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

Similar documents
main.dvi

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

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 ±

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

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

TeV b,c,τ KEK/ ) ICEPP

(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

1 12 CP 12.1 SU(2) U(1) U(1) W ±,Z [ ] [ ] [ ] u c t d s b [ ] [ ] [ ] ν e ν µ ν τ e µ τ (12.1a) (12.1b) u d u d +W u s +W s u (udd) (Λ = uds)

untitled

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

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

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

スライド タイトルなし

( ) 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

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.

(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

粒子と反粒子

.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

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

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

untitled

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

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

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

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

64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () m/s : : a) b) kg/m kg/m k

talk.title-…„…C…—†[#1

日本内科学会雑誌第102巻第4号

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

Ł\”ƒ-2005

第90回日本感染症学会学術講演会抄録(I)

4 Mindlin -Reissner 4 δ T T T εσdω= δ ubdω+ δ utd Γ Ω Ω Γ T εσ (1.1) ε σ u b t 3 σ ε. u T T T = = = { σx σ y σ z τxy τ yz τzx} { εx εy εz γ xy γ yz γ

W Z Large Hadron Collider LHC ATLAS LHC ATLAS Higgs 1

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.

all.dvi

A = A x x + A y y + A, B = B x x + B y y + B, C = C x x + C y y + C..6 x y A B C = A x x + A y y + A B x B y B C x C y C { B = A x x + A y y + A y B B

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

all.dvi

TOP URL 1

TOP URL 1

Operation_test_of_SOFIST

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

本文/目次(裏白)

( ) e + e ( ) ( ) e + e () ( ) e e Τ ( ) e e ( ) ( ) () () ( ) ( ) ( ) ( )



( )

QMII_10.dvi



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

( ) ,

QMI_10.dvi

vol5-honma (LSR: Local Standard of Rest) 2.1 LSR R 0 LSR Θ 0 (Galactic Constant) 1985 (IAU: International Astronomical Union) R 0 =8.5

m(ẍ + γẋ + ω 0 x) = ee (2.118) e iωt P(ω) = χ(ω)e = ex = e2 E(ω) m ω0 2 ω2 iωγ (2.119) Z N ϵ(ω) ϵ 0 = 1 + Ne2 m j f j ω 2 j ω2 iωγ j (2.120)

arxiv: v1(astro-ph.co)

総研大恒星進化概要.dvi

05Mar2001_tune.dvi

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

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

Mott散乱によるParity対称性の破れを検証


超対称模型におけるレプトンフレーバーの破れ

Muon g-2 vs LHC (and ILC) in Supersymmetric Models

LLG-R8.Nisus.pdf

18 2 F 12 r 2 r 1 (3) Coulomb km Coulomb M = kg F G = ( ) ( ) ( ) 2 = [N]. Coulomb

v v = v 1 v 2 v 3 (1) R = (R ij ) (2) R (R 1 ) ij = R ji (3) 3 R ij R ik = δ jk (4) i=1 δ ij Kronecker δ ij = { 1 (i = j) 0 (i

ω 0 m(ẍ + γẋ + ω0x) 2 = ee (2.118) e iωt x = e 1 m ω0 2 E(ω). (2.119) ω2 iωγ Z N P(ω) = χ(ω)e = exzn (2.120) ϵ = ϵ 0 (1 + χ) ϵ(ω) ϵ 0 = 1 +


余剰次元のモデルとLHC


I A A441 : April 15, 2013 Version : 1.1 I Kawahira, Tomoki TA (Shigehiro, Yoshida )

1 2 2 (Dielecrics) Maxwell ( ) D H

TOP URL 1

6 2 2 x y x y t P P = P t P = I P P P ( ) ( ) ,, ( ) ( ) cos θ sin θ cos θ sin θ, sin θ cos θ sin θ cos θ y x θ x θ P

Chadwick [ 1 ] 1919,, electron number Q kinetic energy [MeV] 8.1: 8.1, 1 internal conversion electron E γ E e =

untitled

(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0

基礎数学I

nenmatsu5c19_web.key

0406_total.pdf

1. 4cm 16 cm 4cm 20cm 18 cm L λ(x)=ax [kg/m] A x 4cm A 4cm 12 cm h h Y 0 a G 0.38h a b x r(x) x y = 1 h 0.38h G b h X x r(x) 1 S(x) = πr(x) 2 a,b, h,π

