论文标题
NJL模型中强磁场下的diquark和核子
Diquark and nucleons under strong magnetic fields in the NJL model
论文作者
论文摘要
我们研究了在两种味道Nambu-Jona-lasinio(NJL)模型的框架内存在均匀的强磁场的核子和diquarks的描述。使用随机相近似通过夸克环链重新召集diquark,而核子则使用夸克交换相互作用的静态近似值将核子视为用相对论fadeev方程描述的结合夸克式状态。对于带电的颗粒,使用RITUS本本特征方法进行分析计算,该方法正确考虑了由Schwinger相存在的翻译不变性分解。在此方案中,对于确定的模型参数化,我们获得了diquark和核子质量的数值预测,这些预测与手性扰动理论和晶格QCD结果进行了比较。另外,还获得了核子磁矩的数值估计。
We study the description of nucleons and diquarks in the presence of a uniform strong magnetic field within the framework of the two-flavor Nambu-Jona--Lasinio (NJL) model. Diquarks are constructed through the resummation of quark loop chains using the random phase approximation, while nucleons are treated as bound quark-diquark states described by a relativistic Fadeev equation, using the static approximation for quark exchange interactions. For charged particles, analytical calculations are performed using the Ritus eigenfunction method, which properly takes into account the breakdown of translation invariance that arises from the presence of Schwinger phases. Within this scheme, for definite model parametrizations we obtain numerical predictions for diquark and nucleon masses, which are compared with Chiral Perturbation Theory and Lattice QCD results. In addition, numerical estimations for nucleon magnetic moments are obtained.