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相对论手征夸克模型中自能的收敛:激发核子和$Δ$扇区

Convergence of the self-energy in a relativistic chiral quark model: excited Nucleon and $Δ$ sector

E. M. Tursunov

摘要:

在相对论手征夸克模型的框架下,给出了由π介子和胶子场位形诱导的1S,2S,$1P_{1/2}$,$1P_{3/2}$轨道上的价夸克自能的收敛.结果表明,为了达到收敛,需要包括总动量达到$j=25/2$的中间夸克和反夸克态的贡献。有人认为,限制最低模式时估计的自能是不好的近似。

英文摘要:

A convergence of the valence quark self-energies in the 1S, 2S, $1P_{1/2}$, $1P_{3/2}$ orbits induced by pion and gluon field configurations, is shown in the frame of a relativistic chiral quark model. It is shown that in order to reach a convergence, one needs to include contribution of the intermediate quark and anti-quark states with the total momentum up to $j=25/2$. It is argued that a restriction to the lowest mode when estimating the self-energy is not good approximation.

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