论文标题

八位位轴轴向矢量和伪尺度形式的接触相互作用分析

Contact interaction analysis of octet baryon axialvector and pseudoscalar form factors

论文作者

Cheng, Peng, Serna, Fernando E., Yao, Zhao-Qian, Chen, Chen, Cui, Zhu-Fang, Roberts, Craig D.

论文摘要

Octet baryon axial, induced pseudoscalar, and pseudoscalar form factors are computed using a symmetry-preserving treatment of a vector$\,\times\,$vector contact interaction (SCI), thereby unifying them with an array of other baryon properties and analogous treatments of semileptonic decays of pseudoscalar mesons.重子被视为夸克 - 加上 - 互动式绑定的状态,其结构是通过求解庞加莱式的faddeev方程而获得的。该方法以代数简单性为特征,不涉及自由参数,并且由于保存是对称性的,因此轴向电流的部分保存的所有后果都是显现的。发现SCI结果与SU $(3)$ - 风味对称性的小小违规是一致的,这可以理解为新兴强生质量的动态结果。庞加莱 - 融合的巴属波函数的自旋燃烧结构在存在的情况下表达了flavour-antitriplet标量diquarks和flavour-sextet axialvector diquarks,并且在确定所有形式因素方面起着关键作用。考虑到中性轴向电流,SCI预测八位位轴轴向电荷的风味分离,并从中获得相关的SU $(3)$ SINGLET,TRIPLET和OCTAT轴向电荷的值。结果表明,在强子量表上,$ζ_ {\ cal H} $,自由度学位约有八位位baryon总旋转的大约50%。由于在$ζ_ {\ cal H} $上没有其他自由度,其余的可能与Quark+Diquark轨道角动量相关联。

Octet baryon axial, induced pseudoscalar, and pseudoscalar form factors are computed using a symmetry-preserving treatment of a vector$\,\times\,$vector contact interaction (SCI), thereby unifying them with an array of other baryon properties and analogous treatments of semileptonic decays of pseudoscalar mesons. The baryons are treated as quark--plus--interacting-diquark bound states, whose structure is obtained by solving a Poincaré-covariant Faddeev equation. The approach is marked by algebraic simplicity, involves no free parameters, and since it is symmetry preserving, all consequences of partial conservation of the axial current are manifest. It is found that SCI results are consistent with only small violations of SU$(3)$-flavour symmetry, an outcome which may be understood as a dynamical consequence of emergent hadron mass. The spin-flavour structure of the Poincaré-covariant baryon wave functions is expressed in the presence of both flavour-antitriplet scalar diquarks and flavour-sextet axialvector diquarks and plays a key role in determining all form factors. Considering neutral axial currents, SCI predictions for the flavour separation of octet baryon axial charges and, therefrom, values for the associated SU$(3)$ singlet, triplet, and octet axial charges are obtained. The results indicate that at the hadron scale, $ζ_{\cal H}$, valence degrees-of-freedom carry roughly 50% of an octet baryon's total spin. Since there are no other degrees-of-freedom at $ζ_{\cal H}$, the remainder may be associated with quark+diquark orbital angular momentum.

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