English

Is there a pion-Lambda-nucleon bound state?

High Energy Physics - Phenomenology 2008-12-18 v3 Nuclear Experiment Nuclear Theory

Abstract

We have searched for bound states in the pion-Lambda-nucleon system by solving the nonrelativistic Faddeev equations, as well as a relativistic version, with input separable pion-nucleon, pion-Lambda, and Lambda-nucleon interactions. A bound-state solution, driven by the Delta(1232) and Sigma(1385) p-wave meson-baryon resonances, was found in the channel (I,JP)=(3/2,2+), provided the Lambda lab momentum at which the Lambda-nucleon S=1,L=0,J=1 phase shift becomes negative is larger than about 750-800 MeV/c. Other strange and charmed pion-baryon-baryon systems that might have bound states of a similar nature are listed.

Keywords

Cite

@article{arxiv.0805.2334,
  title  = {Is there a pion-Lambda-nucleon bound state?},
  author = {Avraham Gal and Humberto Garcilazo},
  journal= {arXiv preprint arXiv:0805.2334},
  year   = {2008}
}

Comments

version matching PRD publication, typos and references corrected

R2 v1 2026-06-21T10:41:04.926Z