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Acc1)古典サイクロトロン
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Otare
October 13, 2019
Science
0
100
Acc1)古典サイクロトロン
サイクロトロン角周波数、ラーマ半径、ベータトロン振動、古典サイクロトロン、弱収束
Otare
October 13, 2019
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Transcript
αΠΫϩτϩϯ֯पΛಋग़ͤΑ <ղ) - ༷࣓ w : ֯ ( ͳ ՙి
ཻࢠ ͷ r : ճసܘ q : a ిՙ m. a ࣭ྔ ͱ ͓͚ ɺ ྗ ͷ ͭΓ߹͍ ΑΓ ɺ mrw ͨ WB 1 ͩ ࿀ ਥ mrutqrwB.int - ͳ͓ ɺ Ft = ΑΓ ɺ f ࣜ ɺ ं < Hz >
࣌ੑ࣓Λࢉग़ͤΑ <ղ) - ༷࣓ w : ֯ ͳ ՙి ཻࢠ
ͷ r : ճసܘ q : a ిՙ m. a ࣭ྔ mo ͍ ͷ ੩ࢭ࣭ྔ ͱ ͓͚ ɺ ྗ ͷ ͭΓ߹͍ ΑΓ ɺ m. ʯ = Ұ ɾ ʹൡ ) FT T ÷ B = δ = Δ = Bor ( π 䧆 䏵 )
ͷ্ঢʹ͏ӡಈΤωϧΪʔͱ੩ࢭΤωϧΪʔͷؔΛઆ໌ͤΑ Eat = E ɻ + EK = md =
Mori = For i. Eot Ek = E ɻ Fj Fp . . LEE ɻ t Ek ͍ ͨ ( ᠮ ͛ p = 1 - ( 㤬 = F䎯 ʮ ᜌஃ ೋ ข ᴯ ( ͍ ΤωϧΪʔ Ͱ ޫ ʹ 䑖 , 1 _ ʹ
Ұ༷࣓தͰՙిཻࢠ͕ड͚ΔྗΛࣔͤ ߁ ߴ ᴓɾ ৴ऱཱུ = Ұ ԯ͔ΒͰܶ
Ұ༷࣓தͰՙిཻࢠ͕ड͚ΔྗΛԁ࠲ඪܥͰࣔͤ 1㪢 䌵 χɺ q ʹ ݟ ʔ ͳ Bo
ͳ Br _ ͨ Bz Ͱ Bo - to Br ) ճస ӡಈ ( ͻ͍ ͨ = 0.ae/ ⇅ (䞈 ) " ʹߟ͑Ε ɺ
Ұ༷࣓தʹ͓͚Δ;ํͷϕʔλτϩϯৼಈͷऩଋ݅Λࢉग़ͤΑ Ұ Ұ ༷࣓ த Ͱ ՙిཻࢠ ʹ ͨΒ͘ྗ
1䪮䌵 χɺ q ( 䥝͍ ͨ 130 ͨ Br - Ͱ Bz Ͱ 13 0 - toBr ) - ճసӡಈΛ ߟ͑Δ ͱ͖ ɺ br ͨ = O.to FO ͱ ͠ ͯ ɺ (ܶ= fـ䎥 ɻ ৽ͨ _ ల։ ʹ ͔ ʹ ల։ ) > Z ํ ʹ ͨΒ͘ ྗ Λ ߟ͑Δ Infierno r BIZ ) = Br 1 0 ) + ॻʮ z t . . . . ~ ཌz ͨ = qu Br is - ~ ௭= 0 ΑΓ
