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arxiv: 0805.2334 · v3 · submitted 2008-05-15 · ✦ hep-ph · nucl-ex· nucl-th

Is there a pion-Lambda-nucleon bound state?

classification ✦ hep-ph nucl-exnucl-th
keywords boundlambda-nucleonpion-lambda-nucleonstatesbecomesbound-statechannelcharmed
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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.

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