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000902548 1001_ $$0P:(DE-Juel1)131179$$aHaidenbauer, Johann$$b0$$eCorresponding author$$ufzj
000902548 245__ $$aConstraints on the $\varLambda $-neutron Interaction from Charge Symmetry Breaking in the $\mathbf {^4_\Lambda \mathrm{He}}$ - $\mathbf {^4_\Lambda \mathrm{H}}$ Hypernuclei
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000902548 520__ $$aWe utilize the experimentally known difference of the Λ separation energies of the mirror hypernuclei 4ΛHe and 4ΛH to constrain the Λ-neutron interaction. We include the leading charge-symmetry breaking (CSB) interaction into our hyperon-nucleon interaction derived within chiral effective field theory at next-to-leading order. In particular, we determine the strength of the two arising CSB contact terms by a fit to the differences of the separation energies of these hypernuclei in the 0+ and 1+ states, respectively. By construction, the resulting interaction describes all low energy hyperon-nucleon scattering data, the hypertriton and the CSB in 4ΛHe-4ΛH accurately. This allows us to provide first predictions for the Λn scattering lengths, based solely on available hypernuclear data.
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000902548 7001_ $$0P:(DE-Juel1)131252$$aMeißner, Ulf-G.$$b1$$ufzj
000902548 7001_ $$0P:(DE-Juel1)131273$$aNogga, Andreas$$b2
000902548 773__ $$0PERI:(DE-600)1459107-8$$a10.1007/s00601-021-01684-3$$gVol. 62, no. 4, p. 105$$n4$$p105$$tFew-body systems$$v62$$x0177-7963$$y2021
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