近零温度下非零同位旋化学势环境中的夸克onium
Quarkonium in non-zero isospin chemical potential environment at $T \simeq 0$
AI总结：
研究近零温度下非零同位旋化学势对夸克onium状态的影响，通过格点非相对论QCD计算夸克相关函数，发现Upsilon质量随同位旋不对称性增强而增大。
摘要：
我们研究了在近零温度的QCD中，同位旋不对称性如何影响夸克onium状态。利用非相对论量子色动力学形式的格点方法，我们计算了底夸克相关函数，在由具有同位旋化学势效应的动力学的$N_f = 2 + 1$味动态阶梯夸克生成的规范场集合中，然后构建$S-$和$P-$波夸克onium状态相关函数。从这些夸克onium相关函数中，我们考虑了非零同位旋化学势下夸克onium相关函数与在$μ_I a = 0.000$下的比值。这里，使用了在$32^3 \times 48$晶格上，非零同位旋电流强度$λa = 0.0010, 0.0018,$和$0.0036$，其中$ m_π= 135$ MeV和$a = 0.1535$ fm的规范场集合，$μ_I a = 0.000, 0.048, 0.053, 0.059, 0.066, 0.080, 0.092$和$0.106$。初步结果表明，对于$μ_I a = 0.106$，Upsilon质量比真空中的Upsilon质量更重，并且在$μ_I a = 0.106$以下，同位旋不对称性对Upsilon质量的影响不是单调的。
英文摘要：
We study how the isospin asymmetry affects quarkonium states in QCD at near zero temperature. Using lattice Non-Relativistic QCD formalism, we calculate bottom quark correlators in the gauge field ensembles generated with $N_f = 2 + 1$ flavors of dynamical staggered quarks whose dynamics include the isospin chemical potential effect and then construct $S-$ and $P-$ wave quarkonium state correlators. From these quarkonium correlators, we consider the ratios of quarkonium correlators at non-zero isospin chemical potential to that at $μ_I a = 0.000$. Here, the gauge field ensemble with $μ_I a = 0.000, 0.048, 0.053, 0.059, 0.066, 0.080, 0.092$ and $0.106$ on a $32^3 \times 48$ lattice with non-zero isospin current strength $λa = 0.0010, 0.0018,$ and $0.0036$, where $m_π= 135$ MeV and $a = 0.1535$ fm from \cite{Brandt:2022hwy}, are used. Preliminary results suggest that for $μ_I a = 0.106$, the Upsilon mass gets heavier than the Upsilon mass in the vacuum and that below $μ_I a = 0.106$ the isospin asymmetry effect on the Upsilon mass is not monotonic.
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