基于SU(3)对称性的27重态研究

Research of SU(3) 27-plet

奇特重子属于味SU(3)的高维表示,可以通过研究与其属于同一多重态的非奇特伴子来了解其性质．本文研究了PDG粒子数据表中可能的27重态．通过经典SU(3)方法所采用的质量拟合和两体强衰变部分宽度的计算预言出具有不同宇称的两套27重态．质量谱的拟合预言了新的非奇特态Λ(1780),其他非奇特伴子都能在PDG中找到候选者；衰变宽度的计算结果表明存在近似味SU(3)对称性．进一步分析和对比其他理论模型的研究结果可以支持27重态指定的合理性．

Exotics belong to high multiplet of SU（3）, so one can understand them by researching their non-exotic partners in the same multiplet. Here the possible 27-plet from flavor SU（3） symmetry are investigated. By fitting the mass spectrum and calculating the two-body partial hadronic decay widths of members, two set of 27-plet baryons with different parities are found. For the mass spectrum, all non-exotic members have their candidates in PDG except for a new A（1780）. For the decay widths, the computing results show the approximate flavor SU（3） symmetry. The further analyzing and comparing with the results from other theoretical models can support the rationality of the 27-plet assignment.