Nuclear superfluidity for antimagnetic rotation in $^{105}$Cd and $^{106}$Cd

TL;DR

This paper investigates how nuclear superfluidity influences antimagnetic rotation bands in $^{105}$Cd and $^{106}$Cd, using a cranked shell model with pairing correlations, successfully reproducing experimental data and revealing the superfluidity's critical role.

Contribution

It introduces a particle-number conserving method within the cranked shell model to accurately account for pairing correlations in studying antimagnetic rotation.

Findings

Nuclear superfluidity is essential for reproducing moments of inertia.

The two-shears-like mechanism depends sensitively on superfluidity.

Experimental moments of inertia and $B(E2)$ values are well reproduced.

Abstract

The effect of nuclear superfluidity on antimagnetic rotation bands in $^{105}$Cd and $^{106}$Cd are investigated by the cranked shell model with the pairing correlations and the blocking effects treated by a particle-number conserving method. The experimental moments of inertia and the reduced $B(E2)$ transition values are excellently reproduced. The nuclear superfluidity is essential to reproduce the experimental moments of inertia. The two-shears-like mechanism for the antimagnetic rotation is investigated by examining the shears angle, i.e., the closing of the two proton hole angular momenta, and its sensitive dependence on the nuclear superfluidity is revealed.