Constraints on the $\Lambda$-neutron interaction from charge symmetry breaking in the $\mathbf{^4_\Lambda \rm \bf He}$--$\mathbf{^4_\Lambda \rm \bf H}$ hypernuclei
| Autor: | Haidenbauer, Johann, Meißner, Ulf-G., Nogga, Andreas |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00601-021-01684-3 |
| Popis: | We utilize the experimentally known difference of the $\Lambda$ separation energies of the mirror hypernuclei ${^4_\Lambda \rm He}$ and ${^4_\Lambda \rm H}$ to constrain the $\Lambda$-neutron interaction. We include the leading charge-symmetry breaking (CSB) interaction into our hyperon-nucleon interaction derived within chiral effective field theory at next-to-leading order. In particular, we determine the strength of the two arising CSB contact terms by a fit to the differences of the separation energies of these hypernuclei in the $0^+$ and $1^+$ states, respectively. By construction, the resulting interaction describes all low energy hyperon-nucleon scattering data, the hypertriton and the CSB in ${^4_\Lambda \rm He}$-${^4_\Lambda \rm H}$ accurately. This allows us to provide first predictions for the $\Lambda$n scattering lengths, based solely on available hypernuclear data. Comment: 19 pages, 2 figures, to be submitted to special issue of few-body systems "Celebrating 30 years of Steven Weinberg's papers on Nuclear Forces from Chiral Lagrangians" |
| Databáze: | arXiv |
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