用复合强子模型研究磁化物质的Charmonia衰变宽度
Charmonia decay widths in magnetized matter using a model for composite hadrons
摘要：
利用夸克/反夸克复合强子的场论模型，研究了在磁场作用下，同位旋非对称核物质中粲偶素态到$D\bar D$的衰变宽度.这些部分衰变宽度的介质修改的出现是由于衰变的粲偶素状态和产生的$D$和$\bar D$介子在磁化强子物质中的质量的变化，计算手征有效模型。衰变宽度的计算使用轻夸克-反夸克对创建项的自由狄拉克哈密顿量的组成夸克场算符。本调查的结果进行了比较，在介质中的衰减宽度内得到的$^3P_0$模型。在$^3P_0$模型中，粲偶素的衰变宽度是通过在$^3P_0$态中产生轻夸克-反夸克对来计算的。在磁场的存在下，朗道能级的贡献引起带电$D$和$\bar D$介子的质量正移。与对称核物质中的中性$D\bar D$对相比，这导致粲偶素衰变为带电$D^+ D^-$被抑制，而在不对称核物质中，与$D^0 \bar {D^0}$对相比，$D^+D^-$对的较大质量下降导致带电开放粲介子对的产生与粲偶素衰变通道到$D^0 {\bar {D^0}}$相比被增强。
英文摘要：
The decay widths of the charmonium states to $D\bar D$ in isospin asymmetric nuclear matter in the presence of a magnetic field are studied, using a field theoretical model for composite hadrons with quark/antiquark constituents. The medium modifications of these partial decay widths arise due to the changes in the masses of the decaying charmonium state and the produced $D$ and $\bar D$ mesons in the magnetized hadronic matter, calculated within a chiral effective model. The decay widths are computed using the light quark--antiquark pair creation term of the free Dirac Hamiltonian in terms of the constituent quark field operators. The results of the present investigation are compared with the in-medium decay widths obtained within the $^3P_0$ model. Within the $^3P_0$ model, the charmonium decay widths are calculated using the creation of a light quark--antiquark pair in the $^3P_0$ state. In the presence of a magnetic field, the Landau level contributions give rise to positive shifts in the masses of the charged $D$ and $\bar D$ mesons. This leads to the decay of charmonium to the charged $D^+ D^-$ to be suppressed as compared to the neutral $D\bar D$ pair in symmetric nuclear matter, whereas in asymmetric nuclear matter, the larger mass drop of the $D^+D^-$ pair, as compared to the $D^0 \bar {D^0}$ pair leads to the production of charged open charm meson pairs to be enhanced as compared to the charmonium decay channel to $D^0 {\bar {D^0}}$.
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