Thick-GEM 06S2026A 22 3

Size: px
Start display at page:

Download "Thick-GEM 06S2026A 22 3"

Transcription

1 Thick-GEM 06S2026A 22 3

2 (MWPC-Multi Wire Proportional Chamber) MPGD(Micro Pattern Gas Detector) MPGD MPGD MPGD MPGD GEM(Gas Electron Multiplier) GEM GEM GEM Thick-GEM GEM Thick-GEM 10 4 Thick-GEM

3 1 Introduction MWPC MPGD GEM MSGC µ-pic MicroMEGAS MPGD GEM(Gas Electron Multiplier) GEM GEM Thick-GEM X Thick-GEM ADC(Analog to Digital Converter) P P Ar-CO i

4 ii Thick-GEM Maxwell SV Garfield step size step size Thick-GEM P P Ar-CO

5 1 Introduction (MWPC-Multi Wire Proportional Chamber) (MPGD-Micro Pattern Gas Detector) MWPC MPGD MPGD 1.1 MWPC MWPC MWPC * MPGD MWPC MWPC (MPGD-Micro Pattern Gas Detector) MPGD MWPC *1 1

6 1 Introduction 2 MPGD MPGD GEM(Gas Electron Muliplier) MSGC(Micro Strip Gas Chamber) µ-pic(micro Pixel Chamber) MicroMEGAS(Micromesh Gaseous Detector) GEM 1.1 GEM GEM GEM GEM GEM GEM 1.1 GEM

7 1 Introduction MSGC 1.2 MSGC MSGC 10µm 100µm MSGC 1.2 MSGC µ-pic 1.3 µ-pic µ-pic MSGC MSGC µ-pic µ-pic 10 4 GEM 1.3 µ-pic

8 1 Introduction MicroMEGAS 1.4 MicroMEGAS MicroMEGAS ( ) MicroMesh( ) MicroMesh MicroMEGAS MicroMesh MicroMEGAS 1.4 MicroMEGAS 1.3 MPGD MPGD ILC(International Linear Collider) TPC(Time Projection Chamber) TPC 2 3 TPC MPGD TPC MPGD MeV γ γ X

9 1 Introduction 5 X 1.4 MPGD GEM GEM 50µm µm GEM(Thick-GEM) 50µm GEM Thick-GEM Thick-GEM 10 4

10 2 GEM(Gas Electron Multiplier) GEM 2.1 GEM GEM MPGD 1996 CERN F.Sauli GEM GEM 50µm 5µm 70µm 140µm GEM 300V GEM µm GEM GEM GEM * Thick-GEM 2.1 CERN GEM 2.2 CERN GEM 2.1 CERN GEM 2.2 CERN GEM *2 GEM 6

11 2 GEM(Gas Electron Multiplier) GEM MPGD GEM (1) 2.3 GEM GEM 2.3 (2) GEM 2.4 GEM 2.4

12 2 GEM(Gas Electron Multiplier) 8 (3) 2.5 GEM CERN GEM 2.7 GEM 2.7 GEM 50µm 70µm 100µm 150µm 30µm 50µm

13 2 GEM(Gas Electron Multiplier) 9 GEM 400µm Thick-GEM 10mm 0.5mm Thick-GEM 0.3mm 0.2mm 0.2mm 0.1mm 2.3 (X γ ) X X X X

14 2 GEM(Gas Electron Multiplier) keV 50keV E E θ 0.51MeV E = 0.51 [MeV ] (2.1) 1 cos θ /E[MeV ] (θ=0) θ = π/2 0.51MeV 0.6 5MeV MeV 2.9

15 2 GEM(Gas Electron Multiplier) hν 0 2mc 2 =1.02MeV 1.02MeV 1.02MeV 5MeV 15MeV ( ) ( ) 10kV/cm

16 2 GEM(Gas Electron Multiplier) 12 (2.2) dn N = αdx (2.2) α (first Townsend coefficient) (2.2) N(x) = N 0 e αx (2.3) N 0 N(x) x ( ) (2.3) x N(x) 2.11 GEM GEM GEM 2.11 GEM

17 2 GEM(Gas Electron Multiplier) GM α β 2.12 α β GM ( )

18 2 GEM(Gas Electron Multiplier) GM 6. GEM

19 3 Thick-GEM Thick-GEM Thick-GEM GEM Drift 3.1 GEM Induction Drift GEM GEM Induction 15

20 第 3 章 Thick-GEM の基礎特性の測定 図 3.2 カソードメッシュ 16 図 3.3 読み出しパッド カソードに図 3.2 のようなメッシュを用いることにより X 線が Drift 領域へ透過でき るようになっている また 読み出しパッドは図 3.3 のように5本のストリップによって できているが 本研究で用いる Thick-GEM のパターンの面積は小さく 一本のストリッ プのみで十分読み出し可能である したがって Thick-GEM のパターン真下のストリッ プ一本 (中央のストリップ) のみから読み出しを行う 図 3.4 チェンバーの全体図 図 3.5 ASD アンプ 図 3.4 は測定に用いたチェンバーである チェンバーは厚さ 5.0 mm のアルミ板で囲ま れており 容積は 21 cm 19 cm 4 cm となっている 強い強度の放射線を入射する 際は チェンバー上部の 10 cm 10 cm の薄いアルミ製の入射窓より放射線を入射する また 今回用いたチェンバーの底は二重になっており アンプを内蔵することによってノ イズを最小限に抑えることができる また 本研究では図 3.5 の ASD アンプを使用した ASD アンプは ATLAS 測定器の 検出器のひとつである TGC に取り付けられるアンプとして採用されている ASD アン プの増幅率は 0.8 V/pC である 信号の立ち上がりは 16 nsec と一定であり 入った電荷 量に比例した波高を出力する

