Abstract
Up to now, empirical shell-model Hamiltonians for valence space calculations provide the most accurate description of the low-energy spectra and individual transitions of sd- and pf-shell nuclei. These features made them of particular importance for the description of the isospin-symmetry-breaking phenomena, such as energy splitting of the isobaric multiplets or isospin-forbidden transition rates. In this contribution, we demonstrate the applications of a recently constructed isospin non-conserving (INC) Hamiltonian in sd shell [Lam et al. Phys. Rev. C 87, 054304 (2013)]. First, we explore the partial decay scheme of 24Si and discuss the states affected by the Thomas-Ehrman shift. Second, we show the accuracy of the INC Hamiltonian for the description of the mirror energy differences.
Highlights
The concept of isospin symmetry significantly simplifies nuclear many-body calculations and enables us to understand the structure of nuclei in the vicinity of the N = Z line
We show that with the isospin non-conserving (INC) Hamiltonians described above we reasonably reconstruct the mirror energy difference (MED) of yrast states of sd-shell T = 1/2 multiplets
We have used a recently constructed INC sd-shell Hamiltonian based on USDB to describe a partial-decay scheme of 24Si and MEDs in T = 1/2 mirror A = 21 and A = 23 nuclei
Summary
Modern experiments at radioactive ion beam facilities are capable to bring accurate information on the isospin-symmetry breaking in various phenomena, ranging from the splittings of the isobaric multiplets to rates of isospin-forbidden decays It is a challenge for a microscopic nuclear theory to describe the experimental observations, making a link to the isospin properties of the nucleon-nucleon interaction. The half-life of 24Si is about 20% larger than the experimental value and the distribution of the GT strength is in robust agreement with the experimental data It is seen from the tables on Fig., that both interactions predict very similar GT branching ratios as it is the isospin-invariant USDB.
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