Nuclear Reactions. Shape, interaction, and excitation structures of nuclei scattering expt. cf. Experiment by Rutherford (a scatt.
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1 Nucler Rections Shpe, interction, nd excittion structures of nuclei scttering expt. cf. Experiment by Rutherford ( sctt.) scttered prticles detector solid ngle projectile trget trnsmitted prticles K. Muto (TIT)
2 A(,b)B rection b A B elstic scttering p(d,d)p nd n(d,d)n 3-body interction A gs A gs fundmentl interction between nd A K. Sekiguchi et l., PRC89( 14)064007
3 A(,b)B rection b A B elstic scttering inelstic scttering A gs A gs fundmentl interction between nd A A gs A* excittion spectrum of nucleus A E
4 A(,b)B rection b A B trnsfer rection (below: n exmple of pick-up rection) 16 O 17 O 16 O 208 Pb gs 207 Pb level schem of 207 Pb trnsfer rection (below: n exmple of stripping rection) 17 O 16 O 17 O 208 Pb gs 209 Pb level schem of 209 Pb fusion rection A gs X (+A) interction between nd A structure of nd A
5 (K -,p - ) rection 12 C (p +, K + ) 12 LC rection p - K - K - A gs A L (p +,K + ) rection K + p + p + O. Hshimoto nd H. Tmur, Prog. in Prt. nd Nucl. Phys. 57 ( 06)564 A gs A L excittion spectrum of hypernucleus A L
6 (e,e K + ) rection 12 C(e,e K + ) 12 LB e - e - e - A gs A L K + S.N. Nkmur et l., PRL110( 13) T. Gogmi, Ph.D. Thesis (Tohoku U.) 2014 L. Tng et l., PRC90( 14)034320
7 Cross sections flux = the number of prticles crossing unit re per unit time incident bem event rte (the number of event per unit time per trget nucleus) : proportionl to the incident flux cross section
8 Cross sections event rte (the number of event per unit time per trget nucleus) : proportionl to the incident flux cross section differentil cross sections (ngulr distribution) units: 1 brn = cm 2 = 100 fm 2 (1 mb = 10-3 b = 0.1 fm 2 )
9 Cross sections (experiments) S t trget thickness bem intensity: the number of trget nucleus: detection efficiency
10 Cross sections (theory) A(,b)B rection b A B center of mss frme b q cm A trnsition B
11 Cross sections lbortory frme b A B q lb center of mss frme b trnsformtion A energy nd momentum conservtions B q cm
12 Born pproximtion V(r) q trnsition rte for elstic scttering: perturbtion
13 Born pproximtion V(r) q momentum trnsfer incident flux: q
14 Electron scttering e - e - Form fctor * reltivistic correction:
15 cf. electron scttering off unstble nuclei (SCRIT) T. Sud et l., PTEP 2012, 03C008 (2012) PRL102, (2009)
16 Distorted Wve Born pproximtion (DWBA) perturbtion distorted wves perturbtion DV(r) q inelstic scttering trnsfer rections
17 Opticl model Rection processes Elstic sctt. Inelstic sctt. Trnsfer rection Compound nucleus formtion (fusion) Opticl potentil Loss of incident flux (bsorption) (note) Guss s lw r
18 Woods-Sxon + volume &surfce imginry prts H. Skguchi et l., PRC26 (1982) 944
19 Appendix: DWBA in ocen coustics Fishfinder (bckwrd) scttering of (ultr-)sonic wves due to fish etc. one cn know the number of fish N T if one knows the differentil cross sections
20 J. Accoust. Soc. Am. 125 ( 09) 73 Modeling of squid DWBA: locl wve number inside squid!
21 W.-J. Lee, A.C. Lvery, T. Stnton, J. Accoust. Soc. Am. 131 ( 12) 4461
22 Krill ( オキアミ ) mesurement DWBA K. Akmtsu nd M. Furusw, ICES J. of Mrine Science 63 ( 06) 36
23 Absorption cross sections Rection processes Elstic sctt. Inelstic sctt. Trnsfer rection Compound nucleus formtion (fusion) Loss of incident flux (bsorption) rection cross sections totl scttering cross section - elstic cross section fusion inelstic trnsfer
24 Interction cross sections nd hlo nuclei 11 Li something else interction cross section s I = cross section for the chnge of Z /o N in the incident nucleus trget nuclei trnsmission method N in N out d
25 Interction cross sections nd hlo nuclei 11 Li something else interction cross section s I = cross section for the chnge of Z /o N in the incident nucleus trget nuclei Projectile Trget Slide: A. Ozw R I (P)
26 Discovery of hlo nuclei I. Tniht, T. Kobyshi, O. Hshimoto et l., PRL55( 85)2676; PLB206( 88)592
27 Rection cross sections b Gluber theory (opticl limit pproximtion:ola) stright-line trjectory (high energy scttering) dibtic pproximtion simplified tretment for multiple scttering:
28 Density distribution which explins the experimentl s R M. Fukud et l., PLB268( 91)339
Nuclear Reactions. Shape, interaction, and excitation structures of nuclei scattering expt. cf. Experiment by Rutherford (α scatt.
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