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The relativistic mean field approach (RMF) is well known for describing accurately binding energies and nucleon distributions in atomic nuclei throughout the nuclear chart. The random phase approximation (RPA) built on top of the RMF is…

Nuclear Theory · Physics 2008-11-26 Nguyen Van Giai , Haozhao Liang , Jie Meng

The matrix equations of the relativistic random-phase approximation (RRPA) are derived for an effective Lagrangian characterized by density-dependent meson-nucleon vertex functions. The explicit density dependence of the meson-nucleon…

Nuclear Theory · Physics 2009-11-07 T. Niksic , D. Vretenar , P. Ring

We present the formalism of the linear response theory in symmetric nuclear matter for a finite-range central interaction interaction including zero-range spin-orbit and tensor components.

Nuclear Theory · Physics 2018-11-08 D. Davesne , J. Navarro , A. Pastore

The random-phase approximation (RPA) as an approach for computing the electronic correlation energy is reviewed. After a brief account of its basic concept and historical development, the paper is devoted to the theoretical formulations of…

Materials Science · Physics 2017-07-26 Xinguo Ren , Patrick Rinke , Christian Joas , Matthias Scheffler

Several approaches to photonuclear reactions, based on the time-dependent density-functional theory, have been developed recently. The standard linearization leads to the random-phase approximation (RPA) or the quasiparticle-random-phase…

In view of the application to supernova simulations, we calculate neutrino reaction rates with nucleons via the neutral and charged currents in the supernova core in the relativistic random phase approximation (RPA) and study their effects…

Astrophysics · Physics 2009-10-31 Shoichi Yamada , Hiroshi Toki

In this work, we propose an effective finite-range Gogny-type interaction that can be directly used in the quantum molecular dynamics (QMD) like model. Two methods for determining the parameters of the effective interaction are discussed.…

Nuclear Theory · Physics 2025-04-22 Meiqi Sun , Dandan Niu , Junping Yang , Ying Cui , Zhuxia Li , Qiang Zhao , Kai Zhao , Yingxun Zhang

The consistent description of the nuclear response at low and high momentum transfer requires a unified dynamical model, suitable to account for both short- and long-range correlation effects. We report the results of a study of the charged…

Nuclear Theory · Physics 2009-10-06 Omar Benhar , Nicola Farina

The transverse nuclear response to an electromagnetic probe which is limited to create (or destroyed) a particle-hole ($ph$) or delta-hole ($\Delta h$) pair is analyzed. Correlations of the random phase approximation (RPA) type and self…

Nuclear Theory · Physics 2009-10-31 E. Bauer

The response of a nucleus to an electromagnetic probe is a key quantity to simulate photabsorption or photodeexcitation processes. For large calculations at the scale of the entire mass table, this response can be estimated by linear…

Nuclear Theory · Physics 2024-04-05 Tong Li , Nicolas Schunck

The properties of pairing correlations in symmetric nuclear matter are studied in the relativistic mean field (RMF) theory with the effective interaction PK1. Considering well-known problem that the pairing gap at Fermi surface calculated…

Nuclear Theory · Physics 2010-11-23 Jun Li , Bao Yuan Sun , Jie Meng

Second RPA (SRPA) calculations of nuclear response are performed and analyzed. Unlike in most other SRPA applications, the ground state, approximated by the Hartree-Fock (HF) ground state, and the residual couplings are described by the…

Nuclear Theory · Physics 2010-04-06 P. Papakonstantinou , R. Roth

The liquid-gas phase transition for homogeneous symmetric nuclear matter is studied in the mean-field approximation. Critical properties are computed using a comprehensive group of Skyrme and Gogny forces in an effort to elucidate the…

Nuclear Theory · Physics 2010-07-23 A. Rios

We formulate a microscopic theory to calculate cross section of the radiative neutron capture reaction on neutron-rich nuclei using the continuum random-phase approximation (cRPA) to the time-dependent density functional theory (TDDFT).…

Nuclear Theory · Physics 2023-06-28 Teruyuki Saito , Masayuki Matsuo

The random phase approximation (RPA) for the correlation energy functional of density functional theory has recently attracted renewed interest. Formulated in terms of the Kohn-Sham (KS) orbitals and eigenvalues, it promises to resolve some…

Other Condensed Matter · Physics 2009-11-13 Hong Jiang , Eberhard Engel

Using the adiabatic connection, we formulate the free energy in terms of the correlation function of a fictitious system, $h_{\lambda}({\bf r},{\bf r}')$, where $\lambda$ determines the interaction strength. To obtain $h_{\lambda}({\bf…

Statistical Mechanics · Physics 2016-06-15 Derek Frydel , Manman Ma

We compute moments of the isoscalar monopole response of N = Z closed-shell nuclei based on chiral nucleon-nucleon plus three-nucleon interactions. We employ the random phase approximation (RPA) and two ab initio many-body approaches, the…

Nuclear Theory · Physics 2026-03-03 Francesca Bonaiti , Andrea Porro , Sonia Bacca , Achim Schwenk , Alexander Tichai

Response functions of infinite nuclear matter with arbitrary isospin asymmetry are studied in the framework of the random phase approximation. The residual interaction is derived from a general nuclear Skyrme energy density functional.…

Nuclear Theory · Physics 2015-06-11 A. Pastore , D. Davesne , J. Navarro

The fully consistent relativistic proton-neutron quasiparticle random phase approximation (PN-RQRPA) is employed in the calculation of beta-decay half-lives of neutron-rich nuclei in the N$\approx$50 and N$\approx$82 regions. A new…

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

We explore the nuclear responses at intermediate energies, particularly in the spin longitudinal and spin transverse isovector channels, within the continuum random phase approximation framework. We also employ an extension of the standard…

Nuclear Theory · Physics 2009-09-25 A. De Pace , M. Viviani