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This is a Quantitative Study study (also classified as: Experimental Study).

October 20, 2025Open Access

Quadrupole Strength in Isobaric Triplets

BBB. C. BackesUniversity of York JDJ. DobaczewskiYork University DMD. MuirUniversity of York

Key Points

Calculations of B(E2: 2+ → 0+) rates show strong dependence on isospin projection near the N=Z line.
Using nuclear density functional theory, angular momentum projection was applied to determine rates for even-even T=1 nuclei.
The study's results imply significant collective effects, aiding the understanding of isobaric analog states in nuclear physics.
Determining B(E2) values for odd-odd T_z=0 nuclei contributes to the overall analysis of isospin symmetry.

Abstract

The dependence of the E2 matrix elements on isospin projection Tᵦ is linked to the conservation of the isospin symmetry. To study this conjecture, we calculated the B (E2: 2^+ 0^+) rates for the even-even T=1 mirror nuclei with 42 A 98 within nuclear density functional theory, employing the generalized Bohr Hamiltonian, and carrying out angular momentum projection. We demonstrated that collective effects are crucial for describing experimental data near the N=Z line without invoking explicit beyond-Coulomb isospin symmetry-breaking corrections. We also determined the B (E2) values for odd-odd Tᵦ=0 nuclei ^70Br and ^78Y in doubly-blocked configurations. We discussed the requirements for accurately describing isobaric analog states and emphasized how current theoretical results should be interpreted within the study of isospin symmetry across isospin triplets.

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