6533b857fe1ef96bd12b3cf1

RESEARCH PRODUCT

Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using the N2LO Skyrme pseudopotential in spherical symmetry

Jesús NavarroDany DavesneJacques MeyerP. BeckerAlessandro Pastore

subject

PhysicsNuclear Theory[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th]010308 nuclear & particles physicsDifferential equationNumerical analysisHartree–Fock methodFOS: Physical sciencesObservable01 natural sciencesNuclear Theory (nucl-th)PseudopotentialClassical mechanics0103 physical sciencesDevelopment (differential geometry)Circular symmetry010306 general physicsParametrization[ PHYS.NUCL ] Physics [physics]/Nuclear Theory [nucl-th]

description

International audience; We present the development of the extended Skyrme N2LO pseudopotential 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 behavior of the solutions at the origin. Finally, a fitting procedure for such an N2LO interaction is discussed and we provide a first parametrization. Typical ground-state observables are calculated and compared against experimental data.

10.1103/physrevc.96.044330https://hal.archives-ouvertes.fr/hal-01645853