Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
arXiv:1707.08622 · doi:10.1103/PhysRevC.96.044330
Abstract
We present the development of the extended Skyrme N2LO pseudo-potential in the case of spherical even-even nuclei calculations. The energy density functional is first presented. Then we derive the mean-field equations and discuss the numerical method used to solve the resulting fourth-order differential equation together with the behaviour of the solutions at the origin. Finally, a fitting procedure for such a N2LO interaction is discussed and we provide a first parametrization. Typical ground-state observables are calculated and compared against experimental data.
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Cited by in corpus (7)
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- Impact of ground-state properties and collective excitations on the Skyrme ansatz: a Bayesian study
- Optimized nuclear energy density functionals including long-range pion contributions
- Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory
- Surface energy coefficient of a N2LO Skyrme energy functional : a semiclassical Extended Thomas-Fermi approach
- Impact of choices for center-of-mass correction energy on the surface energy of Skyrme energy density functionals