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Y. Lallouet

Publications and source records attributed to Y. Lallouet.

5 recordsLinked to original sources

Nuclear surface energy in a semiclassical Extended Thomas-Fermi approach with finite-range interactions

Using the Gogny finite-range interaction, we investigate a series of semiclassical approximations to the Fock term entering the calculation of the nuclear surface energy. By comparing these approximations with the exact results obtained from the full Hartree-Fock solution in semi-infinite nuclear matter, we derive a simple pocket formula that can be incorporated into fitting protocols to estimate the surface energy coefficient with excellent accuracy.

nucl-th

Generalised Bohr Hamiltonian for Gogny interactions

Using a generalised Bohr Hamiltonian formalism together with the Gogny interaction to provide a microscopic input of the required mass parameters, we present the potential energy surface and the evolution of the first excited 2$^+$ state for the gadolinium isotopic chain. We observe that the energies and electromagnetic transitions of low-lying states are fairly similar for the various parametrisations and are in good agreement with experimental data.

nucl-th

Surface energy coefficient of a N2LO Skyrme energy functional : a semiclassical Extended Thomas-Fermi approach

We generalize to N2LO Skyrme functionals the semi-classical approach of Grammaticos and Voros in order to calculate the Extended Thomas Fermi expressions of the new densities and currents appearing at the N2LO level. Within a one dimensional symmetric semi infinite nuclear matter model and using a simple Fermi-like density profile, we obtain an easy-to-use formula for the surface energy including the contributions of the central, density-dependent and spin-orbit terms up to $\hbar^2$. Such a formula can be easily used as a first attempt to constrain the surface properties of new N2LO Skyrme parametrizations. The N2LO parametrization tested in this paper is shown to exhibit a shift (compared to a full Hartree-Fock calculation) which is quantitatively similar to the one obtained with the traditional Skyrme parametrizations.

nucl-th

Nuclear response for the Skyrme effective interaction with zero-range tensor terms. II. Sum rules and instabilities

The formalism of linear response theory for Skyrme forces including tensor terms presented in article [1] is generalized for the case of a Skyrme energy density functional in infinite matter. We also present analytical results for the odd-power sum rules, with particular attention to the inverse energy weighted sum rule, $M_{-1}$, as a tool to detect instabilities in Skyrme functionals.

nucl-th

Hydrodynamics with spontaneous symmetry breaking: application to relativistic heavy ion collisions

In this paper we apply hydrodynamics for systems with continuous broken symmetries to heavy ion collisions in the framework of (1+1) dimensional Bjorken model. The temperature profile with respect to proper time determined in that context exhibits no differences with the ideal fluid. On the contrary, it is shown that the profile obtained when Müller-Israel-Stewart second order theory of dissipation is included on top of standard hydrodynamics indicates a slower cooling of the system.

hep-ph