相对论SU(3)手性有效理论中的八重子和十重子自能

P. Copeland, C. Ji, W. Melnitchouk
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引用次数: 1

摘要

在相对论性手性有效理论框架下,计算了整组flavor SU(3)八重和十重重子的自能。推导了八重体和十重体质量的主要非解析手性行为,并应用了符合洛伦兹和规范不变性的有限范围正则化来解释重子的有限大小。利用四维偶极子形式因子,数值研究了各种介子-重子环对自能贡献的相对重要性作为偶极子范围参数和介子质量的函数,并在重重子极限内将相对论性结果与先前的近似结果进行了比较。
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Octet and decuplet baryon self-energies in relativistic SU(3) chiral effective theory
The self-energies of the full set of flavor SU(3) octet and decuplet baryons are computed within a relativistic chiral effective theory framework. The leading nonanalytic chiral behavior is derived for the octet and decuplet masses, and a finite-range regularization consistent with Lorentz and gauge invariance is applied to account for the finite size of the baryons. Using a four-dimensional dipole form factor, the relative importance of various meson-baryon loop contributions to the self-energies is studied numerically as a function of the dipole range parameter and meson mass, and comparison is made between the relativistic results and earlier approximations within the heavy baryon limit.
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