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We argue that the neutrino oscillation probabilities in matter are best understood by allowing the mixing angles and mass-squared differences in the standard parametrization to `run' with the matter effect parameter $a=2\sqrt{2}G_F N_e E$,…

High Energy Physics - Phenomenology · Physics 2014-09-29 Sanjib Kumar Agarwalla , Yee Kao , Tatsu Takeuchi

The behavior of nuclear matter is studied at low densities and temperatures using classical molecular dynamics with three different sets of potentials with different compressibility. Nuclear matter is found to arrange in crystalline…

Nuclear Theory · Physics 2013-05-13 C. O. Dorso , P. A. Giménez Molinelli , J. I. Nichols , J. A. López

We construct the equation of state (EOS) of nuclear matter at finite temperature and density with various proton fractions within the relativistic mean field (RMF) theory for the use in the supernova simulations. The Thomas-Fermi…

Nuclear Theory · Physics 2009-10-31 H. Shen , H. Toki , K. Oyamatsu , K. Sumiyoshi

We argue that an ionic lattice surrounded by a Fermi liquid changes phase several times under pressure, oscillating between the symmetric phase and a low-symmetry dimerized structure, as a consequence of Friedel oscillations in the pair…

Materials Science · Physics 2007-05-23 G. G. N. Angilella , F. Siringo , R. Pucci

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

Considering the effects of charge screening, we propose a new numerical recipe within the framework of Thomas-Fermi approximation, where the properties of nuclear matter throughout a vast density range can be obtained self-consistently.…

Nuclear Theory · Physics 2022-04-19 Cheng-Jun Xia , Bao Yuan Sun , Toshiki Maruyama , Wen-Hui Long , Ang Li

The nuclear energy density functional method at finite temperature is a useful tool for studies of nuclear structure at high excitation, and also for researches of nuclear matter involved in explosive stellar phenomena and neutron stars.…

Nuclear Theory · Physics 2023-03-02 Takashi Nakatsukasa

The effect of an oscillating electric field normal to a metallic surface may be described by an effective potential. This induced potential is calculated using semiclassical variants of the random phase approximation (RPA). Results are…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Michael Wilkinson

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 properties of nucleon-nucleon scattering inside dense nuclear matter are investigated. We use the relativistic Brueckner-Hartree-Fock model to determine on-shell and half off-shell in-medium transition amplitudes and cross sections. At…

Nuclear Theory · Physics 2009-11-07 C. Fuchs , Amand Faessler , M. El-Shabshiry

We calculate the mean free path in a hot and dense nuclear environment for a fermionic dark matter particle candidate in the $\sim$GeV mass range interacting with nucleons via scalar and vector effective couplings. We focus on the effects…

High Energy Physics - Phenomenology · Physics 2017-05-23 Marina Cermeño , M. Ángeles Pérez-García , Joseph Silk

Recent ab initio lattice studies have found that the interactions between alpha particles (4He nuclei) are sensitive to seemingly minor details of the nucleon-nucleon force such as interaction locality. In order to uncover the essential…

Nuclear Theory · Physics 2017-06-14 Alexander Rokash , Evgeny Epelbaum , Hermann Krebs , Dean Lee

The probability amplitude for $N$ particles in a quantum gas with negligible range of interparticle interaction potentials to come to a small region of size $r$ scales like $r^\gamma$. It is shown that $\gamma$ is quantitatively related to…

Statistical Mechanics · Physics 2007-05-23 Shina Tan

We study the parametric resonance of the neutrino oscillation through the matter whose density varies spatially. The Fourier analysis of the matter effect enables us to clarify the parametric resonance condition, which is summarized in a…

High Energy Physics - Phenomenology · Physics 2008-10-20 Joe Sato , Masafumi Koike , Toshihiko Ota , Masako Saito

Heavy even-even nuclei exhibit low-energy collective excitations that are separated in scale from the microscopic (fermion) degrees of freedom. This separation of scale allows us to approach nuclear vibrations within an effective field…

Nuclear Theory · Physics 2016-11-21 E. A. Coello Pérez , T. Papenbrock

The reaction mechanism of nucleus-nucleus collisions at projectile energies around the Fermi energy is investigated with emphasis on the production of fragmentation-like residues. The results of simulations are compared to experimental mass…

Nuclear Theory · Physics 2008-11-26 M. Veselsky , G. A. Souliotis

Nuclear Fermi momentum is a basic property of a nucleus where many nucleons dwell. However, in experiments only the nuclear Fermi momenta of just a few nuclei are measured using quasielastic electron scattering on the nuclear targets so…

Nuclear Theory · Physics 2021-12-30 Hui Liu , Na-Na Ma , Rong Wang

A number of derivations of the standard neutrino oscillation formula are known, each one providing its own unique insights. Common to all treatments is the assumption that neutrinos propagate freely between source and detector, as indeed…

High Energy Physics - Phenomenology · Physics 2019-10-08 Lucas Johns

By fitting to a database of ab-initio forces and energies, we can extract pair potentials for alloys, with a simple six-parameter analytic form including Friedel oscillations, which give a remarkably faithful account of many complex…

Materials Science · Physics 2013-05-30 M. Mihalkovič , C. L. Henley , M. Widom , P. Ganesh

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…