A model of charmed baryon-nucleon potential and two- and three-body bound states with charmed baryon

作者:Maeda, Saori*; Oka, Makoto; Yokota, Akira; Hiyama, Emiko; Liu, Yan-Rui
来源:Progress of Theoretical and Experimental Physics, 2016, 2016(2): 023D02.
DOI:10.1093/ptep/ptv194

摘要

A potential model for the interaction between a charmed baryon (Lambda(c), Sigma(c), and Sigma(c)*) and the nucleon (N) is constructed. The model contains a long-range meson (pi and sigma) exchange part and a short-distance quark exchange part. The quark cluster model is used to evaluate the short-range repulsion and a monopole type form factor is introduced to the long-range potential to reflect the extended structure of hadrons. We determine the cutoff parameters in the form factors by fitting the NN scattering data with the same approach and we obtain four sets of parameters (a)-(d). The most attractive potential (d) leads to bound Lambda N-c states with J(pi) = 0(+) and 1(+) once the channel couplings among Lambda(c), Sigma(c), and Sigma(c)* are taken into account. One can also investigate many-body problems with the model. Here, we construct an effective Lambda N-c one-channel potential with the parameter set (d) and apply it to the three-body Lambda cNN system. The bound states with J = 1/2 and 3/2 are predicted.