Nuclear size, electric monopole transitions, and the location of $0^+_2$ states

TL;DR

This paper investigates nuclear size variations, electric monopole transitions, and the placement of $0^+_2$ states in calcium, argon, and titanium isotopes using the interacting boson model with configuration mixing, achieving good agreement with experimental data.

Contribution

It introduces a correlation between nuclear size and electric monopole transitions within the IBM framework, enhancing understanding of nuclear structure in these isotopes.

Findings

Good agreement with experimental isotope shifts, especially at $^{48}$Ca.

Established correlation between nuclear size and electric monopole transition strength.

Analyzed isotopic shifts in calcium, argon, and titanium isotopes.

Abstract

The work addresses the isotopic shift of nuclear radii for the even-even $^{36-52}$Ca isotopes using the interacting boson model (IBM) that includes the mixing from normal and intruder configurations. We obtain a good agreement between the calculated and experimental data, particularly for the dip at $^{48}$Ca. A direct correlation between nuclear size and electric monopole transitions is established to compute the electric monopole transition strengths, $\rho^2(E0)$. We further study the isotopic shift for the even-even $^{32-46}$Ar and $^{44-50}$Ti isotopes.