2020/10/31 by P. Baczyk, P. Bączyk, W. Satuła +1
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Atomic and Subatomic Physics Research #Atomic physics #Charge (physics) #Isospin #Mirror nuclei #Nuclear physics research studies #Nucleon #Particle physics #Physics #Quantum mechanics #Quark #nucl-th
paper · pdf · doi:10.1103/physrevc.103.054320
published as Phys. Rev. C 103, 054320 (2021) · 10 pages, 15 figures; accepted for publication in Physical Review C
openalex created_date 2020/10/22 · arxiv created 2021/05/09 · openalex publication_date 2021/05/24 · arxiv updated 2021/06/02 · openalex updated_date 2026/08/05
Background: Small asymmetry between neutrons and protons, caused by the differences in masses and charges of the up and down constituent quarks, leads to isospin symmetry breaking. The isospin nonconservation affects a broad range of observables from superallowed Fermi weak interaction to isospin-forbidden electromagnetic rates. Its most profound and cleanest manifestation are systematic shifts in masses and excitation energies of mirror atomic nuclei.Purpose: Recently, we constructed the charge-dependent density functional theory (DFT) that includes class II and III local interactions and demonstrated that the model allows for very accurate reproduction of mirror and triplet displacement energies in a very broad range of masses. The aim of this work is to further test the charge-dependent functional by studying mirror energy differences (MEDs) in the function of angular momentum I.Methods: To compute MEDs we use a DFT-rooted no core configuration interaction model. This post-mean-field method restores rotational symmetry and takes into account configuration mixing within a space that includes relevant (multi)particle-(multi)hole Slater determinants.Results: We applied the model to f7/2-shell mirror pairs of A=43, 45, 47, and 49 focusing on MEDs in the low-spin part (below band crossing), which allowed us to limit the model space to seniority one and three (one broken pair) configurations.Conclusions: We demonstrate that, for spins I\ensuremath≤15/2 being the subject of the present study, our model reproduces well experimental MEDs, which vary strongly in the function of I and A. The quality of the model's predictions for MEDs is comparable to the nuclear shell-model results by Bentley et al. [Phys. Rev. C 92, 024310 (2015)].