Light-quark mass dependence of the $Λ(1405)$ resonance
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909220109025280 |
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| author | Ren, Xiu-Lei |
| author_facet | Ren, Xiu-Lei |
| contents | We present the light-quark mass dependence of the $Λ(1405)$ resonance at leading order in a renormalizable framework of covariant chiral effective field theory. The meson-baryon scattering amplitudes, which are obtained by solving the scattering equation within time-ordered perturbation theory, follow the quark mass trajectory of the Coordinated Lattice Simulations consortium. At $M_π\approx 200$ MeV and $M_K\approx 487$ MeV, our parameter-free prediction of $Λ(1405)$ poles is consistent with the recent lattice results of BaSc Collaboration [Phys. Rev. Lett. 132, 051901 (2024)]. Varying the pion mass from $135$ MeV to $400$ MeV, we present the evolution of double-pole positions of $Λ(1405)$: the higher pole remains a resonance around the $\bar{K}N$ threshold; whereas the lower pole undergoes a transition from resonance to a virtual state, and ultimately to a bound state of the $πΣ$ system, which could be verified by the forthcoming lattice QCD simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02720 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Light-quark mass dependence of the $Λ(1405)$ resonance Ren, Xiu-Lei High Energy Physics - Phenomenology Nuclear Theory We present the light-quark mass dependence of the $Λ(1405)$ resonance at leading order in a renormalizable framework of covariant chiral effective field theory. The meson-baryon scattering amplitudes, which are obtained by solving the scattering equation within time-ordered perturbation theory, follow the quark mass trajectory of the Coordinated Lattice Simulations consortium. At $M_π\approx 200$ MeV and $M_K\approx 487$ MeV, our parameter-free prediction of $Λ(1405)$ poles is consistent with the recent lattice results of BaSc Collaboration [Phys. Rev. Lett. 132, 051901 (2024)]. Varying the pion mass from $135$ MeV to $400$ MeV, we present the evolution of double-pole positions of $Λ(1405)$: the higher pole remains a resonance around the $\bar{K}N$ threshold; whereas the lower pole undergoes a transition from resonance to a virtual state, and ultimately to a bound state of the $πΣ$ system, which could be verified by the forthcoming lattice QCD simulations. |
| title | Light-quark mass dependence of the $Λ(1405)$ resonance |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2404.02720 |