Unrestricted Skyrme-tensor time-dependent Hartree-Fock model and its application to the nuclear response from spherical to triaxial nuclei

Abstract

The nuclear time-dependent Hartree-Fock model formulated in the three-dimensional space, based on the full standard Skyrme energy density functional complemented with the tensor force, is presented for the first time. Full self-consistency is achieved by the model. The application to the isovector giant dipole resonance is discussed in the linear limit, ranging from spherical nuclei ( 16 O, 120 Sn) to systems displaying axial or triaxial deformation ( 24 Mg, 28 Si, 178 Os, 190 W , 238 U). Particular attention is paid to the spin-dependent terms from the central sector of the functional, recently included together with the tensor. They turn out to be capable of producing a qualitative change on the strength distribution in this channel. The effect on the deformation properties is also discussed. The quantitative effects on the linear response are small and, overall, the giant dipole energy remains unaffected. Calculations are compared to predictions from the (quasi)-particle random phase approximation and experimental data where available, finding good agreement.

Nuclear matter response function with a central plus tensor Landau interaction

“…The latter are very difficult to constrain using only ground state properties, thus the use of Landau response functions could be of help to define the correct interval of variation of such terms, thus avoiding instability regions [27,11]. However, the latter conditions are necessary but not sufficient to have a stable Skyrme pseudo-potential: as recently shown in [47,48], poorly-constrained coupling constants related to gradient terms can produce finite-size instabilities. These instabilities can be detected using the linear response formalism [49,50,51], with no extra computational cost and directly included into the optimization procedure [52].…”

Dissipation dynamics and spin-orbit force in time-dependent Hartree-Fock theory

“…As indicated by Loebl and collaborators, the one-body dissipation is not enough to achieve the true equilibrium as the reaction proceeds to longer contact times [15]. The tensor force has been included in recent TDHF calculations [17][18][19]. The timeeven contribution of the tensor force was found to have important roles in heavy-ion collisions [17,18].…”

Time-dependent Hartree-Fock studies of the dynamical fusion threshold

“…These limitations turned out to be a hindrance for the development [16]. With the upgrade of computer power, three-dimensional TDHF simulation with full Skyrme effective interaction becomes possible and revived the new interests in nuclear dynamics as seen from an impressive series of recent publications [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35].…”