A Lattice QCD study of $p-Λ$ scattering in continuum and chiral limits
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
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2026
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| _version_ | 1866915839116050432 |
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| author | Liu, Hang Liu, Liuming Tan, Jin-Xin Wang, Wei Yan, Haobo Zhu, Qian-Teng |
| author_facet | Liu, Hang Liu, Liuming Tan, Jin-Xin Wang, Wei Yan, Haobo Zhu, Qian-Teng |
| contents | We present a first systematic study of $I=1/2$ proton-$Λ$ ($p$-$Λ$) scattering from lattice QCD, using seven sets of $(2+1)$-flavor lattice ensembles with pion masses spanning 135-317 MeV and three lattice spacings with $a=(0.052,0.077, 0.105)$ fm. Using Lüscher's finite-volume method, effective range expansion and chiral/continuum extrapolations, we obtain the inverse of scattering length and effective range for the $^1S_0$ channel as 0.177(83) GeV and 2.9(1.4) fm, and for the $^3S_1$ channel as 0.016(76) GeV and 1.8(1.1) fm. From the derived S-wave phase shifts, we provide an estimate of the $p-Λ$ scattering cross section. Our results for scattering length, effective range and cross sections are in good agreement with available experimental measurements. We also find that the $p-Λ$ system sustains attractive interactions. These results provide critical input for the unification of nuclear force theories and the construction of neutron star equations of state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05854 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Lattice QCD study of $p-Λ$ scattering in continuum and chiral limits Liu, Hang Liu, Liuming Tan, Jin-Xin Wang, Wei Yan, Haobo Zhu, Qian-Teng High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Experiment Nuclear Theory We present a first systematic study of $I=1/2$ proton-$Λ$ ($p$-$Λ$) scattering from lattice QCD, using seven sets of $(2+1)$-flavor lattice ensembles with pion masses spanning 135-317 MeV and three lattice spacings with $a=(0.052,0.077, 0.105)$ fm. Using Lüscher's finite-volume method, effective range expansion and chiral/continuum extrapolations, we obtain the inverse of scattering length and effective range for the $^1S_0$ channel as 0.177(83) GeV and 2.9(1.4) fm, and for the $^3S_1$ channel as 0.016(76) GeV and 1.8(1.1) fm. From the derived S-wave phase shifts, we provide an estimate of the $p-Λ$ scattering cross section. Our results for scattering length, effective range and cross sections are in good agreement with available experimental measurements. We also find that the $p-Λ$ system sustains attractive interactions. These results provide critical input for the unification of nuclear force theories and the construction of neutron star equations of state. |
| title | A Lattice QCD study of $p-Λ$ scattering in continuum and chiral limits |
| topic | High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2603.05854 |