21 3 Thick-GEM Thick-GEM 3.7 Thick-GEM 3.6 Thick-GEM GEM 0.3mm 0.1mm 3.7 Thick-GEM 3.2 P10 (Ar CH ) P5 (Ar CH ) Ar-CO 2 (Ar CO ) P10 P5 Ar-CO 2 50µm GEM P10 78 cc/min P5 94 cc/min Ar-CO 2 49 cc/min

22 3 Thick-GEM X 55 Fe 55 Fe K 55 Mn K X L K α X M K β X X Fe 55 Fe 5.9 kev X Ar K K (3.2keV) 2.7keV K Ar + (1) (2) X X 85:15 (1) Ar K 3.2keV 5.9keV

23 3 Thick-GEM 19 (2) X Ar (1) 3.2keV X X Ar + 2.7keV X X 3.4 GEM Induction GEM 3.5 Thick-GEM 3.11 Thick-GEM Thick-GEM Thick- GEM GEM

24 3 Thick-GEM 20 GEM GEM 3.11 Thick-GEM Thick-GEM Thick-GEM 3.12 Thick-GEM Inverter Discriminator Gate Generator Gate Discriminator Thick-GEM ADC 3.6 Gate Delay 3.12

25 3 Thick-GEM ADC(Analog to Digital Converter) ADC(Analog to Digital Converter) I R V V = IR I = dq dt V (3.1) V = R dq dt (3.2) ADC Gate Gate t V dt = RQ (3.3) Q = 1 R V dt (3.4) ADC Q Thick-GEM Gate 3.13 Gate 3.13 Thick-GEM

26 3 Thick-GEM 22 ADC ADC 3.14 P10 Thick-GEM V GEM =1520 [V] ADC X (mean ) 3.14 ADC ADC mean pedestal pedestal Clock Generator ADC mean pedestal mean

27 3 Thick-GEM (3.5) ( ) ( ) ( G) = ( ) (3.5) Ar W 26eV W 55 Fe X 5.9keV ( ) [ ] 55 Fe [pc] ASD ASD (3.5) G = ADC(mean pedestal ) (1ADC ) e ( ) ( ) (3.6) ASD 400 1ADC 0.25 pc µm Thick-GEM GEM 10 4 Thick-GEM (P10 P5 Ar-CO 2 ) Thick-GEM

28 3 Thick-GEM Drift Induction 0.5kV/cm 4.5kV/cm Thick-GEM Thick-GEM V GEM Thick-GEM ( ) V GEM 10V ADC P10 P5 Ar-CO P10 P10 V GEM =1460 V 1620 V 1630 V V GEM V GEM P10 V GEM 3.15 V GEM =1560 V 10 4

29 3 Thick-GEM P5 P5 V GEM =1350 V 1450 V 1460 V V GEM V GEM P5 V GEM 3.16 V GEM =1320 V 10 4 P5

30 3 Thick-GEM Ar-CO 2 Ar-CO 2 V GEM =1880 V 1930 V 1940 V V GEM V GEM Ar-CO 2 V GEM 3.17 Ar-CO

31 3 Thick-GEM P5 Drift Induction 0.5 kv/cm 4.5 kv/cm V GEM 1400 V 3.18 ( ) (300 ) Thick-GEM

32 4 Thick-GEM 400µm GEM( Thick-GEM) Maxwell SV Garfield 4.1 Maxwell SV GEM Maxwell SV Maxwell Ansoft *3 Maxwell 3D Maxwell SV 4.1 Thick-GEM 0.4mm Thick-GEM 0.3mm 35µm Drift Induction 1.0mm Drift 0.5 kv/cm Induction 4.5 kv/cm 0.1mm *3 ( ) ( ) 28

33 4 Thick-GEM Thick-GEM 4.2 Garfield Garfield CERN ( ) Garfield Heed Magboltz Garfield Maxwell Garfield step

34 4 Thick-GEM step size Garfield step( 4.2) (step size) step size step size 4.2 step 1step 1. 1step step 3. step step step size step size 1step step size

35 4 Thick-GEM 31 step size step Garfield step 1000 Thick- GEM 400µm 1000 step step step size step size P5 ( V GEM ) 1500 V 4.3 step size step step size step

36 4 Thick-GEM step size step step size 3µm step step size 5µm 4.3 Thick-GEM 4.1 Thick-GEM Thick-GEM Thick-GEM 0.1mm mm 0.05mm Thick-GEM cube etching 0.1mm 4.5 Thick-GEM cube 0.1mm 4.6 cube etching 0.07mm 4.6 Thick-GEM cube 0.07mm cube etching 0.1mm 0.03mm

37 4 Thick-GEM cube etching 0.05mm 4.7 Thick-GEM cube 0.05mm cube etching 0.1mm 0.05mm 4.8 slash etching Thick-GEM 0.1mm 4.9 slash etching Thick-GEM 0.1mm 0.07mm 0.07mm

38 4 Thick-GEM Maxwell SV Thick-GEM Thick-GEM µm Thick-GEM V GEM =1600 V 4.10 cube etching 0.1mm 30 kv/cm 10 kv/cm 40 kv/cm

39 4 Thick-GEM cube etching 0.07mm 4.12 cube etching 0.05mm kv/cm cube etching 0.1mm kv/cm cube etching

40 4 Thick-GEM slash etching slash etching kv/cm kv/cm cube etching 0.07mm

41 4 Thick-GEM Garfield (P5 P10 Ar-CO 2 ) cube etching slash etching Thick-GEM ( V GEM ) P P10 cube etching V GEM 4.15 cube etching V GEM 0.07mm cube etching Thick-GEM 0.05mm cube etching Thick-GEM 0.1mm cube etching Thick-GEM

42 4 Thick-GEM P10 slash etching V GEM 4.16 slash etching V GEM slash etching 1 Thick-GEM 10 slash etching 2 Thick-GEM

43 4 Thick-GEM P P5 cube etching V GEM 4.17 P5 0.05mm cube etching Thick-GEM 4.18 P5 slash etching V GEM 4.18 slash etching 1 P5 slash etching 2 1/2

