Shape phase transitions and isotopic shift in barium isotopes within covariant density functional theory

Abstract

A systematic search of the shape phase transitions and isotopic shift of the neutron-rich barium (Ba; [Formula: see text]) isotopes, as a candidate for transitional nuclei, is done within the covariant density functional theory (CDFT). The relativistic Hartree–Bogoliubov (RHB) formalism with separable pairing and relativistic mean-field (RMF) with BCS pairing are used. The constraint calculations assuming the axial symmetry as well as triaxial symmetry clearly manifest the shape coexistence and the transitional behavior in these nuclei. A strong shell closure is observed at [Formula: see text] and weaker shell/subshell closure is observed at [Formula: see text]. Shape transition below and above the shell closure location at [Formula: see text] (from prolate to spherical to prolate) is there. The candidates for [Formula: see text] and [Formula: see text] dynamical symmetries are found to be [Formula: see text]Ba, [Formula: see text]Ba and [Formula: see text]Ba, [Formula: see text]Ba nuclei, respectively. The calculated results are compared with the available experimental data and are in good agreement. We have investigated the model dependence as well as dependence on various model parameters. A comparison is made with other theoretical models: infinite nuclear matter (INM) model, macro–microscopic finite-range droplet model (FRDM) and the self-consistent Hartree–Fock–Bogoliubov (HFB) model. Overall good agreement is found within the different models used and between the calculated and experimental results.

Microscopic study of shape evolution and ground-state properties of Iodine isotopes

“…Kris Heyde and John L. Wood executed a detailed review of the unified description of shape coexistence in [61]. The theoretical studies of two and three shapes coexistence are in [62][63][64]. The shape can be classified as oblate, spherical, and prolate for negative, zero, and positive values of β 2 .…”

A search for neutron magicity in the isotopic series of Z = 122, 128 superheavy nuclei

“…It has already been mentioned that we have used relativistic self-consistent mean-field models with density-dependent DD-ME2 [9] and DD-PC1 [10] parameters. The earlier studies using this standard model are very successful and provide an excellent prediction for ground state and excited state properties of different isotopes [9,10,18,[20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. The constrained calculations are achieved by imposing constraints on the axial mass quadrupole moment.…”