Ab initio folding potentials for nucleon-nucleus scattering based on no-core shell-model one-body densities

Ab initio folding potentials for nucleon-nucleus scattering based on no-core shell-model one-body densities
复制标题

基于无核壳模型单体密度的核子-核散射的从头计算折叠势

DOI:
10.1103/physrevc.99.044603
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发表时间:
2019
期刊:
影响因子:
3.1
通讯作者:
Popa, G.
Popa, G.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Burrows, M.;Elster, Ch.;Weppner, S. P.;Launey, K. D.;Maris, P.;Nogga, A.;Popa, G.

文献摘要

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背景:计算核子-核弹性散射的微观光学势在过去已经导致了大量的工作。在折叠一级计算中,核子-核子()相互作用和原子核的单体密度被作为多重散射级数旁观者展开的输入进行严格计算。目的:基于多重散射级数的沃森展开,我们采用由手征次-次-主导级(NNLO)和完全相同的相互作用导出的非定域不变核密度,对轻核核子-原子核散射的有效(光学)势进行一致的全折叠计算。方法:一阶有效(光学)折叠势是通过对非定域的、几何不变的NCSM单体密度和离壳Wolfenstein振幅A和C进行积分来计算的。结果:我们计算了在100和200 MeV的能量范围内,质子和中子从、和弹性散射的散射观测量,如总散射截面、反应截面和微分散射截面,以及分析功率和自旋旋转参数,并与现有数据进行了比较。结论:我们的计算表明,从第一-第二反应中得到的有效核子-核势比从第二反应中得到的有效核子-核势要小得多。多重散射展开的旁观者展开中的阶项很好地描述了质心系中约60度的实验,这与用于计算振幅和一体核密度的NNLO手征相互作用的有效性大致一致。
Background:Calculating microscopic optical potentials for elastic nucleon-nucleus scattering has already led to large body of work in the past. For folding first-order calculations the nucleon-nucleon () interaction and the one-body density of the nucleus were taken as input to rigorous calculations in a spectator expansion of the multiple scattering series.Purpose:Based on the Watson expansion of the multiple scattering series we employ a nonlocal translationally invariant nuclear density derived from a chiral next-to-next-to-leading order (NNLO) and the very same interaction for consistent full-folding calculation of the effective (optical) potential for nucleon-nucleus scattering for light nuclei.Methods:The first order effective (optical) folding potential is computed by integrating over the nonlocal, translationally invariant NCSM one-body density and the off-shell Wolfenstein amplitudes A and C. The resulting nonlocal potential serves as input for a momentum-space Lippmann-Schwinger equation, whose solutions are summed to obtain the nucleon-nucleus scattering observables.Results:We calculate scattering observables, such as total, reaction, and differential cross sections as well as the analyzing power and the spin-rotation parameter, for elastic scattering of protons and neutrons from,,, and, in the energy regime between 100 and 200 MeV projectile kinetic energy, and compare to available data.Conclusions:Our calculations show that the effective nucleon-nucleus potential obtained from the first-order term in the spectator expansion of the multiple scattering expansion describes experiments very well to about 60 degrees in the center-of-mass frame, which coincides roughly with the validity of the NNLO chiral interaction used to calculate both theamplitudes and the one-body nuclear density.