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Potential Approach to Scattering of Exotic Nuclei

Potential Approach to Scattering of Exotic Nuclei. Goncharov S.A. Potential approach : effective potential conception. P → single elastic channel. Optical Model. Potential approach : effective potential conception. Mean Field Potential (“MFP”).

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Potential Approach to Scattering of Exotic Nuclei

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  1. Potential Approach to Scattering of Exotic Nuclei Goncharov S.A.

  2. Potential approach: effective potential conception P→ single elasticchannel Optical Model

  3. Potential approach: effective potential conception Mean Field Potential (“MFP”) Dynamic Polarization Potential (“DPP”) Dispersive Relation

  4. Phenomenological (Woods-Saxon)Optical Model Potential f(x)=(ex+1)-1, xi=(r–Ri)/ai(i=V,W,D)

  5. Semi-microscopic (or semi-phenomenological) approach Microscopic calculation of the mean field potential+ +Phenomenological construction of DPP Microscopic calculation of the mean field potential Folding Model ,

  6. Microscopic calculation of the mean field potential Semi-microscopic approach Exchange effects – Khoa-Knyazkov SNKE Procedure , “SNKE” – single nucleon knock-out exchange approximation

  7. Semi-microscopic approach Microscopic calculation of the mean field potential Effective nucleon-nucleon interaction s = rp - rt + r “M3Y” zc=zso=1, zten=s2(m=c,so,ten, n =D,E)

  8. Construction of DPP Semi-microscopic approach Microscopic calculations → rather qualitative information about different processes contributions in particular energy regions Phenomenological construction of DPPis still topical Imaginary part of DPP (“absorptive potential”) Real part of DPP (“dispersive correction”) rW,aW , rD, aD– free but the same for all energies W(E), WD(E),α(Е), β(Е) – free for all energies

  9. Semi-microscopic Dispersive Optical Model Potential Semi-microscopic approach • More flexible form but less number of parameters, less ambiguity • Explicit account for the dispersive relations • Explicit energy and radial dependences of DPP, the role of the DPP contribution Since wide-used version of the semi-microscopic approach

  10. Semi-microscopic Dispersive Optical Model PotentialAs Applied To 6Li+12C Elastic Scattering Experimental data set: Elab= 30, 60, 90, 99, 156, 210 and 318 Mev 6Li Density: by Zhukov et al.(“DZ”) 12C Densityfrom: Sorensen & Winter (“SW”) JV(E)=Jfold(E)+JP(E)

  11. Semi-microscopic Dispersive Optical Model PotentialAs Applied To Evaluations of 6He+12C Elastic Scattering 6He Density: by Zhukov et al.(“DZ”) 12C Densityfrom: Sorensen&Winter (“SW”)

  12. Semi-microscopic Dispersive Optical Model PotentialAs Applied To 4He+6Li & 6He+4He Elastic Scattering Experimental data set: E4He = 36.6, 50.4, 59.2, 104 & 166 Mev E6He = 151 Mev (Ter-Akopyan et al.) 6Li & 6He Density: by Zhukov et al.(“DZ”) 4He Density: gaussian

  13. Semi-microscopic Dispersive Optical Model PotentialAs Applied To 4He+6Li & 6He+4He Elastic Scattering Analysis of experimental data: E4He = 104 Mev & E6He = 151 Mev

  14. Semi-microscopic Dispersive Optical Model PotentialAs Applied To Isospin Effects in Elastic Scattering Comparative Analysis of Data Sets: 3He+14C at Elab=72 MeV (Ecm=59 MeV)& 14C+3H atElab=334MeV 3He,3H Density: by Efros et al. Vi3He – Vi3H

  15. Semi-microscopic Dispersive Optical Model PotentialAs Applied To Density Model Effects Comparative Evaluations of 6He+3He & 6He+3H Elastic Scattering “DZ” – solid“2pF” - dush 1– 3He 2 – 3H

  16. Semi-microscopic Dispersive Optical Model PotentialAs Applied To Density Model Effects Comparative Evaluations of 8He+3He & 8He+3H Elastic Scattering 1– 3He 2 – 3H

  17. Semi-microscopic Dispersive Optical Model PotentialAs Applied To Density Model Effects Comparative Evaluations of 8B+3He & 8B+3H Elastic Scattering 1 – 3He 2 – 3H

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