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arXiv 0707.3785hep-ph
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磁场中的彩色超导物质

Color superconducting matter in a magnetic field

Kenji Fukushima, Harmen J. Warringa

摘要:

本文利用一个考虑电中性和色中性的四费米相互作用的有效模型,研究了磁场对冷密三味夸克物质的影响。能隙参数Δ_1、Δ_2和Δ_3分别代表了下奇夸克(d-s)、上奇夸克(s-u)和上奇夸克(u-d)之间的主要配对,它们显示了deHaas-van Alphen效应,即作为可穿透色超导介质的修正磁场B的函数的振荡行为。在不应用电中性和色中性的情况下,我们发现对于2 e B /mu_q ^2,Δ_2 \approx Δ_3>> Δ_1,其中e是修正的电磁耦合常数,mu_q是重子化学势的三分之一。由于考虑中性会影响每个配对的平均费米面,因此在这种情况下,能隙结构会发生剧烈变化;我们发现,当2 e B > mu_q ^2时,Δ 1>> Δ 2 \approx Δ 3。我们指出,磁星内部可能存在的强磁场,在零磁场下,可能会引起带隙结构δ_1 \approx δ_2 \approx δ_3的显著偏离.

英文摘要:

We investigate the effect of a magnetic field on cold dense three-flavor quark matter using an effective model with four-Fermi interactions with electric and color neutrality taken into account. The gap parameters Delta_1, Delta_2, and Delta_3 representing respectively the predominant pairing between down and strange (d-s) quarks, strange and up (s-u) quarks, and up and down (u-d) quarks, show the de Haas-van Alphen effect, i.e. oscillatory behavior as a function of the modified magnetic field B that can penetrate the color superconducting medium. Without applying electric and color neutrality we find Delta_2 \approx Delta_3 >> Delta_1 for 2 e B / mu_q^2, where e is the modified electromagnetic coupling constant and mu_q is one third of the baryon chemical potential. Because the average Fermi surface for each pairing is affected by taking into account neutrality, the gap structure changes drastically in this case; we find Delta_1 >> Delta_2 \approx Delta_3 for 2 e B > mu_q^2. We point out that the magnetic fields as strong as presumably existing inside magnetars might induce significant deviations from the gap structure Delta_1 \approx Delta_2 \approx Delta_3 at zero magnetic field.

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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