抄録/抄録1    (1)V

Hanbury-Brown Twiss (ver. 2.0) van Cittert - Zernike mutual coherence

日本内科学会雑誌第98巻第4号

日本内科学会雑誌第97巻第7号

Note.tex 2008/09/19( )

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

支持力計算法.PDF

tnbp59-21_Web:P2/ky132379509610002944

1 I 1.1 ± e = = - = C C MKSA [m], [Kg] [s] [A] 1C 1A 1 MKSA 1C 1C +q q +q q 1

1. 1 A : l l : (1) l m (m 3) (2) m (3) n (n 3) (4) A α, β γ α β + γ = 2 m l lm n nα nα = lm. α = lm n. m lm 2β 2β = lm β = lm 2. γ l 2. 3

ヒッグスの発見 2012年ヒッグス粒子 だと思われる 新粒子が LHC 実験によって 発見されました LHC 加速器の周の長さ 27km! 山手線は 35km 陽子と陽子を反対方向に加速してぶつけて新粒子を探す 陽子 陽子 衝突際のエネルギーはそれぞれの陽子を 1.5V の乾電池を約 2,500,0

加速器の基本概念 V : 高周波加速の基礎

y = x x R = 0. 9, R = σ $ = y x w = x y x x w = x y α ε = + β + x x x y α ε = + β + γ x + x x x x' = / x y' = y/ x y' =

untitled

66 σ σ (8.1) σ = 0 0 σd = 0 (8.2) (8.2) (8.1) E ρ d = 0... d = 0 (8.3) d 1 NN K K 8.1 d σd σd M = σd = E 2 d (8.4) ρ 2 d = I M = EI ρ 1 ρ = M EI ρ EI

A

鉄筋単体の座屈モデル(HP用).doc

Transcription:

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 e color charge red blue green qqq baryon q q meson hadron 1 2.2.2 e ν e µ ν µ τ ν τ e 2.2.3 2 3 2.3 e e + PET 1 2 3 2

2: 2.4 E = mc 2 p E E = (pc) 2 + (mc 2 ) 2 β = v/c γ = 1/ 1 β 2 p = γmv (1) E = γmc 2 (2) γ γm K v x K E γ βγ 0 0 E p x p y = βγ γ 0 0 p x 0 0 1 0 p y (3) 0 0 0 1 p z β = v/c γ = 1/ 1 β 2 ( ) (1) (2) E = (pc) 2 + (mc 2 ) 2 3 strong interaction weak interaction electromagnetic interaction gravity p z 3

3: 3.1 photon gluon W ± Z 0 W ± Z 0 graviton 3 3.2 20 electroweak inter- 4

60 40 20 0 1 U(1) (1/α 1 ) SU(2) (1/α 2 ) (1/α GUT) SU(3) (1/α 3 ) 10 5 10 10 10 15 10 20 GeV 4 150 Big Bang 4: U(1) SU(2) action Grand Unified Theory=GUT 10 16 GeV Gross Wilczek Politzer 2004 4 10 16 GeV 4 4.1 1916 Einstein Freedman 1920 Hubble 1946 Gamow 1964 2.7K 300 4 asymptotic freedon 5

5: 4.2 1/10,000,000,000 5 5.1 20 1920 electron proton photon 6

Dirac 1930 1940 Anderson (positron 1935 1937 1947 1947 K 6: (1902-1984)[ ] 1907-1981 [ ] 5.2 10 GeV 100 1964 Gell-Mann Zweig 6 flavor Cabbibo 1970 5.3 20 The Standard Model 1974 11 charm J/ψ) quantum chromodynamics QCD SU(2) ) SU(3) 1 gluon 1979 PETRA W ± Z 1982 CERN 5.4 generation 1973 1974 K 7

CP CP 1975 (SLAC 1974 1977 1994 (Tevatron) CERN LEP SLAC Z 0 K CP B KEK SLAC B B 5.5 1998 10 11 16 GeV 7: (KEK Web page KEK ) 6 6.1 2EM 5 E M 2E 4π 1960 1970 J/φ c c ) 5 8

