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Related papers: Proton-neutron pairing in the deformed BCS approac…

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The isoscalar proton-neutron pairing and isovector pairing, including both isovector proton-neutron pairing and like-particle pairing, are treated in a formalism which conserves exactly the particle number and the isospin. The formalism is…

Nuclear Theory · Physics 2015-07-16 N. Sandulescu , D. Negrea , D. Gambacurta

We investigate the effects of neutron-neutron (nn), proton-proton (pp) and proton-neutron (pn) pairing correlations on the ground-states of $N = Z$ even-even $pf$-shell nuclei by using an axially symmetric deformed Hartree-Fock…

Nuclear Theory · Physics 2025-07-25 Xin Lian , C. L. Bai , H. Sagawa , H. Q. Zhang

Unlike their lighter counterparts, most odd-odd N=Z nuclei with mass A > 40 40 have ground states with isospin T=1, suggesting an increased role for the isovector pairing interaction. A simple SO(5) seniority-like model of this interaction…

Nuclear Theory · Physics 2008-11-26 J. Engel , K. Langanke , P. Vogel

A model combining self-consistent mean-field and shell-model techniques is used to study the competition between particle like and proton-neutron pairing correlations in fp-shell even-even self-conjugate nuclei. Results obtained using…

Nuclear Theory · Physics 2015-06-23 D. Gambacurta , D. Lacroix

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

The particle number projected BCS (PBCS) approximation is tested against the exact solution of the SO(5) Richardson-Gaudin model for isovector pairing in a system of non-degenerate single particle orbits. Two isovector PBCS wave functions…

Nuclear Theory · Physics 2009-11-05 N. Sandulescu , B. Errea , J. Dukelsky

The long standing problem of proton-neutron pairing and, in particular, the limitations imposed on the solutions by the available symmetries, is revisited. We look for solutions with non-vanishing expectation values of the proton, the…

Nuclear Theory · Physics 2009-10-31 D. R. Bes , O. Civitarese , E. E. Maqueda , N. N. Scoccola

We investigate the BCS treatment of neutron-proton pairing involving time-reversed orbits. We conclude that an isospin-symmetric hamiltonian, treated with the help of the generalized Bogolyubov transformation, fails to describe the ground…

Nuclear Theory · Physics 2008-11-26 O. Civitarese , M. Reboiro , P. Vogel

We use shell model techniques in the complete pf shell to study pair correlations in nuclei. Particular attention is paid to the competition of isoscalar and isovector proton-neutron pairing modes which is investigated in the odd-odd N=Z…

Nuclear Theory · Physics 2009-10-31 G. Martinez-Pinedo , K. Langanke , P. Vogel

Neutron-proton (np-) pairing is expected to play an important role in the N Z nuclei. In general, it can have isovector and isoscalar character. The existence of isovector np-pairing is well established. On the contrary, it is still debated…

Nuclear Theory · Physics 2017-08-23 A. V. Afanasjev

We study the isoscalar (T=0) and isovector (T=1) pairing correlations in N=Z nuclei. They are estimated from the double difference of binding energies for odd-odd N=Z nuclei and the odd-even mass difference for the neighboring odd-mass…

Nuclear Theory · Physics 2009-11-10 Kazunari Kaneko , Munetake Hasegawa

We propose a particle number conserving formalism for the treatment of isovector-isoscalar pairing in nuclei with $N>Z$. The ground state of the pairing Hamiltonian is described by a quartet condensate to which is appended a pair condensate…

Nuclear Theory · Physics 2018-12-26 D. Negrea , P. Buganu , D. Gambacurta , N. Sandulescu

The role of neutron-proton pairing correlations on the structure of nuclei along the $N=Z$ line is reviewed. Particular emphasis is placed on the competition between isovector ($T=1$) and isoscalar $(T=0$) pair fields. The expected…

Nuclear Theory · Physics 2014-09-19 Stefan Frauendorf , Augusto O. Macchiavelli

We show that the correlations generated in the ground state of $N=Z$ nuclei by the isovector and isoscalar pairing forces can be treated with high precision as a condensate of alpha-like quartets. To treat these correlations, the quartet…

Nuclear Theory · Physics 2016-06-22 M. Sambataro , N. Sandulescu

A shell-model study of proton-neutron pairing in f - p shell nuclei using a parametrized hamiltonian that includes deformation and spin-orbit effects as well as isoscalar and isovector pairing is reported. By working in a shell-model…

Nuclear Theory · Physics 2015-05-18 Lei Yang , S. Pittel , B. Thakur , N. Sandulescu , A. Poves , Yu-Min Zhao

We perform Shell Model Monte Carlo calculations to study pair correlations in the ground states of $N=Z$ nuclei with masses A=48-60. We find that $T=1$, $J^{\pi}=0^+$ proton-neutron correlations play an important, and even dominant role, in…

Nuclear Theory · Physics 2009-10-30 K. Langanke , D. J. Dean , S. E. Koonin , P. B. Radha

A shell-model study of proton-neutron pairing in $2p1f$ shell nuclei using a parametrized hamiltonian that includes deformation and spin-orbit effects as well as isoscalar and isovector pairing is reported. By working in a shell-model…

Nuclear Theory · Physics 2015-05-28 Y. Lei , S. Pittel , N. Sandulescu , A. Poves , B. Thakur , Y. M. Zhao

We investigate the impact of isovector and isoscalar proton-neutron pairing correlations on the ground-state properties of even-even N=Z nuclei with mass numbers between A=16 and A=120. Nuclear mean fields are generated using the…

Nuclear Theory · Physics 2026-03-27 T. Popa , N. Sandulescu , D. Gambacurta

We study the isospin-singlet neutron-proton pairing in bulk nuclear matter as a function of density and isospin asymmetry within the BCS formalism. In the high-density, weak-coupling regime the neutron-proton paired state is strongly…

Nuclear Theory · Physics 2009-11-07 U. Lombardo , P. Nozieres , P. Schuck , H. -J. Schulze , A. Sedrakian

Precision measurements were carried out to test the similarities between the ground states of 76Ge and 76Se. The extent to which these two nuclei can be characterized as consisting of correlated pairs of neutrons in a BCS-like ground state…

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