44 4 Thick-GEM Ar-CO Ar-CO 2 cube etching V GEM 4.19 Ar-CO mm cube etching Thick-GEM 4.20 Ar-CO 2 slash etching V GEM 4.20 slash etching 2 Thick-GEM

45 5 5.1 ( ) V GEM 5.1 V GEM P10 V GEM =1630 V P5 V GEM =1460 V Ar-CO 2 V GEM =1940 V P10 P Ar-CO P10 P5 Thick-GEM 50µm GEM Ar-CO 2 Thick-GEM P10 P Thick-GEM Ar-CO

46 5 42 V GEM =1940 V Thick-GEM P10 P5 Thick-GEM P10 P Thick-GEM 300 Thick-GEM 400µm slash etching 1 Thick-GEM P10 Ar-CO 2 slash etching 2 cube etching 0.07mm Thick-GEM slash etching 2 cube etching 0.07mm P5 cube etching 0.05mm 0.1mm 3.7 Thick-GEM Thick-GEM

47 µm Thick-GEM Thick-GEM V GEM P10 P Ar-CO Thick-GEM Maxwell SV Garfield Thick-GEM Thick-GEM 6.2 Thick-GEM Thick-GEM Thick-GEM Thick-GEM 43

48 44 [1] GEM (2008) [2] TGEM (2009) [3] GEM (2006) [4] GEM (2008) [5] GEM (2008) [6] SLHC MicroMEGAS (2008) [7] F.Sauli PRINCEPLES OF OPERATION OF MULTIWIRE PROPORTIONAL AND DRIFT CHAMBERS (1977) [8] Ansoft Maxwell SV Getting Started:A 2D Electrostatic Problem (2002) [9] Garfield - simulation of gaseous detectors [10] Garfield isobe/tips/garfield/ [11] The Gas Detectors Development Group in CERN [12] Express [13] F.Sauli DEVELOPMENTS AND APPLICATIONS OF THE GAS ELEC- TRON MULTIPLIER GEM [14] (2002)

49

1 5 1.1................................ 5 1.2 MPGD.......................................... 6 1.2.1 GEM...................................... 6 1.2.2

1 5 1.1................................ 5 1.2 MPGD.......................................... 6 1.2.1 GEM...................................... 6 1.2.2 19 GEM 2 2008/3/13 1 5 1.1................................ 5 1.2 MPGD.......................................... 6 1.2.1 GEM...................................... 6 1.2.2 MICROMEGAS................................

More information

目次 目次 1章 序論 研究の目的 MPGD MPGD の応用...6 2章 GEM(Gas Electron Multiplier) GEM とは 加工方法 GEM の増幅過程 光子と

目次 目次 1章 序論 研究の目的 MPGD MPGD の応用...6 2章 GEM(Gas Electron Multiplier) GEM とは 加工方法 GEM の増幅過程 光子と 平成 24 年度 卒業論文 Thick-GEMの温度依存性と ガス流量依存性の測定 信州大学 理学部物理科学科 高エネルギー物理学研究室 09S2030A 南山 平成25年3月 仁美 目次 目次 1章 序論...3 1.1 研究の目的...3 1.2 MPGD...4 1.3 MPGD の応用...6 2章 GEM(Gas Electron Multiplier)...7 2.1 GEM とは...7

More information

J-PARC E15 K K-pp Missing mass Invariant mass K - 3 He Formation K - pp cluster neutron Mode to decay charged particles p Λ π - Decay p Decay E15 dete

J-PARC E15 K K-pp Missing mass Invariant mass K - 3 He Formation K - pp cluster neutron Mode to decay charged particles p Λ π - Decay p Decay E15 dete J-PARC E15 (TGEM-TPC) TGEM M1 ( ) J-PARC E15 TPC TGEM TGEM J-PARC E15 K K-pp Missing mass Invariant mass K - 3 He Formation K - pp cluster neutron Mode to decay charged particles p Λ π - Decay p Decay

More information

25 3 4

25 3 4 25 3 4 1 µ e + ν e +ν µ µ + e + +ν e + ν µ e e + TAC START STOP START veto START (2.04 ± 0.18)µs 1/2 STOP (2.09 ± 0.11)µs 1/8 G F /( c) 3 (1.21±0.09) 5 /GeV 2 (1.19±0.05) 5 /GeV 2 Weinberg θ W sin θ W

More information

Ws shojia 2016x mini

Ws shojia 2016x mini 16 -Feb 2017 ILC 飛跡測定器における GEM 型ゲート装置の特性評価 Characteristic evaluation of Gating GEM in ILC track measuring instrument 平成 28 年度修士論文審査会 Master's thesis presentation 岩手大学大学院工学研究科電気電子 情報システム工学専攻 博士前期課程 2 年

More information

大面積Micro Pixel Chamberの開発 9

大面積Micro Pixel Chamberの開発 9 Introduction µ-pic と電場構造 ガス増幅 Simulation 信号波形の再現 まとめと今後 京都大学宇宙線研究室髙田淳史 2 次元ガスイメージング検出器プリント基板技術で製作ピクセル間隔 :4 μm 個々のピクセルでガス増幅大面積 : cm 2 and 3 3 cm 2 大きな増幅率 :max ~15 高い位置分解能 :RMS ~12 μm 均一な応答 :RMS ~5% ( cm

More information

W 1983 W ± Z cm 10 cm 50 MeV TAC - ADC ADC [ (µs)] = [] (2.08 ± 0.36) 10 6 s 3 χ µ + µ 8 = (1.20 ± 0.1) 10 5 (Ge

W 1983 W ± Z cm 10 cm 50 MeV TAC - ADC ADC [ (µs)] = [] (2.08 ± 0.36) 10 6 s 3 χ µ + µ 8 = (1.20 ± 0.1) 10 5 (Ge 22 2 24 W 1983 W ± Z 0 3 10 cm 10 cm 50 MeV TAC - ADC 65000 18 ADC [ (µs)] = 0.0207[] 0.0151 (2.08 ± 0.36) 10 6 s 3 χ 2 2 1 20 µ + µ 8 = (1.20 ± 0.1) 10 5 (GeV) 2 G µ ( hc) 3 1 1 7 1.1.............................

