Bound states of , , , , , and <i>ϕ</i> mesons with light and heavy nuclei within the chiral <i>SU</i>(3) model

Abstract In this study, we explore the possibilities of the formation of bound states of neutral pseudoscalar mesons , , and and the vector meson ϕ , with the nuclei , , , and , calculating their binding energy and absorption decay width. To calculate the optical potentials of these mesons in different nuclei under study, we use the chiral (3) hadronic mean field model, in which the properties of nucleons in the medium are modified through the scalar isoscalar fields σ and ζ and scalar-isovector field δ . The scalar-isovector field δ accounts for the finite isospin asymmetry of different nuclei having asymmetry in the number of protons and neutrons. The binding energy and absorption decay width of mesons are calculated for the ground state and some possible excited states of the nuclei. In the chiral (3) model, the mesons , , and are observed to have a significant negative mass shift up to nuclear saturation density, which leads to the possibility of bound states at least for ground states and some excited states for heavy nuclei. For the pseudoscalar singlet and vector meson ϕ , the mass shift obtained are found to be small, and bound states are not formed. The present calculations are compared with those of different studies conducted in the field and are useful in understanding the outcomes from different experimental facilities focusing on this area of research.