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

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Deuteron correlation energy (DCE) of the valence proton-neutron subsystem is evaluated by utilizing a simple three-body model. We focus on the $^6$Li and $^{18}$F nuclei assuming the doubly-closed core and the valence proton and neutron.…

Nuclear Theory · Physics 2017-06-21 Tomohiro Oishi , Lorenzo Fortunato

As a model for a deformed nucleus the many level pairing model (picket fence model with ~100 levels) is considered in four approximations and compared to the exact solution given by Richardson long time ago. It is found that, as usual, the…

Nuclear Theory · Physics 2007-05-23 J. Dukelsky , G. G. Dussel , J. G. Hirsch , P. Schuck

We show that the symmetry-restored paired mean-field states (quasiparticle vacua) properly account for isoscalar versus isovector nuclear pairing properties. Full particle-number, spin, and isospin symmetries are restored in a simple SO(8)…

Nuclear Theory · Physics 2019-06-24 A. M. Romero , J. Dobaczewski , A. Pastore

The fundamental structure of the full set of solutions of the BCS $^3 P_2$ pairing problem in neutron matter is established. The relations between different spin-angle components in these solutions are shown to be practically independent of…

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

We utilize the generalized contact formalism in conjunction with the Woods-Saxon mean-field description of the long-range part of the nuclear wave function to assess the relative prevalence of short-range correlation pairs within atomic…

Nuclear Theory · Physics 2024-07-23 Raz Yankovich , Ehoud Pazy , Nir Barnea

This study presents a systematic investigation of the effects of isospin, including both T=0 and T=/0 components, on nucleon pairing correlations in fp-shell nuclei. To this aim, the interacting boson model-4, which explicitly incorporates…

Nuclear Theory · Physics 2026-05-29 Hossein Emami , Hadi Sabri

The symmetry energy, the neutron pressure and the asymmetric compressibility of deformed neutron-rich even-even nuclei are calculated on the examples of Kr and Sm isotopes within the coherent density fluctuation model using the symmetry…

Nuclear Theory · Physics 2015-06-05 M. K. Gaidarov , A. N. Antonov , P. Sarriguren , E. Moya de Guerra

A model with nucleons in a charge-independent potential well interacting by an isovector pairing force is considered. For a 24-dimensional valence space, the Hartree-Bogolyubov (HB) plus random phase approximation (RPA) to the lowest…

Nuclear Theory · Physics 2014-03-24 I. Bentley , K. Neergård , S. Frauendorf

Neutron scattering on exotic nuclides is a class of processes which can not be studied directly now and in any observable future. Resonance proton scattering of exotic nuclide on a thick target in inverse kinematics can be used to infer the…

Nuclear Theory · Physics 2025-04-22 M. S. Khirk , L. V. Grigorenko , D. E. Lanskoy , P. G. Sharov

We have studied the uncharacteristic behavior of the measured values of the isoscalar and isovector centroid energies, ECEN, of giant resonances with multipolarity L=0-3 in 44Ca, 54Fe, 64,68Zn and 56,58,60,68Ni. For this purpose, we carried…

Nuclear Theory · Physics 2021-04-07 G. Bonasera , S. Shlomo , D. H. Youngblood , Y. -W. Lui , J. Button , X. Chen

We systematically investigate the size evolution of the di-neutron (2n), di-proton (2p), and deuteron (d) in 6He, 14Be, 17B, 6Be, 17Ne, and 6Li using microscopic calculations. Remarkably, all nucleon pairs exhibit a universal size…

Nuclear Theory · Physics 2025-10-23 Qing Zhao , Masaaki Kimura , Bo Zhou , Seung-heon Shin

The nature of the nuclear pairing condensates in heavy nuclei, specifically neutron-proton (spin-triplet), versus identical-particle (spin-singlet) pairing has been an active area of research for quite some time. In this work, we probe…

Nuclear Theory · Physics 2019-01-31 Ermal Rrapaj , A. O. Macchiavelli , Alexandros Gezerlis

We construct a BCS-like model that combines nucleonic pairing correlations and possible quartic correlations of alpha-type in a single variational wave function and derive corresponding gap equations. In the approximation of large…

Nuclear Theory · Physics 2011-09-20 R. A. Sen'kov , V. G. Zelevinsky

We propose a simple quartet condensation model (QCM) which describes with very high accuracy the isovector pairing correlations in self-conjugate nuclei. The quartets have an alpha-like structure and are formed by collective isovector…

Nuclear Theory · Physics 2015-06-04 N. Sandulescu , D. Negrea , J. Dukelsky , C. W. Johnson

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

The $^{66}$Ge and $^{68}$Ge nuclei are studied by means of the shell model with the extended $P+QQ$ Hamiltonian, which succeeds in reproducing experimentally observed energy levels, moments of inertia and other properties. The investigation…

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

Quantum phase transitions between competing ground-state shapes of atomic nuclei with an odd number of protons or neutrons are investigated in a microscopic framework based on nuclear energy density functional theory and the…

Nuclear Theory · Physics 2017-02-17 K. Nomura , T. Nikšić , D. Vretenar

The role of pairing correlations for nucleon pairs with isospin $T=1$ and $T=0$ is investigated for nuclei in the mass region $12 \leq A \leq 42$. For that purpose the two-nucleon densities resulting from nuclear shell-model calculations in…

Nuclear Theory · Physics 2023-06-21 H. Müther , Praveen C. Srivastava

Thermal behavior of isoscalar and isovector proton-neutron (pn) pairing energies at finite temperature are investigated by the shell model calculations. These pn pairing energies can be estimated by double differences of "thermal" energies…

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

Beta-decay properties of proton-rich odd-A and even-even Krypton isotopes are studied in the framework of a deformed selfconsistent Hartree-Fock calculation with density-dependent Skyrme forces, including pairing correlations between like…

Nuclear Theory · Physics 2009-11-07 P. Sarriguren , E. Moya de Guerra , A. Escuderos