Energy-density-functional calculations including the proton-neutron mixing

Abstract

We present results of calculations based on the Skyrme energy density functional including the arbitrary mixing between protons and neutrons. In this framework, single-particle states are superpositions of proton and neutron components and the energy density functional is fully invariant with respect to three-dimensional rotations in the isospin space. The isospin of the system is controlled by means of the isocranking method, which carries over the standard cranking approach to the isospin space. We show numerical results of the isocranking calculations performed for isobaric analogue states in the A=14 and $A=40-56$ nuclei. We also present such results obtained for high-isospin states in ${}^{48}$Cr, with constraints on the isospin implemented by using the augmented Lagrange method.

6 pages, 4 figures

References in corpus (4)

• Finite amplitude method for the quasi-particle-random-phase approximation
• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VI) HFODD (v2.38j): a new version of the program
• Comparative tests of isospin-symmetry-breaking corrections to superallowed 0+-to-0+ nuclear beta decay
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• Isospin-symmetry breaking in masses of $N\simeq Z$ nuclei
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• Solution of universal nonrelativistic nuclear DFT equations in the Cartesian deformed harmonic-oscillator basis. (IX) HFODD (v3.06h): a new version of the program
• No-core configuration-interaction model for the isospin- and angular-momentum-projected states
• Symmetry restoration in the mean-field description of proton-neutron pairing
• Pairing Nambu-Goldstone Modes within Nuclear Density Functional Theory
• Collective inertia of Nambu-Goldstone mode from linear response theory
• Isospin-invariant Skyrme energy-density-functional approach with axial symmetry
• Isobaric Multiplet Mass Equation within nuclear Density Functional Theory
• Nuclear masses near N = Z from Nilsson-Strutinsky calculations with pairing corrections beyond BCS from an isospin-conserving pairing force
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• Beta-decay Studies in N~Z Nuclei Using No-Core Configuration-Interaction Model
• Quadrupole Strength in Isobaric Triplets
• Mirror-skin thickness: a possible observable sensitive to the charge symmetry breaking energy density functional
• Description of isospin mixing by a generator coordinate method
• Testing modified (Horndeski) gravity by combining intrinsic galaxyalignments with cosmic shear