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

Drift Chamber

Drift Chamber Quench Gas Drift Chamber 23 25 1 2 5 2.1 Drift Chamber.............................................. 5 2.2.............................................. 6 2.2.1..............................................

More information

SPECT(Single Photon Emission Computer Tomography ) SPECT FWHM 3 4mm [] MPPC SPECT MPPC LSO 6mm 67.5 photo electron 78% kev γ 4.6 photo electron SPECT

SPECT(Single Photon Emission Computer Tomography ) SPECT FWHM 3 4mm [] MPPC SPECT MPPC LSO 6mm 67.5 photo electron 78% kev γ 4.6 photo electron SPECT 3 SPECT SJ SPECT(Single Photon Emission Computer Tomography ) SPECT FWHM 3 4mm [] MPPC SPECT MPPC LSO 6mm 67.5 photo electron 78% kev γ 4.6 photo electron SPECT 9ch MPPC array 3 3 9 3 3 9.mm(sigma) . SPECT..................................................................3............

More information

Donald Carl J. Choi, β ( )

Donald Carl J. Choi, β ( ) :: α β γ 200612296 20 10 17 1 3 2 α 3 2.1................................... 3 2.2................................... 4 2.3....................................... 6 2.4.......................................

More information

Muon Muon Muon lif

Muon Muon Muon lif 2005 2005 3 23 1 2 2 2 2.1 Muon.......................................... 2 2.2 Muon........................... 2 2.3................................. 3 2.4 Muon life time.........................................

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

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

研修コーナー

研修コーナー l l l l l l l l l l l α α β l µ l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l

More information

GEMを使った 中性子画像検出器の開発

GEMを使った 中性子画像検出器の開発 GEM を用いた検出器の開発 千葉研究室修士 2 年 杉山史憲 発表の流れ 研究目的 GEMを用いた中性子画像検出器の原理 基本特性 ビームテスト 今後の実験 研究目的 1. 中性子検出の必要性 2. 中性子捕獲 3. 現在の中性子検出器 中性子検出の必要性 中性子の特徴 - スピンが 1/2 - 電荷がゼロ X 線で見た構造 中性子で見た構造 構造解析 窒素 炭素 酸素 水素たんぱく質 ( ミオグロビン

More information

23 1 Section ( ) ( ) ( 46 ) , 238( 235,238 U) 232( 232 Th) 40( 40 K, % ) (Rn) (Ra). 7( 7 Be) 14( 14 C) 22( 22 Na) (1 ) (2 ) 1 µ 2 4

23 1 Section ( ) ( ) ( 46 ) , 238( 235,238 U) 232( 232 Th) 40( 40 K, % ) (Rn) (Ra). 7( 7 Be) 14( 14 C) 22( 22 Na) (1 ) (2 ) 1 µ 2 4 23 1 Section 1.1 1 ( ) ( ) ( 46 ) 2 3 235, 238( 235,238 U) 232( 232 Th) 40( 40 K, 0.0118% ) (Rn) (Ra). 7( 7 Be) 14( 14 C) 22( 22 Na) (1 ) (2 ) 1 µ 2 4 2 ( )2 4( 4 He) 12 3 16 12 56( 56 Fe) 4 56( 56 Ni)

More information

1 3 1.1 PET..................................... 3 1.1.1......................................... 3 1.1.2 PET................................. 4 1.2..

1 3 1.1 PET..................................... 3 1.1.1......................................... 3 1.1.2 PET................................. 4 1.2.. 21 PET 06S2037G 2010 3 1 3 1.1 PET..................................... 3 1.1.1......................................... 3 1.1.2 PET................................. 4 1.2........................................

More information

Operation_test_of_SOFIST

Operation_test_of_SOFIST ILC :SOFIST 2 29 1 18 SOI ILC SOI SOFIST SOFISTver.1 SOFISTver.1 SOFIST SOFISTver.1 S/N BPW 1 1 4 1.1............... 4 1.1.1... 4 1.1.2... 5 1.2 ILC... 6 1.2.1 ILC... 6 1.2.2 ILD...........................

More information

thesis.dvi

thesis.dvi 3 17 03SA210A 2005 3 1 introduction 1 1.1 Positronium............ 1 1.2 Positronium....................... 4 1.2.1 moderation....................... 5 1.2.2..................... 6 1.2.3...................

More information

W Z Large Hadron Collider LHC ATLAS LHC ATLAS Higgs 1

W Z Large Hadron Collider LHC ATLAS LHC ATLAS Higgs 1 LHC Higgs B054347 1 10 W Z Large Hadron Collider LHC ATLAS LHC ATLAS Higgs 1 1 4 6.1................... 6.................... 7.3.................. 8.4.......................... 9 3 10 3.1..............................

More information

CdTe γ 02cb059e :

CdTe γ 02cb059e : CdTe γ 02cb059e : 2006 5 2 i 1 1 1.1............................................ 1 1.2............................................. 2 1.3............................................. 2 2 3 2.1....................................

More information

[ ] [ ] [ ] [ ] [ ] [ ] ADC

[ ] [ ] [ ] [ ] [ ] [ ] ADC [ ] [ ] [ ] [ ] [ ] [ ] ADC BS1 m1 PMT m2 BS2 PMT1 PMT ADC PMT2 α PMT α α = n ω n n Pn TMath::Poisson(x,[0]) 0.35 0.3 0.25 0.2 0.15 λ 1.5 ω n 2 = ( α 2 ) n n! e α 2 α 2 = λ = λn n! e λ Poisson Pn 0.1

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

29 1 29 1 K O TO (J-PARC E14 ) BHCV K O TO J-PARC K L π ν ν BHCV BHCV K L π ν ν BHCV 99.5% BHCV CF 4 MWPC BHCV 99.8% BHCV 2 1 K O TO 4 1.1........................................ 4 1.2 K L π ν ν................................

