Structure of the $\mathbf{Λ(1670)}$ resonance
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866913271177543680 |
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| author | Liu, Jiong-Jiong Liu, Zhan-Wei Chen, Kan Guo, Dan Leinweber, Derek B. Liu, Xiang Thomas, Anthony W. |
| author_facet | Liu, Jiong-Jiong Liu, Zhan-Wei Chen, Kan Guo, Dan Leinweber, Derek B. Liu, Xiang Thomas, Anthony W. |
| contents | We examine the internal structure of the $Λ(1670)$ through an analysis of lattice QCD simulations and experimental data within Hamiltonian effective field theory. Two scenarios are presented. The first describes the $Λ(1670)$ as a bare three-quark basis state, which mixes with the $πΣ$, $\bar{K}N$, $ηΛ$ and $KΞ$ meson-baryon channels. In the second scenario, the $Λ(1670)$ is dynamically generated from these isospin-0 coupled channels. The $K^-p$ scattering data and the pole structures of the $Λ(1405)$ and the $Λ(1670)$ can be simultaneously described well in both scenarios. However, a comparison of the finite-volume spectra to lattice QCD calculations reveals significant differences between these scenarios, with a clear preference for the first case. Thus the lattice QCD results play a crucial role in allowing us to distinguish between these two scenarios for the internal structure of the $Λ(1670)$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_13072 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Structure of the $\mathbf{Λ(1670)}$ resonance Liu, Jiong-Jiong Liu, Zhan-Wei Chen, Kan Guo, Dan Leinweber, Derek B. Liu, Xiang Thomas, Anthony W. High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory We examine the internal structure of the $Λ(1670)$ through an analysis of lattice QCD simulations and experimental data within Hamiltonian effective field theory. Two scenarios are presented. The first describes the $Λ(1670)$ as a bare three-quark basis state, which mixes with the $πΣ$, $\bar{K}N$, $ηΛ$ and $KΞ$ meson-baryon channels. In the second scenario, the $Λ(1670)$ is dynamically generated from these isospin-0 coupled channels. The $K^-p$ scattering data and the pole structures of the $Λ(1405)$ and the $Λ(1670)$ can be simultaneously described well in both scenarios. However, a comparison of the finite-volume spectra to lattice QCD calculations reveals significant differences between these scenarios, with a clear preference for the first case. Thus the lattice QCD results play a crucial role in allowing us to distinguish between these two scenarios for the internal structure of the $Λ(1670)$. |
| title | Structure of the $\mathbf{Λ(1670)}$ resonance |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2312.13072 |