Isobaric Multiplet Mass Equation within nuclear Density Functional Theory

Abstract

We extend the nuclear Density Functional Theory (DFT) by including proton-neutron mixing and contact isospin-symmetry-breaking (ISB) terms up to next-to-leading order (NLO). Within this formalism, we perform systematic study of the nuclear mirror and triple displacement energies, or equivalently of the Isobaric Multiplet Mass Equation (IMME) coefficients. By comparing results with those obtained within the existing Green Function Monte Carlo (GFMC) calculations, we address the fundamental question of the physical origin of the ISB effects. This we achieve by analyzing separate contributions to IMME coefficients coming from the electromagnetic and nuclear ISB terms. We show that the ISB DFT and GFMC results agree reasonably well, and that they describe experimental data with a comparable quality. Since the separate electromagnetic and nuclear ISB contributions also agree, we conclude that the beyond-mean-field electromagnetic effects may not play a dominant role in describing the ISB effects in finite nuclei.

This is the version of the article accepted in Journal of Physics G: Nuclear and Particle Physics

References in corpus (5)

• Isospin mixing in nuclei within the nuclear density functional theory
• Isochronous mass measurements of $T_z=-1$ $fp$-shell nuclei from projectile fragmentation of ${}^{58}$Ni
• Isospin-symmetry breaking in superallowed Fermi beta-decay due to isospin-nonconserving forces
• Simple regularization scheme for multi-reference density functional theories
• Precision mass measurements of magnesium isotopes and implications on the validity of the Isobaric Mass Multiplet Equation

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• Isobaric-multiplet mass equation in a macroscopic-microscopic approach
• Mirror energy differences in T=1/2 f7/2-shell nuclei within isospin-dependent DFT
• QCD-based charge symmetry breaking interaction and the Okamoto-Nolen-Schiffer anomaly
• Isovector density and isospin impurity in ${}^{40}\mathrm{Ca}$
• Precision calculation of isospin-symmetry-breaking corrections to T=1/2 mirror decays using multi-reference charge-dependent density functional theory
• ${}^{164}\mathrm{Pb}$: A possible heaviest $N=Z$ doubly magic nucleus
• Isobaric analog state energy in deformed nuclei: a toy model
• Mirror-skin thickness: a possible observable sensitive to the charge symmetry breaking energy density functional
• Relativistic correction of the Coulomb interaction in the local density approximation for energies and radii in doubly-magic nuclei
• Charge symmetry breaking effects of $\omega$-${\rho }^0$ mixing in relativistic mean-field model