Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

CRC Press eBooks

On the role of quantum deformation in isovector pairing interactions in nuclei

K. D. Sviratcheva, C. Bahri, J. P. Draayer, A. I. Georgieva

Published Nov 30, 2003• 0 citations
Publisher

Abstract

In this article we consider the physical importance of q deformation in nuclear physics [ 1 ] by considering a q deformed generalization of a classical nuclear theory. The role of the deformation parameter is explored by comparing the non-deformed and deformed results with experimental data. This is accomplished by relating physical quantities, other than the Hamiltonian itself, with generators of the Cartan subalgebra of the principal symmetry group. This is important because the latter do not change as a function of the deformation while the other generators do. In this way the effects of the deformation on the underlying physics are isolated from other changes.

DOI
10.1201/9781482269079-59

Related papers

Physical Significance of q Deformation and Many-Body Interactions in Nuclei

K. D. Sviratcheva, C. Bahri, A. I. Georgieva +1 more

The quantum deformation concept is applied to a study of pairing correlations in nuclei with mass 40< or =A< or =100. While the nondeformed limit of the theory provides a reasonable overall description of certain nuclear properties and fine structure effects, the results show that the q deformation plays a significant role in understanding higher-order effects in the many-body interaction.

arXiv:nucl-th/0703068•Physical Review Letters•Oct 4, 2004•88 citations

Description of nuclear many-body interactions within the framework of quantum deformation theory

E Yaghoubiopour

A fermion realization of compact symplectic algebra provides a natural framework for studying pairing correlations of many-body interactions in nuclei. Here, we use quantum deformation concept in order to describe pairing correlations in atomic nuclei. While the nondeformed limit of the theory provides a reasonable and overall description of certain nuclear properties and fine structure effects, the results show that the q deformation plays a significant role in understanding higher-order effects in the many-body interactions.

Iranian Journal of Physics Research•Nov 15, 2014•0 citations

On the Physical Significance of q-deformation in Many-body Physics

Jerry Paul Draayer, K. D. Sviratcheva, C. Bahri +1 more

A quantum extension of an algebraic sp(4) model is applied to a study of pairing correlations in nuclei with mass 40 ≤ A ≤ 100. While a reasonable overall description of certain nuclear properties is achieved in the nondeformed limit of the theory, the (/-deformation brings forward superior results and plays a significant role in understanding nonlinear effects in many-body physics.

Civil War Book Review•Dec 1, 2006•0 citations

QUANTUM GROUP SU Q(2) AND PAIRING IN NUCLEI

S. Shelly Sharma, Naresh Kumar Sharma

A scheme for treating the pairing of nucleons in terms of generators of Quantum Group SU_{q}(2) is presented. The possible applications to nucleon pairs in a single orbit, multishell case, pairing vibrations and superconducting nuclei are discussed. The formalism for performing BCS calculations with q-deformed nucleon pairs is constructed and the role played by deformation parameter q analyzed in the context of nucleons in a single orbit and for Sn Isotopes.

arXiv:nucl-th/0009048•Feb 1, 2001•0 citations

Quantum algebraic symmetries in nuclear physics

Dennis Bonatsos A, C. Dascaloyannis

The pairing correlations in a single-j nuclear shell are considered. It is proven that a simple boson mapping in terms of q-defonned bosons exists, which reproduces correctly both the commutation relations and the energy up to first order corrections, the parameter q being connected to the size of the shell. An exact solution in terms of a generalized deformed oscillator is also found

HNPS Advances in Nuclear Physics•Dec 5, 2019•0 citations

An interacting particles system revisited in the framework of theq-deformed algebra

Antonio Maria Scarfone, P Narayana Swamy

We discuss the possibility of interpreting a q-deformed non-interacting system as incorporating the effects of interactions among its particles. This can be accomplished, for instance, in an ensemble of $q$-Bosons by means of the virial expansion of a real gas in powers of the deformed parameter. The lowest order virial coefficient reduces to the case of the standard, non-interacting Bose gas, while the higher order virial coefficients contain effects arising from the interaction. The same picture can be drawn in a quantum mechanical system where it is shown that the q-deformed momentum can be expanded in a series contains high-order powers of the standard quantum phase-space variables. Motivated by this result, we introduce, in the classical framework, a transformation relating the momentum of a free system with the momentum of an interacting system. It is shown that the canonical quantization applied to the interacting system imply a q-deformed quantization for the free system.

arXiv:0807.2510•Journal of Physics A Mathematical and Theoretical•Jun 16, 2008•30 citations
In this article we consider the physical importance of q deformation in nuclear physics [ 1 ] by considering a q deformed generalization of a classical nuclear theory. The role of the deformation parameter is explored by comparing the non-deformed and deformed results with experimental data. This is accomplished by relating physical quantities, other than the Hamiltonian itself, with generators of the Cartan subalgebra of the principal symmetry group. This is important because the latter do not change as a function of the deformation while the other generators do. In this way the effects of the deformation on the underlying physics are isolated from other changes.
A fermion realization of compact symplectic algebra provides a natural framework for studying pairing correlations of many-body interactions in nuclei. Here, we use quantum deformation concept in order to describe pairing correlations in atomic nuclei. While the nondeformed limit of the theory provides a reasonable and overall description of certain nuclear properties and fine structure effects, the results show that the q deformation plays a significant role in understanding higher-order effects in the many-body interactions.
We discuss the possibility of interpreting a q-deformed non-interacting system as incorporating the effects of interactions among its particles. This can be accomplished, for instance, in an ensemble of qqq-Bosons by means of the virial expansion of a real gas in powers of the deformed parameter. The lowest order virial coefficient reduces to the case of the standard, non-interacting Bose gas, while the higher order virial coefficients contain effects arising from the interaction. The same picture can be drawn in a quantum mechanical system where it is shown that the q-deformed momentum can be expanded in a series contains high-order powers of the standard quantum phase-space variables. Motivated by this result, we introduce, in the classical framework, a transformation relating the momentum of a free system with the momentum of an interacting system. It is shown that the canonical quantization applied to the interacting system imply a q-deformed quantization for the free system.