Lattice QCD study of $πΣ-\bar{K}N$ scattering and the $Λ(1405)$ resonance
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| Main Authors: | , , , , , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866911214688272384 |
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| author | Bulava, John Cid-Mora, Bárbara Hanlon, Andrew D. Hörz, Ben Mohler, Daniel Morningstar, Colin Moscoso, Joseph Nicholson, Amy Romero-López, Fernando Skinner, Sarah Walker-Loud, André |
| author_facet | Bulava, John Cid-Mora, Bárbara Hanlon, Andrew D. Hörz, Ben Mohler, Daniel Morningstar, Colin Moscoso, Joseph Nicholson, Amy Romero-López, Fernando Skinner, Sarah Walker-Loud, André |
| contents | A lattice QCD computation of the coupled channel $πΣ-\bar{K}N$ scattering amplitudes in the $Λ(1405)$ region is detailed. Results are obtained using a single ensemble of gauge field configurations with $N_{\rm f} = 2+1$ dynamical quark flavors and $m_π \approx 200$ MeV and $m_K\approx487$ MeV. Hermitian correlation matrices using both single baryon and meson-baryon interpolating operators for a variety of different total momenta and irreducible representations are used. Several parametrizations of the two-channel scattering $K$-matrix are utilized to obtain the scattering amplitudes from the finite-volume spectrum. The amplitudes, continued to the complex energy plane, exhibit a virtual bound state below the $πΣ$ threshold and a resonance pole just below the $\bar{K}N$ threshold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_13471 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Lattice QCD study of $πΣ-\bar{K}N$ scattering and the $Λ(1405)$ resonance Bulava, John Cid-Mora, Bárbara Hanlon, Andrew D. Hörz, Ben Mohler, Daniel Morningstar, Colin Moscoso, Joseph Nicholson, Amy Romero-López, Fernando Skinner, Sarah Walker-Loud, André High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Experiment Nuclear Theory A lattice QCD computation of the coupled channel $πΣ-\bar{K}N$ scattering amplitudes in the $Λ(1405)$ region is detailed. Results are obtained using a single ensemble of gauge field configurations with $N_{\rm f} = 2+1$ dynamical quark flavors and $m_π \approx 200$ MeV and $m_K\approx487$ MeV. Hermitian correlation matrices using both single baryon and meson-baryon interpolating operators for a variety of different total momenta and irreducible representations are used. Several parametrizations of the two-channel scattering $K$-matrix are utilized to obtain the scattering amplitudes from the finite-volume spectrum. The amplitudes, continued to the complex energy plane, exhibit a virtual bound state below the $πΣ$ threshold and a resonance pole just below the $\bar{K}N$ threshold. |
| title | Lattice QCD study of $πΣ-\bar{K}N$ scattering and the $Λ(1405)$ resonance |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2307.13471 |