arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1005.0956hep-ph
收藏

低激发态偶宇称介子共振态和自旋味对称性

Low-lying even parity meson resonances and spin-flavor symmetry

C. Garcia-Recio, L. S. Geng, J. Nieves, L. L. Salcedo

摘要:

本文研究了$s-$波中涉及$ρ-$九重态和$π-$八重态的介子-介子相互作用。出发点是SU(3)味Weinberg-Tomozawa拉格朗日量的SU(6)自旋味扩展。SU(6)对称性破缺项被用来解释物理介子质量和衰变常数,同时保持轻赝标扇区轴流的部分守恒。其次,通过求解耦合通道中的Bethe Salpeter方程来获得$T-$矩阵振幅,其中核由上述相互作用构建。在振幅的第一和第二Riemann表上发现的极点与它们可能的粒子数据组(PDG)对应物相识别。计算结果表明,大多数低位偶宇称PDG介子共振,特别是在$J^P=0^+$和$1^+$扇区中,可以根据自旋味对称群SU(6)的多重态进行分类. $f_0(1500)$、$f_1(1420)$和一些$0^+(2^{++})$共振不能被SU(6)方案所容纳,因此它们将是胶球或杂化物的明确候选者。最后,我们预测了质量在1.4- 1.6 GeV范围内的五个奇异共振态($I \ge 3/2$和/或$|Y|=2$)的存在,它们将完成SU(3)$\otimes$ SU(2)的$27_1$、$10_3$和$10_3^*$多重态。

英文摘要:

A study is presented of the $s-$wave meson-meson interactions involving members of the $ρ-$nonet and of the $π-$octet. The starting point is an SU(6) spin-flavor extension of the SU(3) flavor Weinberg-Tomozawa Lagrangian. SU(6) symmetry breaking terms are then included to account for the physical meson masses and decay constants, while preserving partial conservation of the axial current in the light pseudoscalar sector. Next, the $T-$matrix amplitudes are obtained by solving the Bethe Salpeter equation in coupled-channel with the kernel built from the above interactions. The poles found on the first and second Riemann sheets of the amplitudes are identified with their possible Particle Data Group (PDG) counterparts. It is shown that most of the low-lying even parity PDG meson resonances, specially in the $J^P=0^+$ and $1^+$ sectors, can be classified according to multiplets of the spin-flavor symmetry group SU(6). The $f_0(1500)$, $f_1(1420)$ and some $0^+(2^{++})$ resonances cannot be accommodated within this SU(6) scheme and thus they would be clear candidates to be glueballs or hybrids. Finally, we predict the existence of five exotic resonances ($I \ge 3/2$ and/or $|Y|=2$) with masses in the range 1.4--1.6 GeV, which would complete the $27_1$, $10_3$, and $10_3^*$ multiplets of SU(3)$\otimes$SU(2).

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。

↑