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The coupled dynamics of the scissors mode and the isovector giant quadrupole resonance are studied using a generalized Wigner function moments method taking into account pair correlations. Equations of motion for angular momentum,…

Nuclear Theory · Physics 2009-11-13 E. B. Balbutsev , L. A. Malov , P. Schuck , M. Urban , X. Vinyes

We suggest that the number of correlated nucleon pairs in an arbitrary nucleus can be estimated by counting the number of proton-neutron, proton-proton, and neutron-neutron pairs residing in a relative $S$ state. We present numerical…

Nuclear Theory · Physics 2012-10-24 Maarten Vanhalst , Wim Cosyn , Jan Ryckebusch

We study the role of dynamic pairing correlations in fission dynamics by considering intrinsic Hartree-Fock-Bogoliubov wave functions that are obtained by minimizing the particle number projected energy. For the restricted variational…

Nuclear Theory · Physics 2019-06-06 R. Bernard , S. A. Giuliani , L. M. Robledo

A method to visualize many-body correlations using the information of the full wave function is presented. The set of nucleon coordinates which maximizes the square of the wave function, that is, the most probable spatial configuration of…

Nuclear Theory · Physics 2022-07-15 Moemi Matsumoto , Yusuke Tanimura

We consider the proton and neutron quasiparticle orbits around the closed-shell 56Ni and 48Ca isotopes. It is found that large model spaces (beyond the capability of shell-model applications) are necessary for predicting the quenchings of…

Nuclear Theory · Physics 2009-12-07 C. Barbieri

The delta-shell representation of the nuclear force allows a simplified treatment of nuclear correlations. We show how this applies to the Bethe-Goldstone equation as an integral equation in coordinate space with a few mesh points, which is…

Nuclear Theory · Physics 2017-12-06 I. Ruiz Simo , R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

The Hartree-Fock-Bogoliubov (HFB) equations in coordinate representation are solved exactly, i.e., with correct asymptotic boundary conditions for the continuous spectrum. The calculations are preformed with effective Skyrme interactions.…

Nuclear Theory · Physics 2009-11-07 M. Grasso , N. Sandulescu , Nguyen Van Giai , R. J. Liotta

The competition between the isovector (T=1) and isoscalar (T=0) proton-neutron ($p-n$) correlations in $N=Z$ nuclei is investigated by calculating their correlation energies with a realistic effective interaction which reproduces observed…

Nuclear Theory · Physics 2009-11-10 M. Hasegawa , K. Kaneko

We analyse the contribution of isovector and isoscalar proton-neutron pairing to the binding energies of even-even nuclei with $N-Z=0,2,4$ and atomic mass $20 < A <100$. The binding energies are calculated in the mean-field approach by…

Nuclear Theory · Physics 2022-04-06 D. Negrea , N. Sandulescu , D. Gambacurta

We revisit a sudden increase of the isotope shift of the charge radius of Pb isotope at $N>126$ based on a Skyrme Hartree-Fock-Bogoliubov theory. New parametrizations of the pairing interaction optimized for selected four Skyrme…

Nuclear Theory · Physics 2022-04-20 W. Horiuchi , T. Inakura

We have performed tilted-axis-cranked Hartree-Fock-Bogoliubov calculations for a neutron-rich hafnium isotope ($^{182}$Hf) whose proton and neutron numbers are both in the upper shell region. We study whether the shell effects play a role…

Nuclear Theory · Physics 2009-11-07 Makito Oi , Philip M. Walker , Ahmad Ansari

The influence of short-range correlations on the spectral distribution of neutrons is incorporated in the solution of the gap equation for the ${}^3P_2-{}^3F_2$ coupled channel in pure neutron matter. This effect is studied for different…

Nuclear Theory · Physics 2015-02-20 D. Ding , S. J. Witte , W. H. Dickhoff , H. Dussan , A. Rios , A. Polls

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

The neutron and proton odd-even mass differences are studied with Hartree-Fock+BCS (HFBCS) calculations with Skyrme interactions and an isospin dependent contact pairing interaction, which is recently derived from a microscopic…

Nuclear Theory · Physics 2009-09-11 C. A. Bertulani , H. F. Lu , H. Sagawa

Properties of spin polarized isospin asymmetric nuclear matter are studied within the framework of the Brueckner--Hartree--Fock formalism. The single-particle potentials of neutrons and protons with spin up and down are determined for…

Nuclear Theory · Physics 2009-11-07 I. Vidana , I. Bombaci

We study the cooling of isolated neutron stars with particular regard to the importance of nuclear pairing gaps. A microscopic nuclear equation of state derived in the Brueckner-Hartree-Fock approach is used together with compatible neutron…

Nuclear Theory · Physics 2021-02-17 Jin-Biao Wei , Fiorella Burgio , Hans-Josef Schulze

We study the ^{1}S_{0} proton pairing gap in neutron star matter putting emphasis on influence of the Dirac effective mass and the proton fraction on the gap within the relativistic Hartree-Bogoliubov model. The gap equation is solved using…

Nuclear Theory · Physics 2009-11-10 Tomonori Tanigawa , Masayuki Matsuzaki , Satoshi Chiba

The $T$=2 excitations in even-even $N$=$Z$ nuclei are calculated within the isospin cranked mean-field approach. The response of pairing correlations to rotation in isospace is investigated. It is shown that whereas the isovector pairing…

Nuclear Theory · Physics 2009-11-06 W. Satuła , R. Wyss

Atomic nuclei exhibit deformation, pairing correlations, and rotational symmetries. To meet these competing demands in a computationally tractable formalism, we revisit the use of general pair condensates with good particle number as a…

Nuclear Theory · Physics 2022-04-06 Yi Lu , Yang Lei , Calvin W. Johnson , Jia Jie Shen

Ground state properties of carbon isotopes, including root-mean-square radii, neutron separation energies, single particle spectra, and shapes are systematically studied with the deformed relativistic Hartree-Bogoliubov theory in continuum.…

Nuclear Theory · Physics 2021-10-15 Xiang-Xiang Sun , Jie Zhao , Shan-Gui Zhou