arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1901.03058hep-phnucl-th
收藏

幺正耦合道近似下奇异度为零的赝标介子与重子八重态相互作用

The pseudoscalar meson and baryon octet interaction with strangeness zero in the unitary coupled-channel approximation

Bao-Xi Sun, Si-Yu Zhao, Xiang-Yu Wang

摘要:

在么正耦合沟道近似下,通过求解Bethe-Salpeter方程,研究了赝标介子与重子八重态的相互作用。在S波近似下,除了考虑Weinberg-Tomozawa项外,还考虑了$s-$和$u-$沟道势的贡献。在同位旋$I=1/2$和奇异$S=0$扇区中,通过分析散射振幅的行为,发现在质心坐标系下$\sqrt{s}$复能面上的合理区域内存在一个高于$ηN$阈值的极点,位于第三黎曼面上.因此,它可以被认为是一种共振态,并可能对应于粒子数据组(PDG)中的$N(1535)$粒子。计算了该共振态与$πN$、$ηN$、$K Λ$和$K Σ$通道的耦合常数,发现该共振态与隐藏的奇异通道有很强的耦合.显然,隐藏的奇异通道在奇异度为零的共振态的产生中起着重要的作用。赝标介子与重子八重态的相互作用在同位旋$I=3/2$和奇异度$S=0$的扇区内是排斥的,因此不能动态地产生共振态。

英文摘要:

The interaction of the pseudoscalar meson and the baryon octet is investigated by solving the Bethe-Salpeter equation in the unitary coupled-channel approximation, In addition to the Weinberg-Tomozawa term, the contribution of the $s-$ and $u-$ channel potentials in the S-wave approximation are taken into account. In the sector of isospin $I=1/2$ and strangeness $S=0$, a pole is detected in the reasonable region on the complex energy plane of $\sqrt{s}$ in the center of mass frame by analyzing the behavior of the scattering amplitude, which is higher than the $ηN$ threshold and lies on the third Riemann sheet. Thus it can be regarded as a resonance state and might correspond to the $N(1535)$ particle in the review of the Particle Data Group(PDG). The coupling constants of this resonance state to the $πN$, $ηN$, $K Λ$ and $K Σ$ channels are calculated, and it is found that this resonance state couples strongly to the hidden strange channels. Apparently, the hidden strange channels play an important role in the generation of the resonance state with strangeness zero. The interaction of the pseudoscalar meson and the baryon octet is repulsive in the sector of isospin $I=3/2$ and strangeness $S=0$, therefore, no resonance state can be generated dynamically.

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。

↑