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Register a new userNew effective interactions for hypernuclei in density dependent relativistic mean field model
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New effective $Lambda N$ interactions are proposed for the density dependent relativistic mean field model. The multidimensionally constrained relativistic mean field model is used to calculate ground state properties of eleven known $Lambda$ hypernuclei with $Age 12$ and the corresponding core nuclei. Based on effective $NN$ interactions DD-ME2 and PKDD, the ratios $R_sigma$ and $R_omega$ of scalar and vector coupling constants between $Lambda N$ and $NN$ interactions are determined by fitting calculated $Lambda$ separation energies to experimental values. We propose six new effective interactions for $Lambda$ hypernuclei: DD-ME2-Y1, DD-ME2-Y2, DD-ME2-Y3, PKDD-Y1, PKDD-Y2 and PKDD-Y3 with three ways of grouping and including these eleven hypernuclei in the fitting. It is found that the two ratios $R_sigma$ and $R_omega$ are correlated well and there holds a good linear relation between them. The statistical errors of the ratio parameters in these effective interactions are analyzed. These new effective interactions are used to study the equation of state of hypernuclear matter and neutron star properties with hyperons.
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A new parameter set is generated for finite and infinite nuclear system within the effective field theory motivated relativistic mean field (ERMF) formalism. The isovector part of the ERMF model employed in the present study includes the coupling of nucleons to the {delta} and r{ho} mesons and the cross-coupling of r{ho} mesons to the {sigma} and {omega} mesons. The results for the finite and infinite nuclear systems obtained using our parameter set are in harmony with the available experimental data. We find the maximum mass of the neutron star to be 2.03Modot? and yet a relatively smaller radius at the canonical mass, 12.69 km, as required by the available data.
We report the recent progress in relativistic mean-field (RMF) and beyond approaches for the low-energy structure of deformed hypernuclei. We show that the $Lambda$ hyperon with orbital angular momentum $ell=0$ (or $ell>1$) generally reduces (enhances) nuclear quadrupole collectivity. The beyond mean-field studies of hypernuclear low-lying states demonstrate that there is generally a large configuration mixing between the two components $[^{A-1}Z (I^+) otimes Lambda p_{1/2}]^J$ and $[^{A-1}Z (Ipm2 ^+) otimes Lambda p_{3/2}]^J$ in the hypernuclear $1/2^-_1, 3/2^-_1$ states. The mixing weight increases as the collective correlation of nuclear core becomes stronger. Finally, we show how the energies of hypernuclear low-lying states are sensitive to parameters in the effective $N Lambda $ interaction, the uncertainty of which has a large impact on the predicted maximal mass of neutron stars.
Deformed multi-$Lambda$ hypernuclei are studied within a relativistic mean-field model. In this paper, we take some $N=Z$ hyper isotope chains, i.e., $^{8+n}_{ nLambda}{rm Be}$, $^{20+n}_{ nLambda}{rm Ne}$, and $^{28+n}_{ nLambda}{rm Si}$ systems where $n = 2$, $4$ for Be, and $n = 2$, $8$ for Ne and Si. A sign of two-$^6_{2Lambda}$He cluster structure is observed in the two-body correlation in $^{12}_{4Lambda}$Be. In the Ne hyper isotopes, the deformation is slightly reduced by addition of $Lambda$ hyperons whereas it is significantly reduced or even disappears in the Si hyper isotopes.
We investigate an effective relativistic equation of state at finite values of temperature and baryon chemical potential with the inclusion of the full octet of baryons, the Delta-isobars and the lightest pseudoscalar and vector meson degrees of freedom. These last particles have been introduced within a phenomenological approach by taking into account of an effective chemical potential and mass depending on the self-consistent interaction between baryons. In this framework, we study of the hadron yield ratios measured in central heavy ion collisions over a broad energy range and present the beam energy dependence of underlying dynamic quantities like the net baryon density and the energy density.
New Relativistic mean field parameter set IOPB-I has been developed.
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