在核饱和性质约束下探索pvCD-Bonn势的参数空间
Exploring the Parameter Space of pvCD-Bonn Potentials under Constraints from Nuclear Saturation Properties
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中文总结 AI 辅助
本研究在相对论Brueckner-Hartree-Fock框架下，通过调整ρ介子张量耦合和分波依赖的σ介子耦合，探索pvCD-Bonn B势参数空间，在保持氘核性质的同时实现核物质饱和性质的合理描述。
中文摘要 AI 辅助
我们在相对论Brueckner-Hartree-Fock框架内，在对称核物质经验饱和性质的约束下，探索了pvCD-Bonn B势的参数空间。我们首先考察了标量介子和π介子耦合常数的影响。仅改变$^{1}S_0$和$^{3}S_1$-$^{3}D_1$道中的σ介子耦合无法同时重现经验的饱和密度和结合能，而增加$g_\pi$则使饱和点向经验区域移动。然而，单独改变$g_\pi$也会影响氘核性质和张量敏感的观测量。因此，我们通过改变ρ介子张量耦合$f_\rho/g_\rho$并重新调整$^{1}S_0$和$^{3}P_0$道中的有效σ介子耦合来扩展参数搜索。四组具有$g_\pi^2/4\pi=14.7$–15.0的代表性参数集给出了接近实验值的氘核性质，并在$E_{\rm lab}=50$和212 MeV下维持了对主要中子-质子相移和微分截面的合理描述。它们的饱和密度位于$0.159$–$0.161~\mathrm{fm}^{-3}$范围内，饱和能在$-15.00$和$-15.38~\mathrm{MeV}$之间。对于通过改变$g_\pi$获得的相互作用，中子星质量-半径关系仅显示出对π耦合的弱依赖性，最大质量约为$2.24$–$2.28~M_\odot$，在$1.4~M_\odot$处的半径约为$12.3$–$12.6~\mathrm{km}$。这些结果表明，包含ρ介子张量耦合和分波依赖的σ介子耦合比单独改变π耦合能更好地平衡自由空间两核子观测量和核物质饱和性质。
英文摘要
We explore the parameter space of the pvCD-Bonn B potential within the relativistic Brueckner--Hartree--Fock framework under the constraints from the empirical saturation properties of symmetric nuclear matter. We first examine the effects of the scalar-meson and pion coupling constants. Changing the $σ$-meson couplings in the $^{1}S_0$ and $^{3}S_1$--$^{3}D_1$ channels alone cannot reproduce the empirical saturation density and binding energy at the same time, whereas increasing $g_π$ moves the saturation point toward the empirical region. However, changing $g_π$ alone also affects the deuteron properties and tensor-sensitive observables. We therefore extend the parameter search by varying the $ρ$-meson tensor coupling $f_ρ/g_ρ$ and readjusting the effective $σ$-meson couplings in the $^{1}S_0$ and $^{3}P_0$ channels. Four representative parameter sets with $g_π^2/4π=14.7$--15.0 give deuteron properties close to the experimental values and maintain a reasonable description of the main neutron--proton phase shifts and differential cross sections at $E_{\rm lab}=50$ and 212 MeV. Their saturation densities lie in the range $0.159$--$0.161~\mathrm{fm}^{-3}$, with saturation energies between $-15.00$ and $-15.38~\mathrm{MeV}$. For the interactions obtained by varying $g_π$, the neutron-star mass--radius relations show only a weak dependence on the pion coupling, with maximum masses of about $2.24$--$2.28\,M_\odot$ and radii of about $12.3$--$12.6~\mathrm{km}$ at $1.4\,M_\odot$. These results show that including the $ρ$-meson tensor coupling and partial-wave-dependent $σ$-meson couplings provides a better balance between free-space two-nucleon observables and nuclear-matter saturation properties than varying the pion coupling alone.
发表机构
- Nankai University（南开大学）
- Graduate School of China Academy of Engineering Physics（中国工程物理研究院研究生院）
- Shenzhen Research Institute of Nankai University（南开大学深圳研究院）
- Tianjin University（天津大学）
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