Ratio B(E2, 4\rightarrow2)/B(E2, 2\rightarrow 0) in Even-Even Nuclei:Apparent Anomalous Behavior of the Chromium Isotopes

TL;DR

This paper investigates the ratio of B(E2) transition probabilities in even-even nuclei, revealing an unexpected anomaly in chromium isotopes where the empirical ratio is less than one, contrary to theoretical models.

Contribution

It highlights an apparent discrepancy between theoretical predictions and experimental data for the RE4 ratio in chromium isotopes.

Findings

RE4 ratio is less than one for ^{48}Cr and ^{50}Cr

Theoretical models predict RE4 > 1 for these nuclei

Empirical data contradicts standard models' expectations

Abstract

We consider the ratio RE4 = B(E2,4\rightarrow2)/B(E2,2\rightarrow 0) for the lowest 2^{+} and 4^{+} states in even-even nuclei. In the rotatonal and vibrational models and the shell model calculations here considered, RE4 is greater than one, however empirically, using adopted values from NNDC for ^{48}Cr and ^{50} Cr this ratio is less than one.