arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2408.04527nucl-th
收藏

密度依赖相对论平均场理论框架下的粲超核

Charmed hypernuclei within density-dependent relativistic mean-field theory

Wei Yang, Shi Yuan Ding, Bao Yuan Sun

备注：
15 pages, 8 figures, 3 tables
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

AI总结：

本文基于DDRMF理论导出两套$Λ_c N$有效相互作用，系统研究了粲$Λ_{c}^{+}$超核的存在性及体性质，发现重排项与库仑排斥分别主导轻、重超核稳定性，强调有限密度下相互作用约束的重要性。

摘要：

本文在密度依赖相对论平均场（DDRMF）理论框架下研究了粲 $ Λ_{c}^{+} $ 超核。基于通过对称核物质中超子势的微观第一性原理计算所得的经验结果，通过在最小不确定度（费米动量 $k_{F,n} = 1.05~\ m{fm}^{-1}$）和近饱和密度（$k_{F,n} = 1.35~\ m{fm}^{-1}$）下拟合势能，导出了两套 $Λ_c N$ 有效相互作用。随后利用这些 DDRMF 模型，探讨了 $Λ_{c} N$ 有效相互作用的不确定性对超核体性质和单粒子性质描述的影响。对束缚态 $Λ_{c}^{+}$ 超核的存在性进行了系统研究，并从 $Λ_{c}^{+}$ 势的角度分析了影响超核存在性和稳定性的主导因素。研究发现，超子势不仅受库仑排斥作用影响，还受到由于介子-重子耦合强度的密度依赖性引起的重排项的额外贡献。因此，重排项对轻超核的稳定性描述有显著影响，而对于较重的超核，库仑排斥作用的贡献变得越来越重要并最终占据主导地位。随后利用这些模型深入讨论了粲超核的体性质和单粒子性质。结果表明，即使不同模型对核物质给出相似的超子势，对核介质效应的不同处理也会导致超核结构理论描述上的差异。本研究表明，对有限密度下 $ Λ_{c} N $ 相互作用的约束对于研究 $ Λ_{c}^{+} $ 超核结构至关重要。

英文摘要：

The charmed $ Λ_{c}^{+} $ hypernuclei are investigated within the framework of the density-dependent relativistic mean-field (DDRMF) theory. Starting from the empirical hyperon potential in symmetric nuclear matter, obtained through microscopic first-principle calculations, two sets of $Λ_c N$ effective interactions were derived by fitting the potentials with minimal uncertainty (Fermi momentum $k_{F,n} = 1.05~\rm{fm}^{-1}$) and near saturation density ($k_{F,n} = 1.35~\rm{fm}^{-1}$). These DDRMF models were then used to explore the $Λ_{c} N$ effective interaction uncertainties on the description of hypernuclear bulk and single-particle properties. A systematic investigation was conducted on the existence of bound $Λ_{c}^{+}$ hypernuclei. The dominant factors affecting the existence and stability of hypernuclei were analyzed from the perspective of the $Λ_{c}^{+}$ potential. It is found that the hyperon potential is not only influenced by the Coulomb repulsion, but by an extra contribution from the rearrangement terms due to the density dependence of the meson-baryon coupling strengths. Therefore, the rearrangement term significantly impacts the stability description for light hypernuclei, while for heavier hypernuclei, the contribution from Coulomb repulsion becomes increasingly significant and eventually dominant. The discussion then delves into the bulk and single-particle properties of charmed hypernuclei using these models. It is found that even when different models yield similar hyperon potentials for nuclear matter, different treatments of nuclear medium effects could lead to disparities in the theoretical description of hypernuclear structures. This study indicates that constraints on the $ Λ_{c} N $ interaction at finite densities are crucial for the study of $ Λ_{c}^{+} $ hypernuclear structures.

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。

↑