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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 describe recent experimental evidence that points to a relation between…

Nuclear Theory · Physics 2015-06-26 A. Belic , D. J. Dean , M. Hjorth-Jensen

The neutron and proton odd-even mass differences are systematically studied with Hartree-Fock+BCS (HFBCS) calculations with Skyrme interactions and an isospin dependent contact pairing interaction. The strength of pairing interactions is…

Nuclear Theory · Physics 2015-06-03 C. A. Bertulani , Hongliang Liu , H. Sagawa

In the present study we generalize the self-consistent Hartree-Fock-Bogoliubov (HFB) theory formulated in the coordinate space to the case which incorporates an arbitrary mixing between protons and neutrons in the particle-hole (p-h) and…

Nuclear Theory · Physics 2009-11-10 E. Perlinska , S. G. Rohozinski , J. Dobaczewski , W. Nazarewicz

Pairing correlation of Cooper pair is a fundamental property of multi-fermion interacting systems. For nucleons, two modes of the Cooper-pair coupling may exist, namely of $S_{12}=0$ with $L_{12}=0$ (spin-singlet s-wave) and $S_{12}=1$ with…

Nuclear Theory · Physics 2021-05-18 Tomohiro Oishi , Goran Kruzic , Nils Paar

Pairing properties of even-even superheavy N=184 isotones are studied within the Skyrme-Hartree-Fock+BCS approach. In the particle-hole channel we take the Skyrme energy density functional SLy4, while in the particle-particle channel we…

Nuclear Theory · Physics 2008-11-26 A. Staszczak , J. Dobaczewski , W. Nazarewicz

The equations of state for symmetric nuclear matter and pure neutron matter are investigated with the tensor-optimized Fermi Sphere method (TOFS) up to the density $\rho=0.5$~fm$^{-3}$. This method is based on a linked-cluster expansion…

Nuclear Theory · Physics 2024-03-19 Taiichi Yamada

The saturation density of nuclear matter $\rho_0$ is a fundamental nuclear physics property that is difficult to predict from fundamental principles. The saturation density is closely related to the interior density of a heavy nucleus, such…

Nuclear Theory · Physics 2020-10-21 C. J. Horowitz , J. Piekarewicz , Brendan Reed

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

We study 1S0 pairing gaps in neutron and nuclear matter as well as in finite nuclei on the basis of microscopic two-nucleon interactions. Special attention is paid to the consistency of the pairing interaction and normal self-energy…

Nuclear Theory · Physics 2009-10-29 K. Hebeler , T. Duguet , T. Lesinski , A. Schwenk

Based on the relativistic Hartree-Bogoliubov theory, the influence of the pairing interaction strength on the di-neutron correlations and the crossover from superfluidity of neutron Cooper pairs in the $^{1}S_{0}$ channel to Bose-Einstein…

Nuclear Theory · Physics 2012-07-05 Ting Ting Sun , Bao Yuan Sun , Jie Meng

A systematic global investigation of pairing properties based on all available experimental data on pairing indicators has been performed for the first time in the framework of covariant density functional theory. It is based on separable…

Nuclear Theory · Physics 2021-11-17 S. Teeti , A. V. Afanasjev

A new method to calculate level densities for non-interacting Fermions within the constant-spacing model with a finite number of states is developed. We show that asymptotically (for large numbers of particles or holes) the densities have…

Nuclear Theory · Physics 2013-01-08 Adriana Pálffy , Hans A. Weidenmüller

Calculations of the superfluid density in the inner crust of neutron stars by different approaches are in strong disagreement, which causes a debate on the accountability of pulsar glitches based on superfluidity. Taking a simple unified…

Nuclear Theory · Physics 2023-11-15 Yuki Minami , Gentaro Watanabe

The nuclear symmetry energy is defined by the second derivative of the energy per nucleon with respect to the proton-neutron asymmetry, and is sometimes approximated by the energy difference between the neutron matter and the symmetric…

Nuclear Theory · Physics 2017-04-24 Y. Tsukioka , H. Nakada

A set of moderately deformed $s-d$ shell nuclei is employed for testing the reliability of the nuclear ground state wave functions which are obtained in the context of a BCS approach and offer a simultaneous consideration of deformation and…

Nuclear Theory · Physics 2009-11-11 Ch. C. Moustakidis , T. S. Kosmas , F. Simkovic , Amand Faessler

The application of the Correlated basis function theory and of the Fermi hypernetted chain technique, to the description of the ground state of medium-heavy nuclei is reviewed. We discuss how the formalism, originally developed for…

Nuclear Theory · Physics 2019-08-14 F. Arias de Saavedra , C. Bisconti , G. Co' , A. Fabrocini

Nucleons are known to form pairing correlations with various types of spin-symmetries. Spin-singlet neutron-neutron and proton-proton pairing is abundant in the nuclear chart but spin-triplet and mixed-spin proton-neutron pairing…

Nuclear Theory · Physics 2025-08-29 G. Palkanoglou , A. Gezerlis

Brueckner-Hartree-Fock theory allows to derive the $G$-matrix as an effective interaction between nucleons in the nuclear medium. It depends on the center of mass momentum $\bm{P}$ of the two particles and on the two relative momenta…

Nuclear Theory · Physics 2018-11-14 Hui Tong , Xiu-Lei Ren , Peter Ring , Shi-Hang Shen , Si-Bo Wang , Jie Meng

Utilizing various astrophysical constraints on neutron star structures, we carry out a Bayesian analysis on the density-dependent behaviors of coupling constants in RMF models as well as the nuclear matter properties at supranuclear…

Nuclear Theory · Physics 2024-11-12 Cheng-Jun Xia , Wen-Jie Xie , Mohemmedelnazier Bakhiet

Recently we proposed a particle-number-conserving theory for nuclear pairing [Jia, Phys. Rev. C 88, 044303 (2013)] through the generalized density matrix formalism. The relevant equations were solved for the case when each single-particle…

Nuclear Theory · Physics 2015-12-09 L. Y. Jia