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Related papers: Semi-microscopic model of pairing in nuclei

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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

The pairing properties of nuclear systems are a sensitive probe of the effective nucleon-nucleon interactions. We compare the 1S0 pairing gaps in nuclear and neutron matter derived from the phenomenological Gogny interaction and a…

Nuclear Theory · Physics 2015-06-26 Armen Sedrakian , T. T. S. Kuo , Herbert Müther , Peter Schuck

A system of equations is obtained for the Cooper gap in nuclei. The system takes two mechanisms of superfluidity into account in an approximation quadratic in the phonon- production amplitude : a Bardeen- Cooper- Schrieffer (BCS) type…

Nuclear Theory · Physics 2009-11-06 A. V. Avdeenkov , S. P. Kamerdzhiev

The separation method developed earlier by us [Nucl. Phys. {\bf A598} 390 (1996)] to calculate and analyze solutions of the BCS gap equation for $^1$S$_0$ pairing is extended and applied to $^3$P$_2$--$^3$F$_2$ pairing in pure neutron…

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

We study a mixture of s-bosons and like-nucleon pairs with the standard pairing interaction outside a inert core. Competition between the nucleon-pairs and s-bosons is investigated in this scenario. The robustness of the BCS-BEC coexistence…

Nuclear Theory · Physics 2017-04-20 Lianrong Dai , Feng Pan , Jerry P. Draayer

We discuss the spatial structure of the Cooper pair in dilute neutron matter and neutron-rich nuclei by means of the BCS theory and the Skyrme-Hartree-Fock-Bogioliubov model, respectively. The neutron pairing in dilute neutron matter is…

Nuclear Theory · Physics 2017-08-23 Masayuki Matsuo

The exploration of the non-perturbative regime of QCD, that is the low-energy portion of the hadron spectrum, requires the adoption of theoretical methods more frequently applied to other, more conventional, quantum many body systems, like…

Nuclear Theory · Physics 2021-09-01 Tochtli Yepez-Martinez , Peter O. Hess , Osvaldo Civitarese

We explore isospin mixing beyond that due to the Coulomb interaction in the framework of an exactly solvable microscopic sp(4) algebraic approach. Specifically, we focus on the isospin non-conserving part of the pure nuclear pairing…

Nuclear Theory · Physics 2008-11-26 K. D. Sviratcheva , A. I. Georgieva , J. P. Draayer

Following a brief reminder of how the pairing model can be solved exactly, we describe how this can be used to address two interesting issues in nuclear structure physics. One concerns the mechanism for realizing superconductivity in finite…

Nuclear Theory · Physics 2017-08-23 S. Pittel , J. Dukelsky

In order to analyse the role of the quasiparticle-phonon interaction in the origin of nuclear gap, we applied an approach which is similar to the Eliashberg theory for usual superconductors. We obtained that the averaged contribution of the…

Nuclear Theory · Physics 2017-08-23 A. V. Avdeenkov , S. P. Kamerdzhiev

Using ideas from BCS descriptions of systems of fermions, a covariant extension of the relativistic Fermi gas model is presented as a way to incorporate correlation effects in nuclei. The model is developed for the BCS nuclear ground state…

Nuclear Theory · Physics 2010-01-22 M. B. Barbaro , R. Cenni , T. W. Donnelly , A. Molinari

We present a concrete model of a low energy effective field theory of QCD, the well-known Skyrme Model. Specifically, we will work with the BPS submodel in order to describe the binding energies of nuclei. This BPS Skyrme model is…

High Energy Physics - Theory · Physics 2014-12-05 C. Adam , C. Naya , J. Sanchez-Guillen , J. M. Speight , R. Vazquez , A. Wereszczynski

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 simple and efficient method to treat nuclear pairing correlations within a simple Hartree-Fock--plus-BCS description is proposed and discussed. It relies on the fact that the intensity of pairing correlations depends crucially on level…

Nuclear Theory · Physics 2024-09-18 Meng-Hock Koh , Philippe Quentin

We analyze the accuracy of BCS-based approximations for calculating correlation energies and odd-even energy differences in 2-component fermionic systems with a small number of pairs. The analysis is focused on comparing BCS and projected…

Nuclear Theory · Physics 2009-01-16 N. Sandulescu , G. F. Bertsch

We calculate, for the first time, the state-dependent pairing gap of a finite nucleus (120Sn) diagonalizing the bare nucleon-nucleon potential (Argonne v14) in a Hartree-Fock basis (with effective k-mass m_k eqult to 0.7 m), within the…

Nuclear Theory · Physics 2009-11-10 F. Barranco , R. A. Broglia , G. Colo' , E. Vigezzi , P. F. Bortignon

The nature of pairing correlations in neutron matter is re-examined. Working within the conventional approximation in which the $nn$ pairing interaction is provided by a realistic bare $nn$ potential fitted to scattering data, it is…

Nuclear Theory · Physics 2015-06-17 V. A. Khodel , J. W. Clark , V. R. Shaginyan , M. V. Zverev

A theoretical methodology for exploring the conventional Bardeen-Cooper-Schrieffer (BCS) pairing instability for superconductivity from a correlated normal phase for all possible degrees of many-body correlation, has been developed. The…

Superconductivity · Physics 2021-02-24 Koushik Mandal , Ranjan Chaudhury

Surface properties of neutron-neutron (T=1) pairing in semi-infinite nuclear matter in a hard wall potential are investigated in BCS approximation using the Gogny force. Surface enhancement of the gap function, pairing tensor and…

Nuclear Theory · Physics 2009-10-31 M. Farine , P. Schuck

We present a new semi-classical theory for describing pairing in finite Fermi systems. It is based in taking the $\hbar \to 0$, i.e. Thomas-Fermi, limit of the gap equation written in the basis of the mean field (weak coupling). In addition…

Nuclear Theory · Physics 2015-05-20 X. Vinas , P. Schuck , M. Farine