Ground state properties and potential energy surfaces of $^{270}$Hs from multidimensionally-constrained relativistic mean field model

TL;DR

This study uses a multidimensional relativistic mean-field model to analyze the ground state, shape, and fission properties of the superheavy nucleus $^{270}$Hs, revealing its deformation and fission barrier characteristics.

Contribution

It introduces a comprehensive analysis of $^{270}$Hs using multidimensional constraints, highlighting the effects of shape distortions on fission barriers and paths.

Findings

$^{270}$Hs is well deformed with deformed doubly magic features.

Reflection asymmetric and triaxial distortions significantly affect fission barriers.

Triaxial shapes lower the fission barrier, favoring symmetric fission paths.

Abstract

We study the ground state properties, potential energy curves and potential energy surfaces of the superheavy nucleus $^{270}$Hs by using the multidimensionally-constrained relativistic mean-field model with the effective interaction PC-PK1. The binding energy, size and shape as well as single particle shell structure corresponding to the ground state of this nucleus are obtained. $^{270}$Hs is well deformed and exhibits deformed doubly magic feature in the single neutron and proton level schemes. One-dimensional potential energy curves and two-dimensional potential energy surfaces are calculated for $^{270}$Hs with various spatial symmetries imposed. We investigate in detail the effects of the reflection asymmetric and triaxial distortions on the fission barrier and fission path of $^{270}$Hs. When the axial symmetry is imposed, the reflection symmetric and reflection asymmetric fission barriers both show a double-hump structure and the former is higher. However, when triaxial shapes are allowed the reflection symmetric barrier is lowered very much and then the reflection symmetric fission path becomes favorable.