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The problem of the divergences which arise in beyond mean-field calculations, when a zero-range effective interaction is employed, has not been much considered so far. Some of us have proposed, quite recently, a scheme to regularize a…

Nuclear Theory · Physics 2014-10-22 Marco Brenna , Gianluca Colò , Xavier Roca-Maza

We present calculations of nuclear level densities that are based upon the detailed microphysics of the interacting shell model yet are also computationally tractable. To do this, we combine in a novel fashion several previously disparate…

Nuclear Theory · Physics 2007-05-23 Calvin W. Johnson , Jameel-Un Nabi , W. Erich Ormand

We develop a self-consistent description of hot nuclei within the relativistic Thomas--Fermi approximation using the relativistic mean-field model for nuclear interactions. The temperature dependence of the symmetry energy and other…

Nuclear Theory · Physics 2014-11-07 Z. W. Zhang , S. S. Bao , J. N. Hu , H. Shen

Starting from many quark interactions, we construct a nonlinear sigma-omega model at finite temperature and density. The mesons are introduced as auxiliary fields. Effective quark-meson couplings are strongly related to effective meson…

Nuclear Theory · Physics 2007-05-23 H. Kouno , T. Sakaguchi , K. Kashiwa , M. Hamada , H. Tokudome , M. Matsuzaki , M. Yahiro

Low-energy neutrino interactions with isolated nucleons are accurately described by the effective theory based on Fermi's groundbreaking description of neutron $\beta$-decay. On the other hand, the extension of this scheme to the case of…

Nuclear Theory · Physics 2026-04-28 Omar Benhar

In this work we analyze how effects of finite size may modify the thermodynamics of a system of strongly interacting fermions that we model using an effective field theory with four-point interactions at finite temperature and density and…

High Energy Physics - Theory · Physics 2015-06-11 Antonino Flachi

Nucleon momentum distributions (NMDs) reveal essential information about Fermi motion and short-range correlations (SRCs). In extracting NMDs from inclusive electron scattering data, theoretical analyses, such as the scaling analysis, are…

Nuclear Theory · Physics 2025-12-29 Tongqi Liang , Dong Bai , Zhongzhou Ren

A widely used relativistic Fermi gas model and plane-wave impulse approximation are tested against electron-nucleus scattering data. Inclusive quasi-elastic cross section are calculated and compared with high-precision data for C, O, and…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. V. Butkevich , S. P. Mikheyev

The study of neutrino-nucleus scattering processes is important for the new generation neutrino experiments for better understanding of the neutrino oscillation phenomenon. A significant source of uncertainty in the cross-section comes from…

High Energy Physics - Phenomenology · Physics 2025-01-10 Sam Carey

The relativistic mean-field model, augmented with three types of center-of-mass corrections and two types of rotational corrections, is employed to investigate the ground-state properties of helium, beryllium, and carbon isotopes. The…

Nuclear Theory · Physics 2024-01-08 Yu-Ting Rong

The nuclear shell model is one of the successful models in theoretical understanding of nuclear structure. If a convenient effective interaction can be found between nucleons, various observables such as energies of nuclear states are…

Nuclear Theory · Physics 2020-01-24 Serkan Akkoyun , Nadjet Laouet , Fatima Benrachi

The ground-state properties of neutron-rich nuclear clusters in the inner crust of neutron stars are investigated within the Wigner-Seitz approximation using a relativistic mean-field framework. The radial Dirac equations are solved with an…

Nuclear Theory · Physics 2026-05-08 Jinzhe Zhang , Hong Shen , Ying Zhang , Jinniu Hu

Based on the basic definition of Fermi energy of degenerate and relativistic electrons, we obtain a special solution to electron Fermi energy, $E_{\rm F}(e)$, and express $E_{\rm F}(e)$ as a function of electron fraction, $Y_{e}$, and…

High Energy Astrophysical Phenomena · Physics 2016-03-09 Xing Hu Li , Zhi Fu Gao , Xiang Dong Li , Yan Xu , Pei Wang , Na Wang , Jianping Yuan

In this chapter we focus first on the theoretical methods and relevant computational approaches to calculate the electronic structure of atoms, molecules, and clusters containing heavy elements for which relativistic effects become…

Chemical Physics · Physics 2021-10-05 Simone Taioli , Stefano Simonucci

We study the influence of the scheme for the correction for spurious center-of-mass motion on the fit of effective interactions for self-consistent nuclear mean-field calculations. We find that interactions with very simple center-of-mass…

Nuclear Theory · Physics 2011-07-19 M. Bender , K. Rutz , P. -G. Reinhard , J. A. Maruhn

The relationship between the mean-field approximations in various interacting models of statistical physics and measures of classical and quantum correlations is explored. We present a method that allows us to bound the total amount of…

Quantum Physics · Physics 2009-11-10 Vlatko Vedral

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

We use all-optical methods to produce a highly-degenerate Fermi gas of spin-1/2 $^6$Li atoms. A magnetic field tunes the gas near a collisional (Feshbach) resonance, producing strong interactions between spin-up and spin-down atoms. This…

Other Condensed Matter · Physics 2009-11-13 A. Turlapov , J. Kinast , B. Clancy , Le Luo , J. Joseph , J. E. Thomas

We study nuclear and neutron matter by combining chiral effective field theory with non-perturbative lattice methods. In our approach nucleons and pions are treated as point particles on a lattice. This allows us to probe larger volumes,…

Nuclear Theory · Physics 2009-11-10 Dean Lee , Bugra Borasoy , Thomas Schaefer

The neutrino research program in the coming decades will require improved precision. A major source of uncertainty is the interaction of neutrinos with nuclei that serve as targets for such experiments. Broadly speaking, this interaction…

High Energy Physics - Phenomenology · Physics 2025-06-02 Bhubanjyoti Bhattacharya , Sam Carey , Erez O. Cohen , Gil Paz
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