B(E2) Predictions for Even-Even Nuclei in the Differential Equation Model

TL;DR

This paper applies a differential equation model to predict B(E2) values for a broad range of even-even nuclei, enabling extrapolation across the nuclear landscape from known data.

Contribution

It introduces a differential equation-based approach that generates recursion relations for predicting B(E2) values across many nuclei, expanding predictive capabilities.

Findings

Successful predictions for a wide range of nuclei

Recursion relations connect neighboring nuclei for extrapolation

Model covers nuclei from Neon to Californium

Abstract

We use the recently developed Differential Equation Model for the reduced electric quadrupole transition probability B(E2) for predicting its values for a wide range of even-even nuclides almost throughout the nuclear landscape from Neon to Californium. This is made possible as the principal equation in the model, namely, the differential equation connecting the B(E2) value of a given nucleus with its derivatives with respect to neutron and proton numbers provides two different recursion relations, each connecting three different neighboring even-even nuclei from lower to higher mass numbers and vice-verse. These relations helped us to extrapolate from known to unknown terrain of the B(E2) landscape and thereby facilitate its predictions throughout.