$\Delta v=2$ seniority changing transitions in yrast $3^-$ states and B(E3) systematics of Sn isotopes

TL;DR

This paper demonstrates that the generalized seniority scheme effectively explains the B(E3) transition systematics in Sn isotopes, supported by Large Scale Shell Model calculations, revealing the octupole nature of 3- states.

Contribution

It is the first to show that the generalized seniority scheme explains B(E3) systematics in Sn isotopes, supported by shell model calculations.

Findings

Generalized seniority scheme explains B(E3) systematics.

Supports octupole character of 3- states.

Shell model calculations corroborate the interpretation.

Abstract

We show for the first time that the generalized seniority scheme explains reasonably well the $B(E3)$ systematics for the $(0^+ \rightarrow 3_1^-)$ transitions in the Sn-isotopes, which are odd-tensor $E3$ transitions connecting different seniority states ($\Delta v = 2$). Additionally, we also present Large Scale Shell Model (LSSM) calculations to support our interpretation. The generalized seniority scheme points to the octupole character of these $3^-$ states in Sn isotopes.