Title: Chiral confining Hartree-Fock Lagrangians based on Nambu-Jona--Lasino model Show Chinese title

Title: 基于Nambu-Jona-Lasino模型的手征约束Hartree-Fock拉格朗日量

Abstract: We study a relativistic Hartree-Fock Lagrangian model which considers confinement, chiral symmetry breaking, nucleon form factor and short range correlations. The chiral potential originally based on the linear sigma-model is compared to an improved potential generated by the Nambu-Jona--Lasino (NJL) model for quark interaction. Our model is also anchored in fundamental hadronic properties predicted by Lattice-QCD calculations and a few nuclear empirical properties. We explore in a Bayesian approach the role of the saturation density, the energy per particle and the incompressibility modulus for the model selection. We find that most of our models could not reproduce these empirical quantities, unless a phenomenological "missing" energy is added. The properties of this "missing" energy are therefore inferred from our Bayesian analysis and we obtain that it shall be attractive. Finally we analyse the origin of the break down density in relativistic approaches and we relate it to the properties of the scalar potential. Show Chinese abstract

Abstract: 我们研究了一种相对论Hartree-Fock拉格朗日模型，该模型考虑了约束、手征对称性破缺、核子形式因子和短程关联。 最初基于线性sigma模型的手征势与由夸克相互作用的Nambu-Jona--Lasino (NJL) 模型生成的改进势进行了比较。 我们的模型还以格点QCD计算预测的基本强子性质和一些核经验性质为基础。 我们采用贝叶斯方法探讨了饱和密度、每粒子能量以及模型选择的不可压缩性模量的作用。 我们发现，除非添加一个现象学的“缺失”能量，否则大多数模型无法再现这些经验量。 因此，我们从贝叶斯分析中推断出这种“缺失”能量的性质，并得到它应该是吸引性的。 最后，我们分析了相对论方法中崩溃密度的起源，并将其与标量势的性质联系起来。