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A new N ∗ resonance as a hadronic molecular state

By Daisuke Jido

Abstract

Abstract We report our recent work on a hadronic molecule state of the K ¯ KN system with I = 1/2 and J P = 1/2 +. We assume that the Λ(1405) resonance and the scalar mesons, f0(980), a0(980), are reproduced as quasi-bound states of ¯ KN and K ¯ K, respectively. Performing non-relativistic three-body calculations with a variational method for this system, we find a quasibound state of the K ¯ KN system around 1910 MeV below the three-body breakup threshold. This state corresponds to a new baryon resonance of N ∗ with J P = 1/2 +. We find also that this resonance has the cluster structure of the two-body bound states keeping their properties as in the isolated two-particle systems. We also briefly discuss another hadronic molecular state composed by two ¯ K and one N, which corresponds to a Ξ ∗ resonance. Key words three-body bound state, Λ(1405) resonance, kaon-nucleon interaction, variational calculation PACS 14.20.Gk, 13.75.Jz, 13.30.Eg, 21.45.-v

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