6.2.1 LHC 8: LHC LEP W ± Z 0 6.2 6 6 HERA 2007 CERN LHC(Large Hadron Collider E =7 TeV 14TeV LEP 8 LHC 2008 6.2.2 ILC 20 ILC(=International Linear Collider) ILC 9 ILC LHC TeV 6.3 9

114 GeV 200 GeV 7 LHC LHC ILC 0 +1 0 +1 9: ILC Higgs Higgs 0 +1 10 W ± Z 0 10: KEK Web page 6.4 supersymmetry 8 2 1 2 TeV (= 10 12 ev) 7 GeV=10 9 ev ev/c 2 c c = 1 8 SUSY 10

11: KEK Web page R Dark Matter 10 16 GeV 4 LHC ILC 6.5 extra-dimension 4 6 11

10 6 7 CP 7.1 9 7.1.1 d V ud V us V ub d s = V cd V cs V cb s, (4) b V td V ts V tb b (d, s, b ) (d, s, b) 1 3 e 10 11 b V td d + V ts s + V tb b (d) V td 2 V us = λ 12 λ Wolfenstein 1 λ2 2 λ Aλ 3 (ρ iη) λ 1 λ2 2 Aλ 2 Aλ 3 (1 ρ iη) Aλ 2 1 (5) λ, A, ρ, η λ A 9 10 11 12 λ λ = 0.22 V us = cos θ c θ c Cabbibo angle 12

ρ η ρ η K B 1964 K K 0 CP η CP 7.1.2 B K B CP KEK SLAC B B 10.58 GeV 12 KEK B Belle 2001 B CP B η ρ η 13 13 ρ η ρ 0.2 η 04 12: B Belle B CP (KEK Web page KEK ) 7.2 10 SNO 7.2.1 1962 ν e U e1 U e2 U e3 ν µ = U µ1 U µ2 U µ3 ν τ U τ1 U τ2 U τ3 ν 1 ν 2 ν 3, (6) ν e, ν µ, ν τ ν 1, ν 2, ν 3 θ 12 θ 23 θ 13 δ θ 12 13 θ 23 14 sin 2 θ 12 0.3 sin 2 θ 23 0.5 θ 13 δ θ 13 Double Chooz J-PARC T2K NoνA ν 1, ν 2, ν 3 m 1, m 2, m 3 m 2 21 = m 2 2 m 2 1 = 8.0 +0.6 0.4 10 5 ev 2 m 2 32 = 13 14 13

η 1 γ 0.5 β m m d s m d 2β+γ ε K V ub 0 V cb -0.5 α -1-1 -0.5 0 0.5 1 ρ 13: ρ η B K ρ 0.2, η 0.4 B m 2 3 m 2 2 = (2.5 ± 0.5) 10 3 ev 2 δ CP CP θ 13 CP θ 13 B B θ c + θ 12 π 4 θ c θ 12 7.2.2 14

CP 0.1 ev inverted hierarchy normal hierarchy 1000km 7.2.3 µ eγ µ e µ + N e + N τ µγ τ eγ 7.3 7.3.1 electric dipole moment 15 magnetic dipole moment CP 199 Hg 10 28 e cm Quantum Electric Dynamics (g 2)/2 16 1ppm 15 EDM 16 = (e )/(2mc) g g = 2 g = 2 15

3.4σ 14: g 2 8 8.1 4% dark matter 23% 73% 96% weekly interacting particles 7.3.2 +1 1 5 10 33 150 1.5 10 10 15: 73% 23% 4% 96% KEK Web page 16

8.2 8.2.1 3 1967 Sakharov 3 1. 2. CP 3. 17 CP ( ) ( ) CP ( ) 8.2.2 leptogenesis 17 0.1 0.01 ev 10 12 13 GeV CP B L B L 9 20 20 17

???? 1997 (1),1998 (2),1998,1998,1998 1 1997) 2 1998) 2005 2001 10,1998 2002 2006) 11 KEK KEK F., A.D. 1986 1993 2003 18