论文标题
带有风味SU（3）对称破解的Baryon解剖的轴向矢量形式因素
Axial-vector form factors of the baryon decuplet with flavor SU(3) symmetry breaking
论文作者
论文摘要
在PION平均场进近中研究了Baryon解剖的轴向矢量形式因子和轴向矢量常数，该方法也称为手性夸克 - 索洛顿模型。给定具有指定风味的轴向矢量电流，解剖baryon有四个不同的构型。当我们考虑单线，三重态和八位位轴向矢量电流时，我们为BARYON解剖的每个成员都有十二个不同的形式。我们考虑了旋转$ 1/n_c $校正和风味su的效果（3）对称性破裂的旋转$ 1/n_c $校正，计算Baryon解剖的所有轴向矢量形式。我们发现，对于给定的口味，解剖Baryon的两个形式仅在当前方法中独立。我们首先检查$δ+$ isobar和$ω^ - $ hyperon的轴向矢量形式的属性。我们还将$δ+$的三重轴矢量形式的结果与晶格QCD的结果以及Baryon解剖的轴向矢量常数的结果与晶格数据进行了比较。然后介绍Baryon解剖其他成员的所有结果。将轴向电荷的结果与其他作品的结果进行了比较。还讨论了轴向肿块和轴向半径。
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.
