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A new parametric equation of state and quark stars

ISSN号：1674-1137
期刊名称：Chinese Physics C
时间：2011.7.7
页码：616-621
分类：O171[理学—数学;理学—基础数学] P144[天文地球—天体物理;天文地球—天文学]
作者机构：[1]School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
相关基金：Supported by China Scholarship Council, NSFC （10973002, 10935001）, National Basic Research Program of China （2009CB824800） and the John Templeton Foundation. We wish to thank the Pulsar Group at Peking University for useful discussions.
相关项目：高温高密强相互作用物质性质的研究

关键词：参数方程, 夸克星, 核子相互作用, 强相互作用, 表面相互作用, 天体物理学, 相互作用势, 状态方程, quark star, solid quark matter, mass radius relation, massive pulsar

中文摘要：

It is still a matter of debate to understand the equation of state of cold matter with supra-nuclear density in compact stars because of unknown non-perturbative strong interaction between quarks. Nevertheless, it is speculated from an astrophysical view point that quark clusters could form in cold quark matter due to strong coupling at realistic baryon densities. Although it is hard to calculate this conjectured matter from first principles, one can expect that the inter-cluster interaction will share some general features with the nucleon-nucleon interaction successfully depicted by various models. We adopt a two-Gaussian component soft-core potential with these general features and show that quark clusters can form stable simple cubic crystal structure if we assume that the wave function of quark clusters have a Gaussian form. With this parametrization, the Tolman-Oppenheimer-Volkoff equation is solved with reasonably constrained parameter space to give mass-radius relations of crystalline solid quark stars. With baryon number densities truncated at 2n0 at surface and the range of the interaction fixed at 2 fm we can reproduce similar mass-radius relations to that obtained with bag model equations of state. The maximum mass ranges from ～ 0.5M⊙ to 3M⊙ . The recently measured high pulsar mass ( 2M⊙ ) is then used to constrain the parameters of this simple interaction potential.

英文摘要：

It is still a matter of debate to understand the equation of state of cold matter with supra-nuclear density in compact stars because of unknown non-perturbative strong interaction between quarks. Nevertheless, it is speculated from an astrophysical view point that quark clusters could form in cold quark matter due to strong coupling at realistic baryon densities. Although it is hard to calculate this conjectured matter from first principles, one can expect that the inter-cluster interaction will share some general features with the nucleon- nucleon interaction successfully depicted by various models. We adopt a two-Gaussian component soft-core potential with these general features and show that quark clusters can form stable simple cubic crystal structure if we assume that the wave function of quark clusters have a Gaussian form. With this parametrization, the Tolman-Oppenheimer-Volkoff equation is solved with reasonably constrained parameter space to give massradius relations of crystalline solid quark stars. With baryon number densities truncated at 2n0 at surface and the range of the interaction fixed at 2 fm we can reproduce similar mass-radius relations to that obtained with bag model equations of state. The maximum mass ranges from - 0.5M⊙ to 〉～ 3M⊙. The recently measured high pulsar mass （〉～ 2M⊙） is then used to constrain the parameters of this simple interaction potential.

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