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

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

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 6 x x 6.1 t P P = P t P = I P P P 1 0 1 0,, 0 1 0 1 cos θ sin θ cos θ sin θ, sin θ cos θ sin θ cos θ x θ x θ P x P x, P ) = t P x)p ) = t x t P P ) = t x = x, ) 6.1) x = Figure 6.1 Px = x, P=, θ = θ P

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

soturon.dvi

soturon.dvi Stopped Muon 94S2003J 11 3 10 1 2 2 3 2.1 Muon : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 3 2.2 : : : : : : : : 4 2.3 : : : : : : : : : : : : : 6 3 7 3.1 : : : : : : : : : : : : : : : :

More information

() n C + n C + n C + + n C n n (3) n C + n C + n C 4 + n C + n C 3 + n C 5 + (5) (6 ) n C + nc + 3 nc n nc n (7 ) n C + nc + 3 nc n nc n (

() n C + n C + n C + + n C n n (3) n C + n C + n C 4 + n C + n C 3 + n C 5 + (5) (6 ) n C + nc + 3 nc n nc n (7 ) n C + nc + 3 nc n nc n ( 3 n nc k+ k + 3 () n C r n C n r nc r C r + C r ( r n ) () n C + n C + n C + + n C n n (3) n C + n C + n C 4 + n C + n C 3 + n C 5 + (4) n C n n C + n C + n C + + n C n (5) k k n C k n C k (6) n C + nc

More information

#A A A F, F d F P + F P = d P F, F y P F F x A.1 ( α, 0), (α, 0) α > 0) (x, y) (x + α) 2 + y 2, (x α) 2 + y 2 d (x + α)2 + y 2 + (x α) 2 + y 2 =

#A A A F, F d F P + F P = d P F, F y P F F x A.1 ( α, 0), (α, 0) α > 0) (x, y) (x + α) 2 + y 2, (x α) 2 + y 2 d (x + α)2 + y 2 + (x α) 2 + y 2 = #A A A. F, F d F P + F P = d P F, F P F F A. α, 0, α, 0 α > 0, + α +, α + d + α + + α + = d d F, F 0 < α < d + α + = d α + + α + = d d α + + α + d α + = d 4 4d α + = d 4 8d + 6 http://mth.cs.kitmi-it.c.jp/

More information

Gauss Gauss ɛ 0 E ds = Q (1) xy σ (x, y, z) (2) a ρ(x, y, z) = x 2 + y 2 (r, θ, φ) (1) xy A Gauss ɛ 0 E ds = ɛ 0 EA Q = ρa ɛ 0 EA = ρea E = (ρ/ɛ 0 )e

Gauss Gauss ɛ 0 E ds = Q (1) xy σ (x, y, z) (2) a ρ(x, y, z) = x 2 + y 2 (r, θ, φ) (1) xy A Gauss ɛ 0 E ds = ɛ 0 EA Q = ρa ɛ 0 EA = ρea E = (ρ/ɛ 0 )e 7 -a 7 -a February 4, 2007 1. 2. 3. 4. 1. 2. 3. 1 Gauss Gauss ɛ 0 E ds = Q (1) xy σ (x, y, z) (2) a ρ(x, y, z) = x 2 + y 2 (r, θ, φ) (1) xy A Gauss ɛ 0 E ds = ɛ 0 EA Q = ρa ɛ 0 EA = ρea E = (ρ/ɛ 0 )e z

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

LLG-R8.Nisus.pdf

LLG-R8.Nisus.pdf d M d t = γ M H + α M d M d t M γ [ 1/ ( Oe sec) ] α γ γ = gµ B h g g µ B h / π γ g = γ = 1.76 10 [ 7 1/ ( Oe sec) ] α α = λ γ λ λ λ α γ α α H α = γ H ω ω H α α H K K H K / M 1 1 > 0 α 1 M > 0 γ α γ =

More information

B 1 B.1.......................... 1 B.1.1................. 1 B.1.2................. 2 B.2........................... 5 B.2.1.......................... 5 B.2.2.................. 6 B.2.3..................

More information

PDF

PDF 1 1 1 1-1 1 1-9 1-3 1-1 13-17 -3 6-4 6 3 3-1 35 3-37 3-3 38 4 4-1 39 4- Fe C TEM 41 4-3 C TEM 44 4-4 Fe TEM 46 4-5 5 4-6 5 5 51 6 5 1 1-1 1991 1,1 multiwall nanotube 1993 singlewall nanotube ( 1,) sp 7.4eV

More information

第1章 微分方程式と近似解法

第1章 微分方程式と近似解法 April 12, 2018 1 / 52 1.1 ( ) 2 / 52 1.2 1.1 1.1: 3 / 52 1.3 Poisson Poisson Poisson 1 d {2, 3} 4 / 52 1 1.3.1 1 u,b b(t,x) u(t,x) x=0 1.1: 1 a x=l 1.1 1 (0, t T ) (0, l) 1 a b : (0, t T ) (0, l) R, u

More information

1 3 1.1.......................... 3 1............................... 3 1.3....................... 5 1.4.......................... 6 1.5........................ 7 8.1......................... 8..............................

