Study of spin polarized nuclear matter and finite nuclei with finite range simple effective interaction

Abstract

The properties of spin polarized pure neutron matter and symmetric nuclear matter are studied using the finite range simple effective interaction, upon its parametrization revisited. Out of the total twelve parameters involved, we now determine ten of them from nuclear matter, against the nine parameters in our earlier calculation, as required in order to have predictions in both spin polarized nuclear matter and finite nuclei in unique manner being free from uncertainty found using the earlier parametrization. The information on the effective mass splitting in polarized neutron matter of the microscopic calculations is used to constrain the one more parameter, that was earlier determined from finite nucleus, and in doing so the quality of the description of finite nuclei is not compromised. The interaction with the new set of parameters is used to study the possibilities of ferromagnetic and antiferromagnetic transitions in completely polarized symmetric nuclear matter. Emphasis is given to analyze the results analytically, as far as possible, to elucidate the role of the interaction parameters involved in the predictions.

Deformation properties with a finite-range simple effective interaction

“…These values agree quite well with the accepted experimental values [56]. The present work confirms, as suggested by our previous analysis in [1] and [2], the ability of the SEI to reproduce properties of different types of nuclear matter and, simultaneously, predict finite nuclei properties with similar quality to well-known effective interactions. At variance with other commonly used effective forces, such as Skyrme, Gogny or M3Y, ten of the twelve parameters of the SEI are determined using experimental/empirical constraints in nuclear matter as well as to reproduce the behavior predicted by microscopic calculations in symmetric nuclear matter and spin polarized neutron matter.…”

“…From the discussion in this subsection we can conclude that the quantal predictions for spherical nuclei reported in Refs. [1] and [2] by using the QLEDF including pairing correlations, treated with the improved BCS approach of Ref. [53], are in excellent agreement with the HFB results.…”

“…The formulation of nuclear matter and neutron matter using SEI has been discussed at length in Refs. [1,2], but for the sake of convenience of the reader we report in the Appendices A and B the expressions of the energy densities of asymmetric nuclear matter, spin polarized neutron matter and finite nuclei obtained with SEI given in equation (1). We shall now outline, in brief, the determination of the parameters involved in the study of nuclear and neutron matter.…”

“…To determine the x 0 parameter uniquely, we considered the particular case of spin polarized neutron matter. Its description requires to know how the strength parameters ε This consideration allows to determine x 0 in a unique way as [2],…”

“…In Refs. [1] and [2] we have used the QLEDF together with an improved BCS approach [53] to study the properties of finite nuclei. In Table 5 we report the binding energies and proton radii for the Sn isotopic chain from N = 50 to N = 82 computed in this way using the SEI with γ = 1/3 as well as the same quantities obtained using the HFB method with the same interaction.…”