Nuclear energy density functional from chiral pion-nucleon dynamics: Isovector terms

Abstract

We extend a recent calculation of the nuclear energy density functional in the framework of chiral perturbation theory by computing the isovector surface and spin-orbit terms: $(\vec \nabla ρ_p- \vec \nabla ρ_n)^2 G_d(ρ)+ (\vec \nabla ρ_p- \vec \nabla ρ_n)\cdot(\vec J_p-\vec J_n) G_{so(ρ)+(\vec J_p-\vec J_n)^2 G_J(ρ)$ pertaining to different proton and neutron densities. Our calculation treats systematically the effects from $1\pi$-exchange, iterated $1\pi$-exchange, and irreducible $2\pi$-exchange with intermediate $\Delta$-isobar excitations, including Pauli-blocking corrections up to three-loop order. Using an improved density-matrix expansion, we obtain results for the strength functions $G_d(\rho )$, $G_{so}(\rho )$ and $G_J(\rho )$ which are considerably larger than those of phenomenological Skyrme forces. These (parameter-free) predictions for the strength of the isovector surface and spin-orbit terms as provided by the long-range pion-exchange dynamics in the nuclear medium should be examined in nuclear structure calculations at large neutron excess.

12 pages, 5 figures

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Cited by in corpus (6)

• Cold neutrons trapped in external fields
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• Microscopically-constrained Fock energy density functionals from chiral effective field theory. I. Two-nucleon interactions
• The nuclear energy density functional formalism
• Isovector part of nuclear energy density functional from chiral two- and three-nucleon forces
• Effects of isovector spin-orbit interaction on the charge-weak form factor difference in ${}^{48}$Ca, ${}^{208}$Pb, ${}^{90}$Zr and ${}^{62}$Ni