Neck configuration of Cm and Cf nuclei in the fission state within relativistic mean field formalism

TL;DR

This study investigates the relationship between neutron multiplicity and neutron number in fissioning Cm and Cf isotopes using relativistic mean field theory, providing insights into nuclear structure relevant for superheavy element synthesis.

Contribution

It introduces a microscopic approach to analyze neck configurations and neutron-proton asymmetry in fissioning Cm and Cf nuclei within the relativistic mean field framework.

Findings

Maximum neutron to proton density ratio of about 1.6 in certain isotopes.

Strong dependence of neutron-proton asymmetry on neutron multiplicity.

Estimation of static fission path and neck composition in fissioning nuclei.

Abstract

A correlation is established between the neutron multiplicity and the neutrons number in the fission state of Curium and Californium isotopes within a microscopic study using relativistic mean field formalism. The study includes the isotopes of Cm and Cf nuclei near the valley of stability, and hence is likely to play an important role in the artificial synthesis of superheavy nuclei. The static fission path, the neutron$-$proton asymmetry, the evolution of the neck and their composition in terms of nucleon numbers are also estimated. We find a maximum ratio for average neutron to proton density, which is about $1.6$ in the breakdown of the liquid$-$drop picture for $^{248}$Cm and $^{252}$Cf. A strong dependence of the neutron$-$proton asymmetry on the neutron multiplicity in an isotopic chain is also observed.