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A survey is presented of the theoretical status of quadratic response theories for the understanding of nonlinear aspects in the interaction of charged particles with matter. In the frame of the many-body perturbation theory we study the…

Materials Science · Physics 2007-05-23 J. M. Pitarke , I. Campillo

Properties of nuclear and neutron matter are discussed in a nonlinear $\sigma$-$\omega$-$\rho$ mean-field approximation with self-interactions and mixing-interactions of mesons and baryons. The nonlinear interactions are renormalized by…

Nuclear Theory · Physics 2008-11-26 Hiroshi Uechi

We consider the finite volume approximation of a reaction-diffusion system with fast reversible reaction. We deduce from a priori estimates that the approximate solution converges to the weak solution of the reaction-diffusion problem and…

Analysis of PDEs · Mathematics 2008-08-05 R. Eymard , D. Hilhorst , M. Olech

The main features of nuclear reactions with participation of baryon resonances ($\Delta$(1232), S(1535) and $\Lambda$(1405)), which are interpreted as a manifestation of the bound states of nucleus and corresponding meson are discussed.

Nuclear Theory · Physics 2007-07-09 O. D. Dalkarov

A method based on Monte Carlo techniques is presented for evaluating thermonuclear reaction rates. We begin by reviewing commonly applied procedures and point out that reaction rates that have been reported up to now in the literature have…

Solar and Stellar Astrophysics · Physics 2015-05-18 Richard Longland , Christian Iliadis , Art Champagne , Joe Newton , Claudio Ugalde , Alain Coc , Ryan Fitzgerald

Spatial correlation characteristics of the anomalous density matrix $\kappa$ in a slab of nuclear matter with the Paris and Argonne v18 forces are calculated. A detailed comparison with predictions of the effective Gogny force is made. It…

Nuclear Theory · Physics 2009-04-28 S. S. Pankratov , E. E. Saperstein , M. V. Zverev , M. Baldo , U. Lombardo

The Landau parameters obtained from the matrix elements of an effective interaction recently derived within the formalism of correlated basis functions have been used to carry out a study of the weak response of neutron matter in the region…

Nuclear Theory · Physics 2015-06-11 Omar Benhar , Andrea Cipollone , Andrea Loreti

A reaction-diffusion model of receptor-toxin-antibody (RTA) interaction is studied numerically. The protective properties of an antibody against a given toxin are evaluated for a spherical cell placed into a toxin-antibody solution. The…

Cell Behavior · Quantitative Biology 2012-06-06 P. Katauskis , P. Skakauskas , A. Skvortsov

The relativistic quasiparticle random phase approximation (RQRPA) is formulated in the canonical single-nucleon basis of the relativistic Hartree-Bogoliubov (RHB) model. For the interaction in the particle-hole channel effective Lagrangians…

Nuclear Theory · Physics 2009-02-18 N. Paar , T. Niksic , D. Vretenar , P. Ring

Linearizing the appropriate kinetic equation we derive general response functions including selfconsistent mean fields or density functionals and collisional dissipative contributions. The latter ones are considered in relaxation time…

Nuclear Theory · Physics 2008-12-18 Klaus Morawetz , Uwe Fuhrmann

Non-empirical effective contact pairing forces to be used in self-consistent mean-field calculations are presented. These pairing forces, constructed so as to reproduce exactly any given microscopic pairing gaps in infinite homogeneous…

Nuclear Theory · Physics 2010-09-21 Nicolas Chamel

Nuclear effective interactions are often modelled by simple analytical expressions such as the Skyrme zero-range force. This effective interaction depends on a limited number of parameters that are usually fitted using experimental data…

Nuclear Theory · Physics 2015-06-03 A. Pastore , K. Bennaceur , D. Davesne , J. Meyer

A method for integrating the chemical equations associated with nuclear combustion at high temperature is presented and extensively checked. Following the idea of E. M\"uller, the feedback between nuclear rates and temperature was taken…

Astrophysics · Physics 2007-05-23 Ruben M. Cabezon Gomez , Domingo Garcia-Senz , Eduardo Bravo

We perform a calculation of dense and hot nuclear matter where the mean interaction between nucleons is described by in-medium effective fields and where we employ analytical approximations of the Fermi integrals. We generalize a previous…

Nuclear Theory · Physics 2024-04-19 Odilon Lourenço , Mariana Dutra , Jérôme Margueron

The Random Phase Approximation (RPA) is a widely employed post Hartree-Fock or DFT method, capable of capturing van der Waal interactions and other dynamic correlation effects at relatively low costs of $\mathcal O(N^3)$ in time and…

Materials Science · Physics 2015-09-02 Felix Hummel

A zone of reactions is determined and then exploited as a tool in studying the space-time structure of an interacting system formed in a collision of relativistic nuclei. The time dependence of the reaction rates integrated over spatial…

Nuclear Theory · Physics 2015-07-28 Dmitry Anchishkin , Anton Muskeyev , Stanislav Yezhov

A brief overview is given of the properties of spectral functions in finite nuclei as obtained from (e,e'p) experiments. Based on recent experimental data from this reaction it is argued that the empirical value of the saturation density of…

Nuclear Theory · Physics 2009-11-07 W. H. Dickhoff , E. P. Roth

The relation between collective modes and the phase transition in low density nuclear matter is examined. The dispersion relations for collective modes in a linear approach are evaluated within a Landau-Fermi liquid scheme by assuming…

Nuclear Theory · Physics 2011-05-13 R. M. Aguirre , A. L. De Paoli

The relativistic amplitude for the direct knock-out contribution to $\left( \gamma, p \right)$ reactions on nuclei is reduced to a nonrelativistic form using an effective Pauli reduction scheme. The reduction is carried out to second order…

Nuclear Theory · Physics 2009-10-28 M. Hedayati-Poor , J. I. Johansson , H. S. Sherif

The nuclear collective response at finite temperature is investigated for the first time in the quantum framework of the small amplitude limit of the extended TDHF approach, including a non-Markovian collision term. It is shown that the…

Nuclear Theory · Physics 2008-11-26 Denis Lacroix , Philippe Chomaz , Sakir Ayik