论文标题

在广义线性sigma模型中,重夸克尼亚质量的中等修饰

Medium modifications of Heavy Quarkonia masses in a generalized Linear Sigma Model

论文作者

Mondal, Arpita, Parui, Pallabi, Mishra, Amruta

论文摘要

我们研究charmon($ \ bar {c} c $)状态的质量变化($ j/ψ$,$ψ(2s)$,$ψ(1D)$,$χ_{c0} $,$χ_{c1} $和$χ_{c2} $($ c2} $)以及$ \ bar($ \ bar)( $υ(2s)$,$υ_2(1D)$,$χ_{b0} $,$χ_{B1} $和$χ_{B2} $)在异种不对称的核物质中。使用广义线性Sigma模型研究了这些模型。 QCD的量表不变性纳入了手性$ su(2)\ times su(2)$ lagrangian中,涉及标量(粘合球)Dilaton field field $χ$的对数术语的有效潜力。 Quarkonium状态的质量转移是通过DILATON场的培养基修改获得的,该介质修饰模拟了QCD的标量Gluon冷凝物。根据这项研究,我们观察到沉重的Quarkonia状态下的大量下降。因此,获得的有限密度的中等内质量应改变重夸克尼亚的中等内部衰减宽度,以打开浓风味的介体。这些密度效应可以在GSI(德国)和Jinr(在俄罗斯)的未来设施的高能核碰撞中进行探测,从而在产生高度密集的Baryonic物质的实验中。

We study the mass shifts of the charmonium ($\bar{c}c$) states ($J/ψ$, $ψ(2S)$, $ψ(1D)$, $χ_{c0}$, $χ_{c1}$ and $χ_{c2}$) as well as the bottomonium ($\bar{b}b$) states ($Υ(1S)$, $Υ(2S)$, $Υ_2(1D)$, $χ_{b0}$, $χ_{b1}$ and $χ_{b2}$) in isospin asymmetric nuclear matter. These are investigated using a generalized linear sigma model. The broken scale invariance of QCD is incorporated in the chiral $SU(2)\times SU(2)$ Lagrangian through an effective potential involving logarithmic terms of a scalar (glueball) dilaton field $χ$. The mass shifts of the quarkonium states are obtained through the medium modifications of the dilaton field which simulates the scalar gluon condensate of QCD. We observe an appreciable mass drop in the states of heavy quarkonia under this study. The in-medium masses at finite densities thus obtained should modify the in-medium partial decay widths of heavy quarkonia to open heavy flavor mesons. These density effects can be probed in in the high energy nuclear collisions at the future facility at GSI (at Germany) and JINR (at Russia) in the experiments producing highly dense baryonic matter.

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