKB / Belle U(5S) 共鳴 B-p タギング法 解析 手順 モード イベント選択 背景事象 フィット関数 結果 まとめ KEKB / Belle

More information

1

1 a BR (pb) "! - 0-0 -3 0 CMS Preliminary 0 s = 7 ev Obs. Limit Exp. Limit ± " ± " " CMS-EXO--04 W' 300 400 500 600 700 800 900 a # L dt =.5 fb M WZ - W' Limit = 784 GeV (GeV) x B(G WW) [pb] 3 0 0 0 0 -

More information

微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 初版 1 刷発行時のものです.

微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます.   このサンプルページの内容は, 初版 1 刷発行時のものです. 微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. ttp://www.morikita.co.jp/books/mid/00571 このサンプルページの内容は, 初版 1 刷発行時のものです. i ii 014 10 iii [note] 1 3 iv 4 5 3 6 4 x 0 sin x x 1 5 6 z = f(x, y) 1 y = f(x)

More information

untitled

untitled SPring-8 RFgun JASRI/SPring-8 6..7 Contents.. 3.. 5. 6. 7. 8. . 3 cavity γ E A = er 3 πε γ vb r B = v E c r c A B A ( ) F = e E + v B A A A A B dp e( v B+ E) = = m d dt dt ( γ v) dv e ( ) dt v B E v E

More information

500 6 LHC ALICE ( 25 ) µsec MeV QGP

500 6 LHC ALICE ( 25 ) µsec MeV QGP 5 6 LHC ALICE shigaki@hiroshima-u.ac.jp chujo.tatsuya.fw@u.tsukuba.ac.jp gunji@cns.s.u-tokyo.ac.jp 3 ( 5 ) 5. µsec MeV QGP 98 RHIC QGP CERN LHC. LHC ALICE LHC p+p RHIC QGP ALICE 3 5 36 3, [, ] ALICE [,

More information

,,.,,.,.,,,.,.,.,..,.,,.,.,,..,, CMB

,,.,,.,.,,,.,.,.,..,.,,.,.,,..,, CMB ,,.,,.,.,,,.,.,.,..,.,,.,.,,..,,. 1 3 2 3 2.1............................................. 3 2.2 CMB............................................... 5 2.3........................................... 7 2.4.............................................

More information