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arXiv 1307.0934nucl-th
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具有手征对称性和夸克质量变化的相对论独立夸克模型中的核物质状态方程

Nuclear equation of state in a relativistic independent quark model with chiral symmetry and variation with quark masses

N. Barik, R. N. Mishra, D. K. Mohanty, P. K. Panda, T. Frederico

摘要:

本文采用相对论势模型,结合真空中核子的结构,用夸克-介子耦合机制自洽地计算了核物质的性质,其中核子内自由独立夸克的主要限制相互作用用等混合标量-矢量调和形式的唯象平均势表示.为了得到真空中的核子质量,我们用微扰的方法考虑了由于质心运动的假修正以及由于其它残余相互作用(如短距离的单胶子交换和由手征对称性恢复引起的夸克-π介子耦合)所引起的修正。通过平均场近似,在σ介子和Ω介子中引入额外的夸克耦合,实现了核物质中的核子-核子相互作用。在了解核物质的结合能、压力和压缩性等饱和性质的同时,自洽地获得了相互作用的相关参数。我们还讨论了核物质中的手征对称性、核子和核σ项以及核物质结合能随轻夸克质量变化的敏感性。

英文摘要:

We have calculated the properties of nuclear matter in a self-consistent manner with quark-meson coupling mechanism incorporating structure of nucleons in vacuum through a relativistic potential model; where the dominant confining interaction for the free independent quarks inside a nucleon, is represented by a phenomenologically average potential in equally mixed scalar-vector harmonic form. Corrections due to spurious centre of mass motion as well as those due to other residual interactions such as the one gluon exchange at short distances and quark-pion coupling arising out of chiral symmetry restoration; have been considered in a perturbation manner to obtain the nucleon mass in vacuum. The nucleon-nucleon interaction in nuclear matter is then realized by introducing additional quark couplings to sigma and omega mesons through mean field approximations. The relevant parameters of the interaction are obtained self consistently while realizing the saturation properties such as the binding energy, pressure and compressibility of the nuclear matter. We also discuss some implications of chiral symmetry in nuclear matter along with the nucleon and nuclear sigma term and the sensitivity of nuclear matter binding energy with variations in the light quark mass.

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。

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