论文标题
具有自洽平均场近似值的有限等音和重子化学势的QCD相图
QCD phase diagram at finite isospin and baryon chemical potentials with the self-consistent mean field approximation
论文作者
论文摘要
通过引入免费参数$α$的两种风味NJL模型的自洽平均场近似,以反映“直接”频道和“交换”频道之间的竞争,用于研究有限的等值化学物质潜能$μ_i$,有限的Baryon Chemical Exigents $μ__b$和FINITE $μ_b$&FINITE $μ_b$ $ t $ t $的QCD相结构。发现,对于固定的同胞化学电势,$ t-μ_i$平面的$α$增加获得了较低的相变温度,而不同$α$的相变温度的最大差异出现在$μ_i_i\ sim \ sim15m_π$。在$μ_i= 0 $时,QCD临界终点的温度(CEP)随着$α$的增加而降低,而临界重的化学势会增加。在高isospin化学势($μ_i= 500 $ MEV)下,随着$α$的增加,QCD Tricricition Point(TCP)的温度增加,在低温区域中,系统将从PION超荧光阶段转移到正常阶段,为$μ_b$增加。在低温下,不同$α$的QCD相变的临界温度在开始时以$μ_i$的速度迅速增加,然后平稳地增加$μ_i_i> 300 $ MEV。在高巴属密度区域中,同胞素化学势的增加将提高相变的关键重子化学潜力。
The self-consistent mean field approximation of two-flavor NJL model with introducing a free parameter $α$ to reflect the competition between "direct" channel and the "exchange" channel, is employed to study QCD phase structure at finite isospin chemical potential $μ_I$, finite baryon chemical potential $μ_B$ and finite temperature $T$, especially the location of the QCD critical point. It is found that, for fixed isospin chemical potentials the lower temperature of phase transition is obtained with $α$ increasing in the $T-μ_I$ plane, and the largest difference of the phase transition temperature with different $α$'s appears at $μ_I \sim 1.5m_π$. At $μ_I=0$ the temperature of the QCD critical end point (CEP) decreases with $α$ increasing, while the critical baryon chemical potential increases. At high isospin chemical potential ($μ_I=500$ MeV), the temperature of the QCD tricritical point (TCP) increases with $α$ increasing, and in the regions of low temperature the system will transit from pion superfluidity phase to the normal phase as $μ_B$ increases. At low temperatures, the critical temperature of QCD phase transition with different $α$'s rapidly increases with $μ_I$ at the beginning, and then increases smoothly around $μ_I>300$ MeV. In high baryon density region, the increase of the isospin chemical potential will raise the critical baryon chemical potential of phase transition.