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We review the properties of neutron matter in the low-density regime. In particular, we revise its ground state energy and the superfluid neutron pairing gap, and analyze their evolution from the weak to the strong coupling regime. The…

Nuclear Theory · Physics 2021-04-30 Isaac Vidana

Applying a variational multiparticle-multihole configuration mixing method whose purpose is to include correlations beyond the mean field in a unified way without particle number and Pauli principle violations, we investigate pairing-like…

Nuclear Theory · Physics 2008-11-26 N. Pillet , J. -F. Berger , E. Caurier

A nuclear density functional can be used to find the binding energy and shell structure of nuclei and the energy gap in superconducting nuclear matter. In this paper, we study the possible application of a nuclear density functional theory…

Nuclear Theory · Physics 2011-04-08 Yeunhwan Lim

The BCS and HFB theories which can accommodate the pairing correlations in the ground states of atomic nuclei are presented. As an application of the pairing theories, we investigate the spatial extension of weakly bound Ne and C isotopes…

Nuclear Theory · Physics 2015-06-12 H. Sagawa , K. Hagino

The odd-even staggerings (OES) on nuclear binding energies are studied systematically within the covariant density functional (CDF) theories, specifically the relativistic Hartree-Fock-Bogoliubov (RHFB) and the relativistic…

Nuclear Theory · Physics 2019-04-24 Long Jun Wang , Bao Yuan Sun , Jian Min Dong , Wen Hui Long

The possibility of ferromagnetic and antiferromagnetic phase transitions in symmetric nuclear matter is analyzed within the framework of a Fermi liquid theory with the effective Gogny interaction. It is shown that at some critical density…

Nuclear Theory · Physics 2009-11-10 A. A. Isayev , J. Yang

Molecular dynamics (MD) simulation, which is considered an important tool for studying physical and chemical processes at the atomic scale, requires accurate calculations of energies and forces. Although reliable energies and forces can be…

Materials Science · Physics 2021-12-06 Van-Quyen Nguyen , Viet-Cuong Nguyen , Tien-Cuong Nguyen , Tien-Lam Pham

Recently it has been demonstrated, considering Ni and Ca isotopes as prototypes, that the relativistic mean-field plus BCS (RMF+BCS) approach wherein the single particle continuum corresponding to the RMF is replaced by a set of discrete…

Nuclear Theory · Physics 2009-11-10 H. L. Yadav , M. Kaushik , H. Toki

Nowadays, the Gogny force is a referent in the theoretical description of nuclear structure phenomena. Its phenomenological character manifests in a simple analytical form that allows for implementations of techniques both at the mean field…

Nuclear Theory · Physics 2019-05-22 L. M. Robledo , T. R. Rodríguez , R. R. Rodríguez-Guzmán

We present a new exactly solvable Hamiltonian with a separable pairing interaction and non-degenerate single-particle energies. It is derived from the hyperbolic family of Richardson-Gaudin models and possesses two free parameters, one…

Nuclear Theory · Physics 2015-05-30 J. Dukelsky , S. Lerma H. , L. M. Robledo , R. Rodriguez-Guzman , S. M. A. Rombouts

A systematic investigation of even-even superheavy elements in the region of proton numbers $100 \leq Z \leq 130$ and in the region of neutron numbers from the proton-drip line up to neutron number $N=196$ is presented. For this study we…

Nuclear Theory · Physics 2016-04-27 S. E. Agbemava , A. V. Afanasjev , T. Nakatsukasa , P. Ring

We report calculations of the superfluid pairing gap in neutron matter for the $^1S_0$ components of the Reid soft-core $V_6$ and the Argonne $V_{4}'$ two-nucleon interactions. Ground-state calculations have been carried out using the…

Nuclear Theory · Physics 2018-12-18 H. -H. Fan , E. Krotscheck , J. W. Clark

We present an overview of beyond mean field theories (BMFT) based on the generator coordinate method (GCM) and the recovery of symmetries used in nuclear physics with effective forces. After a reminder of the Hartree-Fock-Bogoliubov (HFB)…

Nuclear Theory · Physics 2016-06-15 J. Luis Egido

We investigate the pairing property of nuclear matter with Relativistic Hartree-Bogoliubov(RHB) approach. Recently, the RHB approach has been widely applied to nuclear matter and finite nuclei. We have extended the RHB approach to be able…

Nuclear Theory · Physics 2009-11-07 S. Sugimoto , K. Sumiyoshi , H. Toki

We survey odd-even nuclear binding energy staggering using density functional theory with several treatments of the pairing interaction including the BCS, Hartree-Fock-Bogoliubov, and the Hartree-Fock-Bogoliubov with the Lipkin-Nogami…

Nuclear Theory · Physics 2011-12-02 G. F. Bertsch , C. A. Bertulani , W. Nazarewicz , N. Schunck , M. V. Stoitsov

We analyse how the spatial localisation properties of pairing correlations are changing in a major neutron shell of heavy nuclei. It is shown that the radial distribution of the pairing density depends strongly on whether the chemical…

Nuclear Theory · Physics 2009-11-11 N. Sandulescu , P. Schuck , X. Vinas

A systematic study of nuclear level densities has been carried out within the relativistic Hartree-Bogoliubov plus combinatorial framework. Calculations were performed for even-even nuclei with available experimental data, based on the…

Nuclear Theory · Physics 2026-05-07 Pengxiang Du , Jian Li

Energy Density Functionals are of major interest for the study of the atomic nucleus as, coupled with mean-field and beyond N-body approaches, they are applicable to the whole nuclear chart, including superheavy elements. On the one hand,…

Nuclear Theory · Physics 2026-01-01 G. Zietek , N. Pillet , M. Anguiano , P. Carpentier , N. Dubray , R. N. Bernard , G. Blanchon , D. Regnier

The separation method developed earlier by us [Nucl. Phys. {\bf A598} 390 (1996)] to calculate and analyze solutions of the BCS gap equation for $^1$S$_0$ pairing is extended and applied to $^3$P$_2$--$^3$F$_2$ pairing in pure neutron…

Nuclear Theory · Physics 2008-11-26 V. V. Khodel , V. A. Khodel , J. W. Clark

Background: The study of additional terms in functionals is relevant to better describe nuclear structure phenomenology. Among these terms, the tensor one is known to impact nuclear structure properties, especially in neutron-rich nuclei.…

Nuclear Theory · Physics 2023-03-29 F. Mercier , J. -P. Ebran , E. Khan