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

気体を用いた荷電粒子検出器

気体を用いた荷電粒子検出器 2009/12/7 物理学コロキウム第 2 気体を用いた荷電粒子検出器 内容 : 1. 研究の目的 2. 気体を用いた荷電粒子検出器 3. 霧箱での α 線の観察 4. 今後の予定 5. まとめ 柴田 陣内研究室 寄林侑正 2009/12/7 1 1. 研究の目的 気体の電離作用を利用した荷電粒子検出器の原理を学ぶ 実際に霧箱とスパークチェンバーを作成する 放射線を観察し 荷電粒子と気体粒子の相互作用について学ぶ

More information

- γ 1929 γ - SI γ 137 Cs 662 kev γ NaI active target NaI γ NaI 2 NaI γ NaI(Tl) γ 2 NaI γ γ γ

- γ 1929 γ - SI γ 137 Cs 662 kev γ NaI active target NaI γ NaI 2 NaI γ NaI(Tl) γ 2 NaI γ γ γ - 28 2 15 - γ 1929 γ - SI γ 137 Cs 662 kev γ NaI active target NaI γ NaI 2 NaI γ NaI(Tl) γ 2 NaI γ γ 10 3 4 γ 1 3 2 γ 5 2.1..................................... 5 2.1.1.................... 5 2.1.2..............................

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

第86回日本感染症学会総会学術集会後抄録(I)

第86回日本感染症学会総会学術集会後抄録(I) κ κ κ κ κ κ μ μ β β β γ α α β β γ α β α α α γ α β β γ μ β β μ μ α ββ β β β β β β β β β β β β β β β β β β γ β μ μ μ μμ μ μ μ μ β β μ μ μ μ μ μ μ μ μ μ μ μ μ μ β

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

t θ, τ, α, β S(, 0 P sin(θ P θ S x cos(θ SP = θ P (cos(θ, sin(θ sin(θ P t tan(θ θ 0 cos(θ tan(θ = sin(θ cos(θ ( 0t tan(θ

t θ, τ, α, β S(, 0 P sin(θ P θ S x cos(θ SP = θ P (cos(θ, sin(θ sin(θ P t tan(θ θ 0 cos(θ tan(θ = sin(θ cos(θ ( 0t tan(θ 4 5 ( 5 3 9 4 0 5 ( 4 6 7 7 ( 0 8 3 9 ( 8 t θ, τ, α, β S(, 0 P sin(θ P θ S x cos(θ SP = θ P (cos(θ, sin(θ sin(θ P t tan(θ θ 0 cos(θ tan(θ = sin(θ cos(θ ( 0t tan(θ S θ > 0 θ < 0 ( P S(, 0 θ > 0 ( 60 θ

More information

熊本県数学問題正解

熊本県数学問題正解 00 y O x Typed by L A TEX ε ( ) (00 ) 5 4 4 ( ) http://www.ocn.ne.jp/ oboetene/plan/. ( ) (009 ) ( ).. http://www.ocn.ne.jp/ oboetene/plan/eng.html 8 i i..................................... ( )0... (

More information

O1-1 O1-2 O1-3 O1-4 O1-5 O1-6

O1-1 O1-2 O1-3 O1-4 O1-5 O1-6 O1-1 O1-2 O1-3 O1-4 O1-5 O1-6 O1-7 O1-8 O1-9 O1-10 O1-11 O1-12 O1-13 O1-14 O1-15 O1-16 O1-17 O1-18 O1-19 O1-20 O1-21 O1-22 O1-23 O1-24 O1-25 O1-26 O1-27 O1-28 O1-29 O1-30 O1-31 O1-32 O1-33 O1-34 O1-35

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

1 911 9001030 9:00 A B C D E F G H I J K L M 1A0900 1B0900 1C0900 1D0900 1E0900 1F0900 1G0900 1H0900 1I0900 1J0900 1K0900 1L0900 1M0900 9:15 1A0915 1B0915 1C0915 1D0915 1E0915 1F0915 1G0915 1H0915 1I0915

More information

) ] [ h m x + y + + V x) φ = Eφ 1) z E = i h t 13) x << 1) N n n= = N N + 1) 14) N n n= = N N + 1)N + 1) 6 15) N n 3 n= = 1 4 N N + 1) 16) N n 4

) ] [ h m x + y + + V x) φ = Eφ 1) z E = i h t 13) x << 1) N n n= = N N + 1) 14) N n n= = N N + 1)N + 1) 6 15) N n 3 n= = 1 4 N N + 1) 16) N n 4 1. k λ ν ω T v p v g k = π λ ω = πν = π T v p = λν = ω k v g = dω dk 1) ) 3) 4). p = hk = h λ 5) E = hν = hω 6) h = h π 7) h =6.6618 1 34 J sec) hc=197.3 MeV fm = 197.3 kev pm= 197.3 ev nm = 1.97 1 3 ev

More information

ma22-9 u ( v w) = u v w sin θê = v w sin θ u cos φ = = 2.3 ( a b) ( c d) = ( a c)( b d) ( a d)( b c) ( a b) ( c d) = (a 2 b 3 a 3 b 2 )(c 2 d 3 c 3 d

ma22-9 u ( v w) = u v w sin θê = v w sin θ u cos φ = = 2.3 ( a b) ( c d) = ( a c)( b d) ( a d)( b c) ( a b) ( c d) = (a 2 b 3 a 3 b 2 )(c 2 d 3 c 3 d A 2. x F (t) =f sin ωt x(0) = ẋ(0) = 0 ω θ sin θ θ 3! θ3 v = f mω cos ωt x = f mω (t sin ωt) ω t 0 = f ( cos ωt) mω x ma2-2 t ω x f (t mω ω (ωt ) 6 (ωt)3 = f 6m ωt3 2.2 u ( v w) = v ( w u) = w ( u v) ma22-9

More information

( )

( ) 18 10 01 ( ) 1 2018 4 1.1 2018............................... 4 1.2 2018......................... 5 2 2017 7 2.1 2017............................... 7 2.2 2017......................... 8 3 2016 9 3.1 2016...............................

