A Λnnthree-body resonance

Abstract

Abstract.We solved the Faddeev equations in the Λnn system (J π = 1 2There is no bound state but found a resonance state. Complex Energy Method helps to find the location of the resonance energy in the complex Riemann sheet. We obtained a resonance energy E = 0.25 − 0.40i MeV using the realistic NN and YN Nijmegen potential. As a preliminary result the recent Nijmegen YN potential (NSC97f) gives 0.60± 0.05 -(0.25 ± 0.05)i MeV. We discuss importance of an irreducible three-body force to make it bound.

Three-body hypernuclei in pionless effective field theory

“…Most of these studies reject the existence of such a bound state due to constraints from other nuclear and hypernuclear observables [27][28][29][30][31]. A resonance above the three-body threshold was also considered as a possible explanation [32][33][34]. The only pionless EFT investigation by Ando et al precluded a definitive conclusion [14].…”

Constraints on the $$\varLambda $$-Neutron Interaction from Charge Symmetry Breaking in the $$\mathbf {^4_\Lambda \mathrm{He}}$$ - $$\mathbf {^4_\Lambda \mathrm{H}}$$ Hypernuclei

“…The required CSB implies a significantly stronger Λn interaction in the 1 S 0 partial wave and the pertinent scattering length of our NLO potentials [20,21] increases from −2.9 fm to around a Λn s = −3.2 fm. Therefore, it is worthwhile to explore in how far this has consequences for the possible existence of Λnn resonances [49][50][51][52][53][54][55][56][57][58][59]. It will be also interesting to utilize the CSB forces established in the present work in calculations of p-shell hypernuclei.…”

A Possible Observation of Sigma-nn Continuum Structures and A Bound Sigma-NN State Using the (e, e 'K+) Reaction

“…Several theoretical studies [38][39][40] were carried out to investigate the existence of the three body Λnn resonance. For the study in [40], the authors used the pairwise interactions of rank one, that is, they separated the three body Λnn potential into two body nn and Λn interactions.…”