-mesic nuclei in relativistic mean-field theoryC. Y. Song1, X. H. Zhong2, L. Li1 and P. Z. Ning1
1 Department of Physics, Nankai University - Tianjin 300071, China
2 Institute of High Energy Physics, Chinese Academy of Sciences - Beijing 100039, China
received 13 August 2007; accepted in final form 21 December 2007; published February 2008
published online 24 January 2008
With the -nucleon () interaction Lagrangian deduced from chiral perturbation theory, we study the possible -mesic nuclei in the framework of relativistic mean-field theory. The single-particle energies are sensitive to the scattering length, and increase monotonically with the nucleon number A. If the scattering length is in the range of = 0.75 - 1.05 fm and the imaginary potential V0 ~ 15 MeV, some discrete states of , and should be identified in experiments. However, when the scattering length < 0.5 fm, or the imaginary potential V0 > 30 MeV, no discrete -meson bound states could be observed in experiments.
21.10.Pc - Single-particle levels and strength functions.
21.30.Fe - Forces in hadronic systems and effective interactions.
© EPLA 2008