微观光学模型势的可分性与钟形Perey-Buck非局域性
On the separability of microscopic optical model potentials and emerging bell-shape Perey-Buck nonlocality
摘要：
在核子-核散射光学模型势中出现的钟形Perey-Buck空间非定域现象，从微观的角度来看，已经存在了近60年。在这篇文章中，我们提供了一个定量的帐户，这种非局域性考虑完全非局域光学势在动量空间。该框架是基于动量空间介质折叠模型，其中无限核物质$g$矩阵在Brueckner-Hartree-Fock近似折叠的目标单体混合密度。研究基于手征次-主导级（N3 LO）和Argonne $v_{18}$核子-核子裸相互作用模型。应用程序集中在$^{40}$钙（$p,p$）在11-200兆电子伏的范围内的光束能量散射，导致识别的动量空间光学势的形式，我们硬币作为$JvH$，与非局部性形状因子作为其条款之一的可分离结构。由此产生的nonlocaliy形状因子具有钟形与非局域范围$β$之间的0.86和0.89 fm，质子和中子束在能量低于65 MeV。一个解析的玩具模型被引入来阐明光学模型中非定域性的潜在机制，根据目标核子的费米运动和$NN$相互作用的长程部分提供其范围的估计。
英文摘要：
After nearly sixty years since its introduction, the phenomenological bell-shape Perey-Buck spatial nonlocality in the optical model potential for nucleon-nucleus scattering has remained unaccounted for from a microscopic standpoint. In this article we provide a quantitative account for such nonlocality considering fully nonlocal optical potentials in momentum space. The framework is based on a momentum-space in-medium folding model, where infinite nuclear matter $g$ matrices in Brueckner-Hartree-Fock approximation are folded to the target one-body mixed density. The study is based on chiral next-to-next-to-next-to-leading order (N3LO) as well as Argonne $v_{18}$ nucleon-nucleon bare interaction models. Applications focus on $^{40}$Ca($p,p$) scattering at beam energies in the range 11-200 MeV, resulting in the identification of a separable structure of the momentum-space optical potential of a form we coin as $JvH$, with a nonlocality form factor as one of its terms. The resulting nonlocaliy form factor features a bell-shape with nonlocality range $β$ between 0.86 and 0.89 fm, for both proton and neutron beams at energies below 65 MeV. An analytic toy model is introduced to elucidate the underlying mechanism for the nonlocality in the optical model, providing an estimate of its range based on the Fermi motion of the target nucleons and the long-range part of the $NN$ interaction.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
