Influences from different fields of mesons and photons on the relativistic symmetry are reinvestigated with the similarity renormalization group method (SRG). The energy splittings of pseudospin doublet and spin doublet are extracted from the SRG calculations. From the point view of the SRG method, \(\omega \) field is revealed to exert great effect on the pseudsospin symmetry by nonrelativistic term, dynamical effect and spin–orbit interaction. Both nonrelativistic term and dynamical effect are also dominant in the influence of the \(\sigma \) field on the pseudsospin symmetry. With the increasing strength of the photon field, the evolution of nonrelativistic component provides the main contribution to the increase of the total pseudospin energy splitting. The nonrelativistic term play the major role in influencing the isospin asymmetry in the pseudospin symmetry. As for the \(\rho \) meson field, all three terms exert contrary influences on the pseudospin splitting between neutron doublet and proton doublet. The spin symmetry which is quasi-isospin symmetric is revealed to be due to the relativistic effect by spin–orbit term.

中文翻译：

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相似度归一化组研究不同领域的相对论对称性

利用相似度归一化群方法（SRG）重新研究了介子和光子不同领域对相对论对称性的影响。从SRG计算中提取伪自旋双峰和自旋双峰的能量分裂。从SRG方法的角度来看，揭示了\（\ omega \）场通过非相对论性术语，动力学效应和自旋-轨道相互作用对伪ospin对称性产生了巨大影响。非相对论项和动力效应在\（\ sigma \）的影响中也占主导地位pseudsospin对称性上的磁场。随着光子场强度的增加，非相对论分量的演化为总伪自旋能量分裂的增加做出了主要贡献。非相对论性术语在影响伪自旋对称性中的同位旋不对称中起主要作用。对于\（\ rho \）介子场，所有这三个项对中子双峰和质子双峰之间的假自旋分裂施加相反的影响。准异旋旋对称的自旋对称性是由于自旋轨道项的相对论效应引起的。