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. . 㰂 Ͳ ث ) ͕ um ͕ ͨ 㰑ጾ) ͷ ͩ 䠒 Bz = υ ᨅ = 0 䑱 Br Ұ෦ͱ = muf ͨࡑ Ͱ ᨅͬ ͨ 㛨 ) = mwtizf.it 䎥 ܊ͷ 䋥 = 0 ॻ Br = ݴ Bz > ӡಈ ํఔࣜ ɺ m mm = 0 Ͱ ) ࣌ؒඍ → ඍ ʹ ७ e ɺ - _ - ৺͕ 2 = 䤂 ೝ ʔ ͩ ͯ ͍ vi.it ᷦ ᓺ Ͱ ثָ > Ͱ ֎ͨ ৼಈ Ͱ ͍ ͨ ऩଋ݅ ɺ δ> 0 ÷ N > 0 ߸ᆕ > o 䏥 > 0 ͍ͨ͡ ) -
Ұ༷࣓தʹ͓͚Δ3ํͷϕʔλτϩϯৼಈͷऩଋ݅Λࢉग़ͤΑ Rํ ʹ ͨΒ͘ ྗ Fr = qw B -
m ͩ ʹ Rtx R·ΘΓ Ͱςʔϥʔ ల։ Bzlr) = BIR) ላ X t.rs Rํ ͷ ӡಈ ํఔࣜ ɺ m ྸ = the B.me ʹ Rtx ( KKR ) ͱ ͢Ε m ७ (Rtx ) = EN BIR) + qw ጪ͘ - m ੰ ᷦ+ m Λ ͜ ͨ ᥪ͍ 䜵ʹ ݈ + །Ұ 䢡 m Ε ͨ ʹḩ͍ͬ mui ɺ थ ࿆يಓ Ͱ dͰ ָ = 0 = ENཌ xtmui.ae H Rtο theB = m Ͱ R = en ḩ ͱ tm ʹ xa R ) 䏵 ɾ R = ७ ণ ͕ ָ x + 䏵 x ೋ 913 _ Ͱ wfxtufx-wfx.tw 2 x = I ( ͚ ) ͱ t. → 0 w = dt ث-.- < ͍ͼ ) > ͱ w ͨ ತ dt 2 - i ɾ ྸ 䣁 అ ͩ ʔ ͍ t. Vr = ftp.T 1 ͼ ͘ 0 M ' < - 1 䕃ॻ͍
ऑऩଋαΠΫϩτϩϯͷ݅ͱΤωϧΪʔݶքʹ͍ͭͯઆ໌ͤΑ <ղ> s ऑ ऩଋ ͷ ݅ ɺ Z
ํͷ Ͱ Ұ ֎ʹ ৼಈ ΑΓ.pk o r a MH Αɺ ͯ ऩଋ ݅ -1 ͘͘ 0 (ͨͩ͠ ɺ ஸ ) Τ ʔ ☆ ͜͜Ͱ ɺ Vz = TI ΑΓ ɺ UI = y ' z ͕ ೖ -1 ʹ 0 0 < W < I f - 1 < 0 (Uztl ) ( OZ - 1 ) < 0 0 < Uz < I ( ʹ Uz > 0 ) ͞Βʹ ɺ Vr fT' ΑΓ ɺ ɺ 1 = f - 1 < ɺ 1 < 0 0 ͘ c 1 0 < Ur c l ͢ͳΘͪ ɺ 1 8 ͱ ࢥ͍ - • Ұํ Ͱ ɺ ࣌ੑ ΑΓ ՙి ཻࢠ ΤωϧΪʔ ͕ ߴ͘ͳΔ ͱ ɺ ૬ࣾޮՌ ʹΑΓ minor = mɻ ʮ -_- mo ɻɻ ͜͜ Ͱ ɺ αΠ701 ͨ֯प ͕ ʹ ΑΒͳ͍ ͜ͱ ͕ ಛͩͬͨ ɺ 1ທ = quB → ?ʹ ڷ . . W = Ұ Ͱ rw m M = m ɻ 8 Ͱ w = const . ʹ ͢Δ ʹ . B = 1 3 ͱ ͢Ε Α͍ ɺ ͜Ε ͕ ࣌ੑ࣓ ͷ O ΑΓ ࡊ > 0 ͱ ͳΓ ɺ f > 0 ͱ ͳΔ ඞཁ͕ ͋Δ ɻ - . - ☆ ' ☆ ͱ ͔ ಉ࣌ ʹ Γཱͨͳ͍ ɻ ☆ Λ ຬͨ͞ͳ͍ ͱ ϏʔϜ ൃࢄ ͠ ͯ ͠·͏ ͷͰ ɺ ݁ہ ɺ ૬ରޮՌ ͕ Ͱ͍ ͳ͍ ΤωϧΪʔ ྖҬ Ͱ ͔͠ Ճ Ͱ͖ ͳ͍ ɻ