arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2109.09058hep-phnucl-th
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介子和重子:宇称伙伴

Mesons and Baryons: Parity Partners

L. X. Gutiérrez-Guerrero, G. Paredes-Torres, A. Bashir

摘要:

计算了含$u,d,s,c$和$b$夸克的轻、重介子和负宇称重子的质量。这是我们以前研究正宇称重子的工作的推广。我们采用重子的夸克-双夸克图象,其中双夸克是非点状的,具有有限的空间扩展。这种分析的数学基础是通过一个矢量-矢量接触相互作用,它保留了量子色动力学的关键特征,如禁闭,手征对称性破缺,轴向矢量Ward-Takahashi恒等式和低能量Goldberger-Treiman关系,保持Schwinger-Dyson方程处理。这种处理同时描述介子,并提供有吸引力的关联双夸克的$\overline{3}$表示。利用这个模型,我们计算了所有自旋为1/2和自旋为3/2的负宇称重子的能谱和质量,补充了我们先前对包含1、2或3个重夸克的正宇称重子的估计。在此过程中,我们计算了大量介子和相应的双夸克的质量。只要有可能,我们的结果与已知的实验观测以及理论预测的几个模型和方法,包括晶格量子色动力学的比较,找到令人满意的协议。我们还对实验中尚未观察到的较重态进行了预测。

英文摘要:

We calculate masses of light and heavy mesons as well as baryons of negative parity containing $u,d,s,c$ and $b$ quarks. It is an extension of our previous work where we had studied the positive parity baryons. We adopt a quark-diquark picture of baryons where the diquarks are non-pointlike with a finite spatial extension. The mathematical foundation for this analysis is implemented through a symmetry-preserving Schwinger-Dyson equations treatment of a vector-vector contact interaction, which preserves key features of quantum chromodynamics, such as confinement, chiral symmetry breaking, axial vector Ward-Takahashi identity and low-energy Goldberger-Treiman relations. This treatment simultaneously describes mesons and provides attractive correlations for diquarks in the $\overline{3}$ representation. Employing this model, we compute the spectrum and masses of all spin-1/2 and spin-3/2 baryons of negative parity, supplementing our earlier evaluation of positive parity baryons, containing 1, 2 or 3 heavy quarks. In the process, we calculate masses of a multitude of mesons and corresponding diquarks. Wherever possible, we make comparisons of our results with known experimental observations as well as theoretical predictions of several models and approaches including lattice quantum chromodynamics, finding satisfactory agreement. We also make predictions for heavier states not yet observed in the experiment.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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