summary Particle Data Group document http pdg lbl

運動学 この講義では、非相対論的運動学について解説する 相対論的運動学の summary は、Particle Data Group の document http: //pdg. lbl. gov/2007/reviews/kinamarpp. pdf に詳しい また「Memo relating to relativistic kinematics」に有 用と思われる公式などを記述してある

Proton Transfer in Momentum Space 12 Be(d, n) 2 @ 50 A Me. V Ex=0 1 13 B*(10 Me. V) 0 p Ex=40 d 12 Be Ex=0 1 13 B*(10 Me. V) 0 0 1 a t -1 -2 0 qz (fm-1) 13 B* p Ex=40 12 Be n -1 -2 12 Be(a, t) @ 50 A Me. V q^ (fm-1) 2 d 13 B* a 1

弾性散乱の平面波ボルン近似 (PWBA) c. f. Memo for Woods-Saxon form factor

b a Binding energies of a and B x rb rxb r a rx. A A B Same value but different expressions Fourier Transforms of wave functions of nucleon (x) in a and B

Proton Transfer in Momentum Space 12 Be(d, n) 2 @ 50 A Me. V Ex=0 1 13 B*(10 Me. V) 0 p Ex=40 d 12 Be Ex=0 1 13 B*(10 Me. V) 0 0 1 a t -1 -2 0 qz (fm-1) 13 B* p Ex=40 12 Be n -1 -2 12 Be(a, t) @ 50 A Me. V q^ (fm-1) 2 d 13 B* a 1

Transition Density と弾性散乱・非弾性散乱 　－Folding Model － 弾性散乱は: U(r) : Optical Potential Alpha particle at 140 -400 Me. V: U ~ 130 – 60 Me. V, W ~ 25 – 40 Me. V Proton at 50 -200 Me. V : U ~ 50 – a few Me. V, W ~ 10 – 20 Me. V (see JLM)

Transition Density と弾性散乱・非弾性散乱 　－Folding Model － 非弾性散乱では: Microscopic or Collective Transition Density Transition Potential Transition Density Collective model Compression mode Tassie model

Potential Depth for Nucleon based on Density Dependence c. f. JLM, PRC 10, 1391 (1974)

Inelastic excitation (Analysis) WF’s of gnd. and exc. states (f 0(r), f(r)) Microscopic Transition Matrix Element Macroscopic BM; Tassie a, b, d transition density (rtr(r)) Folding with effective interaction veff Macroscopic Distorting pot. (V 0(r)) O. M. analysis Elastic Scat. Data Global Systematics BM b, d d Transition pot. (Vtr(r)) DWBA Experimental Data Integrated C. S. , Ang. Distr. Ang. Cor. Jp , d=b. R , … sum rule Gnd. State density (r 0(r))

Direct reactions l Heavy Nuclei: Strong EM Field l Coulomb Excitation, Coulomb Dissociation l E 1, E 2, (M 1) / Isovector l (Lifetime measurement ) l H, D, 4 He [Liquid targets – large luminosity] l Inelastic Scattering l Isovector (H) / Isoscaler(H, D, 4 He) [T=1, 0] l Spin-Flip (H, D) / Spin-Non-Flip (H, D, 4 He) [S=1, 0] l Charge Exchange l Fermi type (H) / Gamow-Teller type (H, D) IAS/GTS l Nucleon Transfer (a, t), (a, 3 He) l Single particle Excited states l Knockout Other (Be, C, …) [strong absorption] l Knockout / Fragmentation l Spectroscopic factors in Ground state Reactions at lower energies l(d, p) reaction l. Transfer/DIC/Fusion : high spin states Isoscaler Monopole Isoscaler Dipole

Transition Strengths : to be studied Selectivity Determine Quantum numbers and C. S. (lifetime) ØConfiguration / Collectivities ØSingle particle / Correlation energies

Observables – reaction/decay meas. l Yields (Cross Sections) / Lifetime / Width l Properties of populated states ( Selectivity) l Angular Distribution / Momentum Transfer l Assignment of L Jp Reliable Reaction Models l Eikonal Model [Knockout] l Virtual Photon / DWBA / Coupled Channels [Coulex, Inelastic, Transfer] l Optical Potential / Transition Density l Folding Model with Density Dependent Effective Interaction