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arXiv 2005.06824hep-phhep-lat
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味SU(3)对称性破缺重子十重态的轴矢量形状因子

Axial-vector form factors of the baryon decuplet with flavor SU(3) symmetry breaking

Yu-Son Jun, Jung-Min Suh, Hyun-Chul Kim

摘要:

本文用π平均场方法研究了重子十重态的轴矢量形状因子和轴矢量常数,该方法也称为手征夸克孤子模型。给定一个具有特定味道的轴矢量流,十重态重子有四种不同的形状因子。当我们考虑单重态、三重态和八重态轴矢量流时,重子十重态的每个成员都有12种不同的形状因子。考虑转动$1/N_c$修正和味SU(3)对称性破缺的影响,我们计算了重子十重态的所有轴矢量形状因子。我们发现,对于一个给定的味道,一个十重态重子的形状因子中的两个在本方法中是独立的。我们首先研究了$Δ^+$等压子和$Ω^-$超子的轴矢量形状因子的性质。我们还比较了$Δ^+$的三重态轴矢量形状因子与格点量子色动力学的结果,以及我们用格点数据计算重子十重态轴矢量常数的结果。所有的结果,为其他成员的重子十重态。并将轴向装药的计算结果与其他文献的计算结果进行了比较。还讨论了轴向质量和轴向半径。

英文摘要:

The axial-vector form factors and axial-vector constants of the baryon decuplet are investigated within a pion mean-field approach, which is also known as the chiral quark-soliton model. Given an axial-vector current with a specified flavor, there are four different form factors of a decuplet baryon. When we consider the singlet, triplet, and octet axial-vector currents, we have twelve different form factors for each member of the baryon decuplet. We compute all these axial-vector form factors of the baryon decuplet, taking into account the rotational $1/N_c$ corrections and effects of flavor SU(3) symmetry breaking. We find that, for a given flavor, two of the form factors for a decuplet baryon are only independent within the present approach. We first examine properties of the axial-vector form factors of the $Δ^+$ isobar and $Ω^-$ hyperon. We also compare the results of the triplet axial-vector form factors of $Δ^+$ with those from lattice QCD and those of the present work for the axial-vector constants of the baryon decuplet with the lattice data. All the results for other members of the baryon decuplet are then presented. The results of the axial charges are compared with those of other works. The axial masses and axial radii are also discussed.

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