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

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1. αΠΫϩτϩϯ֯प೾਺Λಋग़ͤΑ <ղ) - ༷࣓৔ w : ֯଎౓ ( ͳ ՙి ཻࢠ ͷ ଎౓ r : ճస൒ܘ 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 >
2. ౳࣌ੑ࣓৔Λࢉग़ͤΑ <ղ) - ༷࣓৔ w : ֯଎౓ ͳ ՙి ཻࢠ ͷ ଎౓ r : ճస൒ܘ 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 )
3. ଎౓ͷ্ঢʹ൐͏ӡಈΤωϧΪʔͱ੩ࢭΤωϧΪʔͷؔ܎Λઆ໌ͤΑ
   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
4. Ұ༷࣓৔தͰՙిཻࢠ͕ड͚ΔྗΛࣔͤ ߁ ͸ ߴ ᴓɾ ৴ऱཱུ = Ұ ԯ͔ΒͰܶ
5. Ұ༷࣓৔தͰՙిཻࢠ͕ड͚ΔྗΛԁ౵࠲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
6. Ұ༷࣓৔தʹ͓͚Δ;ํ޲ͷϕʔλτϩϯৼಈ਺ͷऩଋ৚݅Λࢉग़ͤΑ 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 ier_w@Brzl.iw. . 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 ͸ ͍ ͨ ऩଋ৚݅ ͸ ɺ δ> 0 ÷ N > 0 ߸ᆕ > o 䏥 > 0 ͍ͨ͡ ) -
7. Ұ༷࣓৔தʹ͓͚Δ3ํ޲ͷϕʔλτϩϯৼಈ਺ͷऩଋ৚݅Λࢉग़ͤΑ 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
8. ऑऩଋαΠΫϩτϩϯͷ৚݅ͱΤωϧΪʔݶքʹ͍ͭͯઆ໌ͤΑ <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 ૬ࣾ࿦ޮՌ ʹΑΓ minor = mɻ ʮ -_- mo ɻɻ ͜͜ Ͱ ɺ αΠ701 ͨ֯प೾਺ ͕ ଎౓ ʹ ΑΒͳ͍ ͜ͱ ͕ ಛ௃ͩͬͨ 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 ૬ର࿦ޮՌ ͕ Ͱ͍ ͳ͍ ΤωϧΪʔ ྖҬ Ͱ ͔͠ Ճ଎ Ͱ͖ ͳ͍ ɻ