More information

. ev=,604k m 3 Debye ɛ 0 kt e λ D = n e n e Ze 4 ln Λ ν ei = 5.6π / ɛ 0 m/ e kt e /3 ν ei v e H + +e H ev Saha x x = 3/ πme kt g i g e n

. ev=,604k m 3 Debye ɛ 0 kt e λ D = n e n e Ze 4 ln Λ ν ei = 5.6π / ɛ 0 m/ e kt e /3 ν ei v e H + +e H ev Saha x x = 3/ πme kt g i g e n 003...............................3 Debye................. 3.4................ 3 3 3 3. Larmor Cyclotron... 3 3................ 4 3.3.......... 4 3.3............ 4 3.3...... 4 3.3.3............ 5 3.4.........

More information

FPWS2018講義千代

FPWS2018講義千代 千代勝実(山形大学) 素粒子物理学入門@FPWS2018 3つの究極の 宗教や神話 哲学や科学が行き着く人間にとって究極の問い 宇宙 世界 はどのように始まり どのように終わるのか 全てをつかさどる究極原理は何か 今日はこれを考えます 人類はどういう存在なのか Wikipediaより 4 /72 千代勝実(山形大学) 素粒子物理学入門@FPWS2018 電子レンジ 可視光では中が透け

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

The Physics of Atmospheres CAPTER :

The Physics of Atmospheres CAPTER : The Physics of Atmospheres CAPTER 4 1 4 2 41 : 2 42 14 43 17 44 25 45 27 46 3 47 31 48 32 49 34 41 35 411 36 maintex 23/11/28 The Physics of Atmospheres CAPTER 4 2 4 41 : 2 1 σ 2 (21) (22) k I = I exp(

More information

( ) ,

( ) , II 2007 4 0. 0 1 0 2 ( ) 0 3 1 2 3 4, - 5 6 7 1 1 1 1 1) 2) 3) 4) ( ) () H 2.79 10 10 He 2.72 10 9 C 1.01 10 7 N 3.13 10 6 O 2.38 10 7 Ne 3.44 10 6 Mg 1.076 10 6 Si 1 10 6 S 5.15 10 5 Ar 1.01 10 5 Fe 9.00

More information

From Evans Application Notes

From Evans Application Notes 3 From Evans Application Notes http://www.eaglabs.com From Evans Application Notes http://www.eaglabs.com XPS AES ISS SSIMS ATR-IR 1-10keV µ 1 V() r = kx 2 = 2π µν x mm 1 2 µ= m + m 1 2 1 k ν = OSC 2

More information

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

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 63 3 Section 3.1 g 3.1 3.1: : 64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () 3 9.8 m/s 2 3.2 3.2: : a) b) 5 15 4 1 1. 1 3 14. 1 3 kg/m 3 2 3.3 1 3 5.8 1 3 kg/m 3 3 2.65 1 3 kg/m 3 4 6 m 3.1. 65 5

More information

(iii) 0 V, x V, x + 0 = x. 0. (iv) x V, y V, x + y = 0., y x, y = x. (v) 1x = x. (vii) (α + β)x = αx + βx. (viii) (αβ)x = α(βx)., V, C.,,., (1)

(iii) 0 V, x V, x + 0 = x. 0. (iv) x V, y V, x + y = 0., y x, y = x. (v) 1x = x. (vii) (α + β)x = αx + βx. (viii) (αβ)x = α(βx)., V, C.,,., (1) 1. 1.1...,. 1.1.1 V, V x, y, x y x + y x + y V,, V x α, αx αx V,, (i) (viii) : x, y, z V, α, β C, (i) x + y = y + x. (ii) (x + y) + z = x + (y + z). 1 (iii) 0 V, x V, x + 0 = x. 0. (iv) x V, y V, x + y

More information

1 1 (proton, p) (neutron, n) (uud), (udd) u ( ) d ( ) u d ( ) 1: 2: /2 1 0 ( ) ( 2) 0 (γ) 0 (g) ( fm) W Z 0 0 β( )

1 1 (proton, p) (neutron, n) (uud), (udd) u ( ) d ( ) u d ( ) 1: 2: /2 1 0 ( ) ( 2) 0 (γ) 0 (g) ( fm) W Z 0 0 β( ) ( ) TA 2234 oda@phys.kyushu-u.ac.jp TA (M1) 2161 sumi@epp.phys.kyushu-u.ac.jp TA (M1) 2161 takada@epp.phys.kyushu-u.ac.jp TA (M1) 2254 tanaka@epp.phys.kyushu-u.ac.jp µ ( ) 1 2 1.1...............................................

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

85 4

85 4 85 4 86 Copright c 005 Kumanekosha 4.1 ( ) ( t ) t, t 4.1.1 t Step! (Step 1) (, 0) (Step ) ±V t (, t) I Check! P P V t π 54 t = 0 + V (, t) π θ : = θ : π ) θ = π ± sin ± cos t = 0 (, 0) = sin π V + t +V

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

( ) 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

1 1.1 ( ). z = a + bi, a, b R 0 a, b 0 a 2 + b 2 0 z = a + bi = ( ) a 2 + b 2 a a 2 + b + b 2 a 2 + b i 2 r = a 2 + b 2 θ cos θ = a a 2 + b 2, sin θ =

1 1.1 ( ). z = a + bi, a, b R 0 a, b 0 a 2 + b 2 0 z = a + bi = ( ) a 2 + b 2 a a 2 + b + b 2 a 2 + b i 2 r = a 2 + b 2 θ cos θ = a a 2 + b 2, sin θ = 1 1.1 ( ). z = + bi,, b R 0, b 0 2 + b 2 0 z = + bi = ( ) 2 + b 2 2 + b + b 2 2 + b i 2 r = 2 + b 2 θ cos θ = 2 + b 2, sin θ = b 2 + b 2 2π z = r(cos θ + i sin θ) 1.2 (, ). 1. < 2. > 3. ±,, 1.3 ( ). A

More information

PET. PET, PET., PET 1, TPC 3.,. TPC,,.

