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We derive density-dependent corrections to the in-medium nucleon-nucleon interaction from the leading-order chiral three-nucleon force. To this order there are six distinct one-loop diagrams contributing to the in-medium nucleon-nucleon…

Nuclear Theory · Physics 2010-04-06 J. W. Holt , N. Kaiser , W. Weise

Relations between the nuclear symmetry energy coefficient and its density derivatives are derived. The relations hold for a class of interactions with quadratic momentum dependence and a power-law density dependence. The structural…

Nuclear Theory · Physics 2017-08-25 C. Mondal , B. K. Agrawal , J. N. De , S. K. Samaddar , M. Centelles , X. Viñas

The increasing interest in the Mueller density-matrix-functional theory has led us to a systematic mathematical investigation of its properties. This functional is similar to the Hartree-Fock functional, but with a modified exchange term in…

Strongly Correlated Electrons · Physics 2009-09-29 Rupert L. Frank , Elliott H. Lieb , Robert Seiringer , Heinz Siedentop

The energy spectrum of nucleons in high-density nuclear matter is investigated in the framework of relativistic meson-nucleon many-body theory, employing the $1/N$ expansion method. The coupling of the nucleon with the particle-hole…

Nuclear Theory · Physics 2009-09-25 Kazuhiro Tanaka

Generalized density dependence in Skyrme effective interactions is investigated to get forces valid beyond the mean field approximation. Preliminary results are presented for infinite symmetric and asymmetric nuclear matter up to pure…

Nuclear Theory · Physics 2015-06-26 B. Cochet , K. Bennaceur , P. Bonche , T. Duguet , J. Meyer

We propose approximations which go beyond the local density approximation for the short-range exchange and correlation density functionals appearing in a multi-determinantal extension of the Kohn-Sham scheme. A first approximation consists…

Chemical Physics · Physics 2009-11-10 Julien Toulouse , Francois Colonna , Andreas Savin

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 discuss the effect of pairing on two-neutron space correlations in deformed nuclei. The spatial correlations are described by the pairing tensor in coordinate space calculated in the HFB approach. The calculations are done using the D1S…

Nuclear Theory · Physics 2014-11-20 N. Pillet , N. Sandulescu , P. Schuck , J. -F. Berger

We review recent progress in the determination of the subsaturation density behavior of the nuclear symmetry energy from heavy-ion collisions as well as the theoretical progress in probing the high density behavior of the symmetry energy in…

Nuclear Theory · Physics 2008-12-25 Lie-Wen Chen , Che Ming Ko , Bao-An Li , Gao-Chan Yong

Density functional theory can be extended to excited states by means of a unified variational approach for passive state ensembles. This extension overcomes the restriction of the typical density functional approach to ground states, and…

Chemical Physics · Physics 2019-07-10 Tim Gould , Stefano Pittalis

The nuclear symmetry energy represents a response to the neutron-proton asymmetry. In this survey we discuss various aspects of symmetry energy in the framework of nuclear density functional theory, considering both non-relativistic and…

Nuclear Theory · Physics 2014-08-07 W. Nazarewicz , P. -G. Reinhard , W. Satula , D. Vretenar

Electronic structure calculations are routinely carried out within the framework of density-functional theory, often with great success. For electrons in reduced dimensions, however, there is still a need for better approximations to the…

Strongly Correlated Electrons · Physics 2009-09-22 S. Pittalis , E. Rasanen , E. K. U. Gross

The momentum and density dependence of mean fields in symmetric and asymmetric nuclear matter are analysed using the simple density dependent finite range effective interaction containing a single Gaussian term alongwith the zero-range…

Nuclear Theory · Physics 2015-06-11 T. R. Routray , X. Vinas , S. K. Tripathy , M. Bhuyan , S. K. Patra , B. Behera

A new dynamic is identified between dark matter and nuclei. Nuclei accelerated to MeV energies by the internal potential of composite dark matter can undergo nuclear fusion. This effect arises in simple models of composite dark matter made…

High Energy Physics - Phenomenology · Physics 2022-01-25 Javier F. Acevedo , Joseph Bramante , Alan Goodman

We present a new Gogny-type finite-range effective interaction including a third Gaussian in the central term. Based on simple arguments valid for an arbitrary radial form factor, the three ranges are fixed from physical grounds, relating…

Nuclear Theory · Physics 2023-08-16 L. Batail , D. Davesne , S. Péru , P. Becker , A. Pastore , J. Navarro

A correction to the nuclear functional is proposed in order to improve the density of states around the Fermi surface. The induced effect of this correction is to produce a surface-peaked effective mass, whose mean value can be tuned to get…

The symmetry energy coefficients for nuclei with mass number A=20~250 are extracted from more than 2000 measured nuclear masses. With the semi-empirical connection between the symmetry energy coefficients of finite nuclei and the nuclear…

Nuclear Theory · Physics 2010-12-28 Min Liu , Ning Wang , Zhuxia Li , Fengshou Zhang

We showcase the advantages of orbital-free density-potential functional theory (DPFT), a more flexible variant of Hohenberg-Kohn density functional theory. DPFT resolves the usual trouble with the gradient-expanded kinetic energy functional…

Quantum Gases · Physics 2021-06-16 Martin-Isbjörn Trappe , Jun Hao Hue , Berthold-Georg Englert

Low-energy nuclear fusion reactions have been described using a dynamical coupled-channels density matrix method, based on the theory of open quantum systems. For the first time, this has been combined with an energy projection method,…

Nuclear Theory · Physics 2022-03-01 Iain Lee , Alexis Diaz-Torres

The density-dependent finite-range Gogny force has been used to derive the effective Hamiltonian for the shell-model calculations of nuclei. The density dependence simulates an equivalent three-body force, while the finite range gives a…

Nuclear Theory · Physics 2018-10-31 Weiguang Jiang , Baishan Hu , Zhonghao Sun , Furong Xu
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