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arXiv 0804.1210hep-ph
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从$N_c$的手征动力学行为看$Λ(1405)$和$Λ(1670)$的性质

On the nature of the $Λ(1405)$ and $Λ(1670)$ from their $N_c$ behavior in chiral dynamics

L. Roca, T. Hyodo, D. Jido

摘要:

我们研究的行为与颜色的数量($N_c$)的$Λ(1405)$和$Λ(1670)$共振内的手征酉方法动态获得。作为幺正化过程的核心,首阶介子-重子相互作用对重子味SU(3)表示具有非平凡的$N_c$依赖性。因此,$Λ(1405)$态的SU(3)单线态(或$\bar{K}N$)成分仍然束缚在大的$N_c$极限中,而其他成分溶解到连续谱中。引入SU(3)破缺,得到了物理$Λ(1405)$和$Λ(1670)$共振的激发能、质量和宽度对$N_c$的依赖关系.发现衰变宽度的$N_c$行为不同于$qqq$态的一般计数规则,表明这些共振的动力学起源。

英文摘要:

We study the behavior with the number of colors ($N_c$) of the $Λ(1405)$ and $Λ(1670)$ resonances obtained dynamically within the chiral unitary approach. The leading order meson-baryon interaction, used as the kernel of the unitarization procedure, manifests a nontrivial $N_c$ dependence of the flavor SU(3) representation for baryons. As a consequence, the SU(3) singlet (or $\bar{K}N$) component of the $Λ(1405)$ states remains bound in the large $N_c$ limit, while the other components dissolve into the continuum. Introducing explicit SU(3) breaking, we obtain the $N_c$ dependence of the excitation energy, masses and widths of the physical $Λ(1405)$ and $Λ(1670)$ resonance. The $N_c$ behavior of the decay width is found to be different from the general counting rule for a $qqq$ state, indicating the dynamical origin of these resonances.

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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