论文标题
弱磁场中重夸克尼亚的解离
Dissociation of heavy quarkonia in a weak magnetic field
论文作者
论文摘要
我们检查了弱磁场对沉浸在夸克和胶子热培养基中的重夸克尼亚解离的影响。为此,我们在热培养基中存在弱磁场的情况下重新审视了Gluon自能量张量的一般结构,并获得了相关的结构函数。结构函数赋予重新召集的Gluon繁殖器的真实和虚构部分,这进一步提供了相应的介电渗透率。介电介电常数的真实和虚构部分将用于评估复杂的重夸克潜力的真实和虚构部分。发现电势的真正部分被发现更加筛分,而在增加温度和磁场的值时,电势的大小会增加。除此之外,我们已经观察到,与没有磁场的情况相比,与磁场相比,在弱磁场的存在下,在弱磁场存在下,实际的部分会稍微筛选。筛选电位的筛选的增加导致$ j/ψ$和$υ$的结合能的下降,而假想部分的大小的增加会导致随着温度和磁场的温度而增加热宽度。在弱磁场存在的情况下,与纯热的情况相比,在弱磁场存在下的结合能和热宽度分别变得越来越大。我们终于获得了$ j/ψ$和$υ$的分离温度,在存在弱磁场的情况下,它们会略低。由于存在弱磁场,因此该观察结果导致Quarkonia的早期解离。
We examined the effects of the weak magnetic field on the dissociation of heavy quarkonia immersed in a thermal medium of quarks and gluons. For that purpose, we have revisited the general structure of gluon self-energy tensor in the presence of a weak magnetic field in thermal medium and obtained the relevant structure functions. The structure functions give the real and imaginary parts of the resummed gluon propagator, which further give the respective dielectric permittivities. The real and imaginary parts of the dielectric permittivity will be used to evaluate the real and imaginary parts of the complex heavy quark potential. The real-part of the potential is found to be more screened, whereas the magnitude of the imaginary-part of the potential gets increased on increasing the value of both temperature and magnetic field. In addition to this, we have observed that the real-part gets slightly more screened while the imaginary part gets increased in the presence of a weak magnetic field as compared to their counterparts in the absence of a magnetic field. The increase in the screening of the real-part of the potential leads to the decrease of binding energies of $J/Ψ$ and $Υ$, whereas the increase in the magnitude of the imaginary part leads to the increase of thermal width with the temperature and magnetic field both. Also the binding energy and thermal width in the presence of weak magnetic field become smaller and larger, respectively, as compared to that in the pure thermal case. We have finally obtained the dissociation temperatures for $J/Ψ$ and $Υ$, which become slightly lower in the presence of weak magnetic field. This observation leads to the slightly early dissociation of quarkonia because of the presence of a weak magnetic field.