Spontaneous fission half-lives of heavy and superheavy nuclei within a generalized liquid drop model

TL;DR

This paper presents a systematic calculation of spontaneous fission half-lives for heavy and superheavy nuclei using a generalized liquid drop model and semi-empirical methods, aligning well with experimental data and predicting long half-lives for unknown nuclei.

Contribution

It introduces a comprehensive approach combining macroscopic and microscopic effects within a generalized liquid drop model to predict fission half-lives.

Findings

Results agree well with experimental data.

Predicted long half-lives for many unknown nuclei.

Provides guidance for future experimental detection.

Abstract

We systematically calculate the spontaneous fission half-lives for heavy and superheavy nuclei between U and Fl isotopes. The spontaneous fission process is studied within the semi-empirical WKB approximation. The potential barrier is obtained using a generalized liquid drop model, taking into account the nuclear proximity, the mass asymmetry, the phenomenological pairing correction, and the microscopic shell correction. Macroscopic inertial-mass function has been employed for the calculation of the fission half-life. The results reproduce rather well the experimental data. Relatively long half-lives are predicted for many unknown nuclei, sufficient to detect them if synthesized in a laboratory.