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arXiv 2302.04781nucl-thhep-ph
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夸克子平均场理论

Quarkyonic Mean Field Theory

Dyana C. Duarte, Saul Hernandez-Ortiz, Kie Sang Jeong, Larry D. McLerran

AI总结:

本文提出零温夸克子物质的平均场理论,用矢量与标量相互作用处理核子,结合唯象假设描述夸克费米海,实现从低密度到高密度饱和物质的转变。

摘要:

我们讨论了零温下夸克子物质的平均场理论。我们在平均场近似下用接触相互作用处理核子,同时讨论矢量和标量平均场相互作用。我们处理夸克时不引入矢量平均场相互作用,但允许根据夸克质量的加性夸克模型,由标量平均场一致地生成质量项。夸克子物质由一个核子壳层组成,该壳层并未完全占据与底层夸克自由度相关的全部可用相空间。在高密度下,该核子壳层下方完全占据的费米球被视为夸克,但当这种完全占据的态分布首次出现时,尽管相空间已被填满,物质仍处于低密度状态。对于这种低密度物质与高密度饱和物质之间的转变,我们主张用强子对完全填充的费米海进行双重描述,并对这种物质的物态方程提出一个唯象假设。然后我们转向一个例子,其中平均场相互作用全部为矢量且仅与核子相关,忽略与标量相互作用相关的质量变化效应。除了泡利阻塞效应外,核子和夸克之间没有相互作用。为了获得向夸克子物质的合理转变,假设夸克之间的相互作用是非微扰的,并引入夸克费米能量与密度之间的简单唯象关系。

英文摘要:

We discuss mean field theory of Quarkyonic matter at zero temperature. We treat the nucleons with contact interactions in mean field approximation, discussing both vector and scalar mean field interactions. We treat the quarks without mean field vector interactions, but allow mass terms to be generated consistent from a scalar mean field consistent with the additive quark model for quark masses. Quarkyonic matter is composed of a shell of nucleons that under-occupy the total available phase space associated with the underlying quark degrees of freedom. The fully occupied Fermi sphere beneath this shell of nucleons at high densities is thought of as quarks, but when this fully occupied distribution of states first appears, although the phase space is filled, the matter is at low density. For the transition between this low density and high density saturated matter, we advocate a dual description of the fully filled Fermi sea in terms of hadrons, and make a phenomenological hypothesis for the equation of state of this matter. We then proceed to an example where the mean field interactions are all vector and only associated with the nucleons, ignoring the effects of mass change associated with the scalar interactions. Except for the effects of Pauli blocking, the nucleons and quarks do not interact. To get a reasonable transition to Quarkyonic matter the interaction of the quarks among themselves are assumed to be non-perturbative, and a simple phenomenological relation between quark Fermi energy and density is introduced.

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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