PET. PET, PET., PET 1, TPC 3.,. TPC,,. PET TPC 21 2 9 PET. PET, PET., PET 1, TPC 3.,. TPC,,. 1 6 2 PET 7 2.1........................... 7 2.1.1 PET..................... 7 2.1.2.......................... 10 2.2..............................

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

I-2 (100 ) (1) y(x) y dy dx y d2 y dx 2 (a) y + 2y 3y = 9e 2x (b) x 2 y 6y = 5x 4 (2) Bernoulli B n (n = 0, 1, 2,...) x e x 1 = n=0 B 0 B 1 B 2 (3) co

I-2 (100 ) (1) y(x) y dy dx y d2 y dx 2 (a) y + 2y 3y = 9e 2x (b) x 2 y 6y = 5x 4 (2) Bernoulli B n (n = 0, 1, 2,...) x e x 1 = n=0 B 0 B 1 B 2 (3) co 16 I ( ) (1) I-1 I-2 I-3 (2) I-1 ( ) (100 ) 2l x x = 0 y t y(x, t) y(±l, t) = 0 m T g y(x, t) l y(x, t) c = 2 y(x, t) c 2 2 y(x, t) = g (A) t 2 x 2 T/m (1) y 0 (x) y 0 (x) = g c 2 (l2 x 2 ) (B) (2) (1)

More information

<4D F736F F D B B83578B6594BB2D834A836F815B82D082C88C602E646F63>

<4D F736F F D B B83578B6594BB2D834A836F815B82D082C88C602E646F63> スピントロニクスの基礎 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/077461 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 1 2 ii 3 5 4 AMR (anisotropic magnetoresistance effect) GMR (giant magnetoresistance

More information

Note.tex 2008/09/19( )

Note.tex 2008/09/19( ) 1 20 9 19 2 1 5 1.1........................ 5 1.2............................. 8 2 9 2.1............................. 9 2.2.............................. 10 3 13 3.1.............................. 13 3.2..................................

More information

3/4/8:9 { } { } β β β α β α β β

3/4/8:9 { } { } β β β α β α β β α β : α β β α β α, [ ] [ ] V, [ ] α α β [ ] β 3/4/8:9 3/4/8:9 { } { } β β β α β α β β [] β [] β β β β α ( ( ( ( ( ( [ ] [ ] [ β ] [ α β β ] [ α ( β β ] [ α] [ ( β β ] [] α [ β β ] ( / α α [ β β ] [ ] 3

More information

II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2

II No.01 [n/2] [1]H n (x) H n (x) = ( 1) r n! r!(n 2r)! (2x)n 2r. r=0 [2]H n (x) n,, H n ( x) = ( 1) n H n (x). [3] H n (x) = ( 1) n dn x2 e dx n e x2 II No.1 [n/] [1]H n x) H n x) = 1) r n! r!n r)! x)n r r= []H n x) n,, H n x) = 1) n H n x) [3] H n x) = 1) n dn x e dx n e x [4] H n+1 x) = xh n x) nh n 1 x) ) d dx x H n x) = H n+1 x) d dx H nx) = nh

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

素粒子物理学2 素粒子物理学序論B 2010年度講義第2回

素粒子物理学2 素粒子物理学序論B 2010年度講義第2回 素粒子物理学2 素粒子物理学序論B 2010年度講義第2回 =1.055 10 34 J sec =6.582 10 22 MeV sec c = 197.33 10 15 MeV m = c = c =1 1 m p = c(mev m) 938M ev = 197 10 15 (m) 938 =0.2 10 13 (cm) 1 m p = (MeV sec) 938M ev = 6.58

More information

10 117 5 1 121841 4 15 12 7 27 12 6 31856 8 21 1983-2 - 321899 12 21656 2 45 9 2 131816 4 91812 11 20 1887 461971 11 3 2 161703 11 13 98 3 16201700-3 - 2 35 6 7 8 9 12 13 12 481973 12 2 571982 161703 11

More information

0.45m1.00m 1.00m 1.00m 0.33m 0.33m 0.33m 0.45m 1.00m 2

0.45m1.00m 1.00m 1.00m 0.33m 0.33m 0.33m 0.45m 1.00m 2 24 11 10 24 12 10 30 1 0.45m1.00m 1.00m 1.00m 0.33m 0.33m 0.33m 0.45m 1.00m 2 23% 29% 71% 67% 6% 4% n=1525 n=1137 6% +6% -4% -2% 21% 30% 5% 35% 6% 6% 11% 40% 37% 36 172 166 371 213 226 177 54 382 704 216

More information

http://radphys4.c.u-tokyo.ac.jp/~torii/lecture/radiolect-kn.html 21 KOMCEE K303 2013 / 10 / 18 / 21 KOMCEE K303 Billet de 500 Francs Français en circulation: 1993 1999 α β γ X VIDEO http://eneco.jaero.or.jp/20110322/

More information

2.1: n = N/V ( ) k F = ( 3π 2 N ) 1/3 = ( 3π 2 n ) 1/3 V (2.5) [ ] a = h2 2m k2 F h2 2ma (1 27 ) (1 8 ) erg, (2.6) /k B 1 11 / K

2.1: n = N/V ( ) k F = ( 3π 2 N ) 1/3 = ( 3π 2 n ) 1/3 V (2.5) [ ] a = h2 2m k2 F h2 2ma (1 27 ) (1 8 ) erg, (2.6) /k B 1 11 / K 2 2.1? [ ] L 1 ε(p) = 1 ( p 2 2m x + p 2 y + pz) 2 = h2 ( k 2 2m x + ky 2 + kz) 2 n x, n y, n z (2.1) (2.2) p = hk = h 2π L (n x, n y, n z ) (2.3) n k p 1 i (ε i ε i+1 )1 1 g = 2S + 1 2 1/2 g = 2 ( p F

More information