论文标题

使用线性Sigma模型探测密集两色QCD中的强子质量谱

Probing the hadron mass spectrum in dense two-color QCD with the linear sigma model

论文作者

Suenaga, Daiki, Murakami, Kotaro, Itou, Etsuko, Iida, Kei

论文摘要

我们研究了有限夸克化学势在两种味道和两色QCD中的强子肿块的修饰,其中基于近似Pauli-Gursey $ su(4)$对称性的线性Sigma模型,可以从晶格模拟中获得数据。该模型不仅描述了地面标量diquarks和伪量表中的介子,还描述了激发的伪量表diquark和标量介子。每个地下态diquark(介子)的兴奋性diquark(强子)与手性伴侣相反。手性对称性断裂和diquark冷凝物的影响通过平均场治疗纳入。我们表明,在超氟中阶段的巴属数量保护触发的黑龙之间的各种混合物导致了丰富的强子质量谱。我们讨论$ u(1)_a $异常对质谱密度依赖性以及手性伴侣结构的表现的影响,并且随着密度在超氟相位的增加。预测的强子质量有望为未来的晶格模拟提供有关此类对称性能的有用信息,以浓密的两种颜色QCD中的这种对称性。

We investigate modifications of hadron masses at finite quark chemical potential in two-flavor and two-color QCD, of which the data are available from lattice simulations, within a linear sigma model based on approximate Pauli-Gursey $SU(4)$ symmetry. The model describes not only ground-state scalar diquarks and pseudo-scalar mesons but also the excited pseudo-scalar diquarks and scalar mesons; each ground-state diquark (meson) has the corresponding excited diquark (hadron) with opposite parity as a chiral partner. Effects of chiral symmetry breaking and diquark condensates are incorporated by a mean-field treatment. We show that various mixings among the hadrons, which are triggered by the breakdown of baryon number conservation in the superfluid phase, lead to a rich hadron mass spectrum. We discuss the influence of $U(1)_A$ anomaly on the density dependence of the mass spectrum and also manifestations of the chiral partner structures as density increases in the superfluid phase. The predicted hadron masses are expected to provide future lattice simulations with useful information on such symmetry properties in dense two-color QCD.

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