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Nuclear pairing interaction plays a crucial role in both macroscopic-microscopic and fully macroscopic descriptions of nuclei. In the present study we discuss different pairing interactions (monopole and delta pairing forces) and the…

Nuclear Theory · Physics 2008-11-26 A. Baran , Z. Lojewski , K. Sieja

We investigate unbound single-particle states in pair-correlated drip-line nuclei by describing a low-energy elastic scattering of a neutron in the $s$-wave within the framework of the coordinate space Hartree-Fock-Bogolibov (Bogoliubov-de…

Nuclear Theory · Physics 2019-10-23 Yoshihiko Kobayashi , Masayuki Matsuo

Rapidly rotating nuclei provide us good testing grounds to study the pairing correlations; in fact, the transition from the superfluid to the normal phase is realized at high-spin states. The role played by the pairing correlations is quite…

Nuclear Theory · Physics 2017-08-23 Yoshifumi R. Shimizu

Superconducting nanodevices such as qubits, resonators, and photodetectors, have revolutionized our capabilities for probing and controlling quantum phenomena. Nonequilibrium quasiparticles, which are broken Cooper pairs that cause…

Mesoscale and Nanoscale Physics · Physics 2025-12-08 Clare C. Yu , M. C. Goffage , Yifan Wang , A. Alase , M. C. Cassidy , S. N. Coppersmith

Our previous investigation within the time-dependent nuclear energy-density functional theory showed that the nuclear superfluids contained inside cold neutron stars could become gapless under certain circumstances. The absence of a gap in…

Nuclear Theory · Physics 2025-06-13 Valentin Allard , Nicolas Chamel

We present an overview of the Hartree-Fock-Bogoliubov (HFB) theory of nucleonic superfluidity for finite nuclei. After introducing basic concepts related to pairing correlations, we show how the correlated pairs are incorporated into the…

Nuclear Theory · Physics 2017-08-23 J. Dobaczewski , W. Nazarewicz

By applying the particle-number projection to the finite-temperature BCS theory, the $S$-shaped heat capacity, which has recently been claimed to be a fingerprint of the superfluid-to-normal phase transition in nuclei, is reexamined. It is…

Nuclear Theory · Physics 2009-11-11 K. Esashika , H. Nakada , K. Tanabe

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

We show that the Nambu-Goldstone formalism of the broken gauge symmetry in the presence of the $T=1$ pairing condensate offers a quantitative description of the binding-energy differences of open-shell superfluid nuclei. We conclude that…

Nuclear Theory · Physics 2016-04-15 Nobuo Hinohara , Witold Nazarewicz

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

Reconnections between quantum vortex filaments in presence of trapped particles are investigated using numerical simulations of the Gross--Pitaevskii equation. Particles are described with classical degrees of freedom and modeled as highly…

Fluid Dynamics · Physics 2020-09-18 Umberto Giuriato , Giorgio Krstulovic

The properties of the pairing interaction in the shell model framework are considered with the aid of the exact numerical solution utilizing the quasispin symmetry. We emphasize the features which are out of reach for the usual approximate…

Nuclear Theory · Physics 2009-11-07 Alexander Volya , Vladimir Zelevinsky , B. Alex Brown

In a recent paper we studied the behavior of the pairing gaps $\Delta_F$ as a function of the Fermi momentum $k_F$ for neutron and nuclear matter in all relevant angular momentum channels where superfluidity is believed to naturally emerge.…

Nuclear Theory · Physics 2014-12-01 P. Finelli , S. Maurizio , J. W. Holt

The question about the existence of Bogoliubov's quasiparticles in the BCS wave functions underneath Gutzwiller's projection is of importance to strongly correlated systems. We develop a method to examine the two-particle excitations of…

Strongly Correlated Electrons · Physics 2015-06-15 Chung-Pin Chou

We investigated the superfluid properties of the inner crust of neutron stars, solving the Hartree-Fock-Bogoliubov equations in spherical Wigner-Seitz cells. Using realistic two-body interactions in the pairing channel, we studied in detail…

Nuclear Theory · Physics 2013-05-29 Alessandro Pastore , Simone Baroni , Cristina Losa

The inclusive quasielastic response functions that appear in the scattering of polarized electrons from polarized nuclei are computed and analyzed for several closed-shell-minus-one nuclei with special attention paid to 39K. Results are…

Nuclear Theory · Physics 2008-11-26 J. E. Amaro , J. A. Caballero , T. W. Donnelly , E. Moya de Guerra

At nonzero temperatures, superconductors contain excitations known as Bogoliubov quasiparticles. The mesoscopic dynamics of quasiparticles inform the design of quantum information processors, among other devices. Knowledge of these dynamics…

Several pairing schemes currently used to describe superfluid nuclei through Hartree-Fock-Bogolyubov (HFB) calculations are briefly reviewed. We put a particular emphasis on the regularization recipes used in connection with zero-range…

Nuclear Theory · Physics 2007-05-23 T. Duguet , K. Bennaceur , P. Bonche

We discuss several pairing-related phenomena in nuclear systems, ranging from superfluidity in neutron stars to the gradual breaking of pairs in finite nuclei. We focus on the links between many-body pairing as it evolves from the…

Nuclear Theory · Physics 2008-11-26 D. J. Dean , M. Hjorth-Jensen

Predictions of the spectroscopic properties of low-lying states are critical for nuclear structure studies, but are problematic for nuclei with an odd nucleon due to the interplay of the unpaired single particle with nuclear collective…

Nuclear Theory · Physics 2017-12-06 S. Quan , W. P. Liu , Z. P. Li , M. S. Smith