Single-Lambda(+)(c) hypernuclei within a quark mean-field model

The quark mean-field (QMF) model is applied to study the single-At hypernuclei. The charm baryon Lambda(+)(c) is constructed by three constituent quarks, u, d, and c, confined by central harmonic oscillator potentials. The confinement potential strength of charm quark is determined by fitting the experimental masses of charm baryons, Lambda(+)(c) Sigma(c), and Sigma(++)(cc). The effects of pions and gluons are also considered to describe the baryons at the quark level. The baryons in Lambda(+)(c) hypernuclei interact with each other through exchanging the sigma, omega, and rho mesons between the quarks confined in different baryons. The Lambda N-+(c) potential in the QMF model is strongly dependent on the coupling constant between omega meson and Lambda(+)(c) g(omega)Lambda(+)(c). When the conventional quark counting rule is used, i.e., g(omega)Lambda(+)(c) = 2/3g(omega N), the massive Lambda(+)(c) hypernucleus can exist, whose single-At binding energy is smaller with co, the mass number increasing because of the strong Coulomb repulsion between Lambda(+)(c) and protons. When g(omega)Lambda(+)(c) is fixed by the latest lattice Lambda N-+(c) potential, the Lambda(+)(c) hypernuclei only can exist up to A approximate to 50.