Heavy-quark dynamics for charm and bottom flavor on the Fermi surface at zero temperature
Heavy-quark dynamics for charm and bottom flavor on the Fermi surface at zero temperature
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DOI：
10.1103/physrevc.88.015201
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发表时间：
2013-01
影响因子：
3.1
通讯作者：
S. Yasui;K. Sudoh
中科院分区：
文献类型：
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作者：
S. Yasui;K. Sudoh
我们讨论零温度下有限密度介质中的动力学，包括具有重味道、魅力和底部的重杂质粒子（强子或夸克）。作为一个系统，我们将嵌入核物质中的 $\bar{D}$ ($B$) 介子视为具有 SU(2) 同位旋对称性的重杂质玻色子。作为另一个系统，我们还将嵌入夸克物质中的粲（底部）夸克视为具有 SU(3) 颜色对称性的重杂质费米子。我们假设构成费米表面的费米子和嵌入的重杂质粒子具有 SU($n$) 对称性 ($n \ge 2$) 的矢量电流相互作用，并微扰地计算小耦合常数高达单环水平的散射幅度。我们发现，在重杂质粒子的大质量极限下，散射幅度呈对数增强，并表明，对于该极限内的任何小耦合常数，微扰计算都会失败。
We discuss the dynamics in finite density medium including a heavy impurity particle (hadron or quark) with a heavy flavor, charm and bottom, at zero temperature. As a system, we consider a $\bar{D}$ ($B$) meson embedded in nuclear matter as a heavy impurity boson with SU(2) isospin symmetry. As another system, we also consider a charm (bottom) quark embedded in quark matter as a heavy impurity fermion with SU(3) color symmetry. We suppose a vector current interaction with SU($n$) symmetry ($n \ge 2$) for the fermion composing the Fermi surface and the embedded heavy impurity particle, and calculate the scattering amplitude perturbatively for the small coupling constant up to one-loop level. We obtain that the scattering amplitude has a logarithmic enhancement in the large mass limit of the heavy impurity particle, and show that the perturbative calculation breaks down for any small coupling constant in this limit.