标题： 低动量相对论性核-核势 I：核物质 显示英文标题

标题： Low-momentum relativistic nucleon-nucleon potentials I: Nuclear matter

摘要： 文中构建了一系列用于双核子系统的相对论单玻色子交换势（OBEP），记作$\Lambda$，其动量截断值$\Lambda$范围从$\infty$到 2 fm$^{-1}$。 这些势通过同时拟合核子-核子（$NN$）散射相移、低能散射长度、有效范围以及氘核的结合能而发展起来。 低动量OBEP$\Lambda$（$\Lambda\leqslant 3$fm$^{-1}$）的动量空间矩阵元与通过重正化群方法演化得到的其他现实istic$NN$势所观察到的普遍行为一致。 这些OBEP$\Lambda$被用于在非相对论（NR）Brueckner-Hartree-Fock（BHF）或相对论性 Brueckner-Hartree-Fock（RBHF）框架内计算对称核物质（SNM）的状态方程。 结果显示，SNM的饱和性质从RBHF计算中定性地再现出来，但在NR-BHF计算中没有。 这项研究强调了解释核物质饱和性质的相对论机制。 使用OBEP$\Lambda$在RBHF计算中再现经验饱和性质的剩余差异表明有必要包括三核子关联或真正的三核子力。 显示英文摘要

摘要： A series of relativistic one-boson-exchange potentials for two-nucleon system, denoted as OBEP$\Lambda$, is constructed with a momentum cutoff $\Lambda$ ranging from $\infty$ to 2 fm$^{-1}$. These potentials are developed by simultaneous fitting to nucleon-nucleon ($NN$) scattering phase shifts, low-energy scattering length, effective range, and the binding energy of the deuteron. The momentum-space matrix elements of the low-momentum OBEP$\Lambda$ ($\Lambda\leqslant 3$ fm$^{-1}$) demonstrate consistency with the universal behaviors observed in other realistic $NN$ potentials evolved by renormalization group methods. These OBEP$\Lambda$s are applied to calculate the equation of state of symmetric nuclear matter (SNM) within either the nonrelativistic (NR) Brueckner-Hartree-Fock (BHF) or relativistic Brueckner-Hartree-Fock (RBHF) frameworks. The results show that the saturation properties of SNM are reproduced qualitatively from the RBHF calculation, but not from the NR-BHF calculation. This study highlights the relativistic mechanism in explaining the saturation properties of nuclear matter. The remaining discrepancy in reproducing empirical saturation properties in the RBHF calculation using the OBEP$\Lambda$s signals the necessity of including three-nucleon correlations or genuine three-nucleon forces.