The Investigations Of Properties Of Single Λ_c~+ Hypernuclei And Symmetry Energy Effect Within Quark Mean-field Model

The quark mean-field（QMF）model is applied to study the properties of s-ingleΛ_c⁺hypernuclei and the effect of symmetry energy on properties of nuclear many-body system.In QMF model,the baryon is composed of three constituent quarks,which are confined by central harmonic oscillator potentials.The strong interaction between baryons is described via meson exchange between quarks.Furthermore the effects ofπpion and gluon corrections on baryon mass are con-sidered.We firstly study the ground-state properties of singleΛ_c⁺hypernuclei,within the degree of freedom of charm quark.In QMF model,theΛ_c⁺hyperon is constituted by three constituent quarks,u,d,c.The strengthes of confinement potential for u and d quarks are determined by fitting the nucleon mass and radius in free space,and those for c quark are determined by fitting the experimental masses of free charmed baryons,Λ_c⁺,Σ_c⁺,andΞ_cc⁺⁺.The properties of singleΛ_c⁺hypernuclei are generated by theΛ_c⁺N potential,which depends on the coupling strength betweenωmeson andΛ_c⁺hyperon,g_ωΛc+,in the QMF model,since the scalar components ofΛ_c⁺N already are obtained from quark level.In the present work,two different schemes are adopted to determine g_ωΛc+because of the lack of relevant experimental data aboutΛ_c⁺N potential.When the naive quark counting rules are adopted,i.e.,g_ωΛc+=2/3gωN,the massive singleΛ_c⁺hypernuclei can be bond,whose binding energy decreases with mass number increasing due to the repulsive contribution of coulomb interaction betweenΛ_c⁺hyperons and protons.When the result from latest latticeΛ_c⁺N potential is applied to determine g_ωΛc+,there are only up to A<50 for singleΛ_c⁺hypernuclei existing.In addition,the cross coupling term ofωmeson andρmeson is introduced in the QMF model,by fitting the isoscalar ground-state properties of double magic nuclei and adjusting isovector coupling parameters about quark,hadron and meson.The parameters with different symmetry energy slope are obtained in order to investigate the ef-fect of symmetry energy on properties of nuclear many-body system.It is found that there is a strong correlation between the slope of symmetry energy and the neutron skin thickness of neutron-rich nuclei.The large symmetry energy slope can depress the neutron density distribution of nuclei.The binding energy of pure neutron nuclear matter is significantly affected by the symmetry energy s-lope.Furthermore,the maximum mass and corresponding radius of neutron star are less influenced by the symmetry energy slope,while the radius of medium mass neutron star are strongly dependent on the symmetry enenrgy slope.There is strongly linear correlation between the radius of 1.4M⊙neutron star and the symmetry energy slope,R1.4=11.80+0.02134L.In addition,a power correla-tion between tidal deformability and radius of 1.4M⊙neutron star is found as,Λ_1.4=9.21×10^-3×R_1.4^4.38.