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A system of fermions with a short-range interaction proportional to the scattering length $a$ is studied at finite density. At any order $a^n$, we evaluate the complete contributions to the energy per particle $\bar E(k_f)$ arising from…

Nuclear Theory · Physics 2015-05-27 N. Kaiser

We consider interacting Fermi systems close to the unitary regime and compute the corrections to the energy density that are due to a large scattering length and a small effective range. Our approach exploits the universality of the density…

Nuclear Theory · Physics 2009-02-05 Anirban Bhattacharyya , T. Papenbrock

The equation of state for neutron stars in a wide-density range at zero temperature is constructed. The chiral quark-meson coupling model within relativistic Hartree-Fock approximation is adopted for uniform nuclear matter. The coupling…

High Energy Astrophysical Phenomena · Physics 2013-10-15 Tsuyoshi Miyatsu , Sachiko Yamamuro , Ken'ichiro Nakazato

We examine the local density of states of an impurity level or a quantum dot coupled to a fractional quantum Hall edge, or to the end of a single one-dimensional Luttinger-liquid lead. Effects of an Ohmic dissipative bath are also taken…

Mesoscale and Nanoscale Physics · Physics 2011-01-20 Moshe Goldstein , Richard Berkovits

We give a bound on the ground state energy of a system of $N$ non-interacting fermions in a three dimensional cubic box interacting with an impurity particle via point interactions. We show that the change in energy compared to the system…

Mathematical Physics · Physics 2019-08-27 Thomas Moser , Robert Seiringer

Modifications on the predictions about the matter power spectrum based on the hypothesis of a tiny contribution from a degenerate Fermi gas (DFG) test-fluid to some dominant cosmological scenario are investigated. Reporting about the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 E. L. D. Perico , Alex E. Bernardini

The momentum density, $n(k)$ of interacting many-body Fermionic systems is studied (for $k>k_F)$ using examples of several well-known two-body interaction models. This work shows that $n(k)$ can not be approximated by a zero-range model for…

Nuclear Theory · Physics 2018-02-14 Gerald A. Miller

In simulations of binary neutron star mergers, the dense matter equation of state (EOS) is required over wide ranges of density and temperature as well as under conditions in which neutrinos are trapped, and the effects of magnetic fields…

High Energy Astrophysical Phenomena · Physics 2019-02-20 S. Lalit , M. A. A. Mamun , C. Constantinou , M. Prakash

Landau's Fermi Liquid parameters are calculated for non-superfluid pure neutron matter in the presence of a strong magnetic field at zero temperature. The particle-hole interactions in the system, where a net magnetization may be present,…

Nuclear Theory · Physics 2009-08-26 M. Angeles Perez-Garcia , J. Navarro , A. Polls

The density of states of a quantum system can be calculated from its definition but, in some cases, this approach is quite cumbersome. Alternatively, the density of states can be deduced from the microcanonical entropy or from the canonical…

Quantum Gases · Physics 2023-01-31 L. Salasnich

The large values of the singlet and triplet two-nucleon scattering lengths locate the nuclear system close to the unitary limit. This particular position strongly constrains the low-energy observables in the three-nucleon system as…

Nuclear Theory · Physics 2018-08-22 A. Kievsky , M. Viviani , D. Logoteta , I. Bombaci , L. Girlanda

Properties of inhomogeneous nuclear matter are evaluated within a relativistic mean field approximation using density dependent coupling constants. A parameterization for these coupling constants is presented, which reproduces the…

Nuclear Theory · Physics 2008-11-26 P. Gögelein , E. N. E. van Dalen , C. Fuchs , H. Müther

The nucleon density distributions and the thickness of pure neutron matter in Ca isotopes were systematically studied using the Skyrme-Hartree-Fock model (SHF) from the $\beta$-stability line to the neutron drip-line. The pure neutron…

Nuclear Theory · Physics 2009-11-06 Soojae Im , J. Meng

We generalise the finite range momentum and density dependent Seyler-Blanchard nucleon-nucleon effective interaction to the case of interaction between two baryons. This effective interaction is then used to describe dense hadronic matter…

Nuclear Theory · Physics 2008-11-26 Sarmistha Banik , Debades Bandyopadhyay

The explicit energy dependence of the single particle self-energy (dispersive effects), due to short range correlations, is included in the treatment of neutron matter superfluidity. The method can be applied in general to strong…

Nuclear Theory · Physics 2009-11-06 M. Baldo , A. Grasso

Considering the finite volume of nucleons, a Lagrangian density is given. The first order self-energy of the nucleon and the equation of state of nuclear matter are calculated in the framework of relativistic mean-field approximation. Our…

Nuclear Theory · Physics 2016-08-16 Bao-Xi Sun , Xiao-Fu Lü , En-Guang Zhao

The equation of state (EOS) for nuclear and neutron rich matter is investigated in a Relativistic Mean Field (RMF) model. New shell states are found that minimize the free energy per baryon, calculated in a spherical Wigner-Seitz (WS)…

Nuclear Theory · Physics 2008-11-26 C. J. Horowitz , G. Shen

The equation of state (EOS) for neutron star (NS) crusts is studied in the Thomas-Fermi (TF) approximation using the EOS for uniform nuclear matter obtained by the variational method with the realistic nuclear Hamiltonian. The parameters…

Nuclear Theory · Physics 2010-01-07 H. Kanzawa , M. Takano , K. Oyamatsu , K. Sumiyoshi

A number of recent references have pointed out that an N-particle system having short-range interactions at S-wave and/or P-wave unitarity can exhibit modified threshold behavior for various reactive processes. But the question of how close…

High Energy Physics - Phenomenology · Physics 2025-09-10 Michael D. Higgins , J. Golak , R. Skibinski , K. Topolnicki , H. Witala , H. Kamada , Chris H. Greene

We calculate, for the first time, the state-dependent pairing gap of a finite nucleus (120Sn) diagonalizing the bare nucleon-nucleon potential (Argonne v14) in a Hartree-Fock basis (with effective k-mass m_k eqult to 0.7 m), within the…

Nuclear Theory · Physics 2009-11-10 F. Barranco , R. A. Broglia , G. Colo' , E. Vigezzi , P. F. Bortignon