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arXiv 1506.01447nucl-thhep-ph
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冷稠密物质中的对称能

Symmetry energy in cold dense matter

Kie Sang Jeong, Su Houng Lee

摘要:

我们计算了冷密物质在正常夸克相和双色超导体(2SC)相的对称能。对于正常相,热力学势的计算是通过使用硬稠密圈(HDL)重算到首阶,其中主要的贡献来自纵向胶子静止质量。由热力学势得到的对称能受胶子相互作用的影响很小。在2SC阶段,非微扰BCS配对提供了增强的对称性能量,因为带隙态被迫处于共同的费米海中,从而减少了可能导致不对称性的可用夸克的数量。我们用高密度有效场论估计了胶子相互作用对对称能的贡献。在2SC相的胶子静止质量中,只有迈斯纳质量具有同位旋依赖性,尽管其大小比德拜质量小得多。由于胶子静止质量的同位旋依赖性比正常相的情况更小,我们预计胶子相互作用对2SC相对称能的贡献将是最小的。在重离子碰撞实验中,各相对称能的不同将导致对粒子产额的不同预测。

英文摘要:

We calculate the symmetry energy in cold dense matter both in the normal quark phase and in the 2-color superconductor (2SC) phase. For the normal phase, the thermodynamic potential is calculated by using hard dense loop (HDL) resummation to leading order, where the dominant contribution comes from the longitudinal gluon rest mass. The effect of gluonic interaction to the symmetry energy, obtained from the thermodynamic potential, was found to be small. In the 2SC phase, the non-perturbative BCS paring gives enhanced symmetry energy as the gapped states are forced to be in the common Fermi sea reducing the number of available quarks that can contribute to the asymmetry. We used high density effective field theory to estimate the contribution of gluon interaction to the symmetry energy. Among the gluon rest masses in 2SC phase, only the Meissner mass has iso-spin dependence although the magnitude is much smaller than the Debye mass. As the iso-spin dependence of gluon rest masses is even smaller than the case in the normal phase, we expect that the contribution of gluonic interaction to the symmetry energy in the 2SC phase will be minimal. The different value of symmetry energy in each phase will lead to different prediction for the particle yields in heavy ion collision experiment.

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