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

Iranian Journal of Physics Research

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

E Yaghoubiopour

Published Nov 15, 2014• 0 citations
OpenAlex

Abstract

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.

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

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

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

K. D. Sviratcheva, C. Bahri, J. P. Draayer +1 more

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.

CRC Press eBooks•Nov 30, 2003•0 citations

Quantum Algebras in Nuclear Structure

Dennis Bonatsos A, C. Daskaloyannis, P. Kolokotronis +1 more

Quantum algebras are a mathematical tool which provides us with a class of symmetries wider than that of Lie algebras, which are contained in the former as a special case. After a self-contained introduction to the necessary mathematical tools ($q$-numbers, $q$-analysis, $q$-oscillators, $q$-algebras), the su$_q$(2) rotator model and its extensions, the construction of deformed exactly soluble models (Interacting Boson Model, Moszkowski model), the use of deformed bosons in the description of pairing correlations, and the symmetries of the anisotropic quantum harmonic oscillator with rational ratios of frequencies, which underly the structure of superdeformed and hyperdeformed nuclei, are discussed in some detail. A brief description of similar applications to molecular structure and an outlook are also given.

arXiv:nucl-th/9512017•Romanian Journal of Physics•Dec 12, 1995•5 citations

Many-Body Correlations in Nuclei and Quantum Dots

David J. Dean

Confined quantum many-body systems of a given particle number exhibit a variety of intrinsic shape characteristics as a function of increasing external field and internal thermal excitation. The shell model is an important tool for the theoretical description of these various structures and transitions in nuclei. Another system in which correlations beyond the mean field may play an important role is semiconductor quantum dots. In this Proceedings, the author compares nuclei and quantum dots and their various deformation properties. The author reports on shell-model calculations in nuclei and some recent mean-field calculations of the thermal properties of quantum dots.

•Aug 31, 2001•0 citations

Study of nuclear structure by using many-body theory

Nguyễn Quang Hưng

Atomic nucleus consists of nucleons (protons and neutrons) interacting each other with the so-called nucleon-nucleon (NN) forces. The structure of atomic nucleus can be studied via many-body theories. Some of them are the well-known random-phase approximation (RPA) and/or the Bardeen-Cooper-Schrieffer (BCS) theory. These theories produce very well the properties of infinite systems such as superconductors, where the quantal and thermal fluctuations are zero or very small. However, our recent studies have shown that these fluctuations are significant in finite systems such as atomic nuclei. As the result, the physical properties of nuclear systems are changed due to the effects of quantal and thermal fluctuations. Therefore, the conventional many body theories need to be modified to include the effects of these fluctuations when they are applied to atomic nucleus. Recently, we have proposed a self-consistent quasiparticle RPA (SCQRPA) taking into account the effects of quantal and thermal fluctuations. The SCQRPA has been tested and the results obtained are in reasonable agreements with the exact solutions of the model cases as well as those obtained within the quantum Monte-Carlo method for realistic nuclei.

•Jan 1, 2011•0 citations
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.
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.
Quantum algebras are a mathematical tool which provides us with a class of symmetries wider than that of Lie algebras, which are contained in the former as a special case. After a self-contained introduction to the necessary mathematical tools (qqq-numbers, qqq-analysis, qqq-oscillators, qqq-algebras), the suq_qq​(2) rotator model and its extensions, the construction of deformed exactly soluble models (Interacting Boson Model, Moszkowski model), the use of deformed bosons in the description of pairing correlations, and the symmetries of the anisotropic quantum harmonic oscillator with rational ratios of frequencies, which underly the structure of superdeformed and hyperdeformed nuclei, are discussed in some detail. A brief description of similar applications to molecular structure and an outlook are also given.
Confined quantum many-body systems of a given particle number exhibit a variety of intrinsic shape characteristics as a function of increasing external field and internal thermal excitation. The shell model is an important tool for the theoretical description of these various structures and transitions in nuclei. Another system in which correlations beyond the mean field may play an important role is semiconductor quantum dots. In this Proceedings, the author compares nuclei and quantum dots and their various deformation properties. The author reports on shell-model calculations in nuclei and some recent mean-field calculations of the thermal properties of quantum dots.
Atomic nucleus consists of nucleons (protons and neutrons) interacting each other with the so-called nucleon-nucleon (NN) forces. The structure of atomic nucleus can be studied via many-body theories. Some of them are the well-known random-phase approximation (RPA) and/or the Bardeen-Cooper-Schrieffer (BCS) theory. These theories produce very well the properties of infinite systems such as superconductors, where the quantal and thermal fluctuations are zero or very small. However, our recent studies have shown that these fluctuations are significant in finite systems such as atomic nuclei. As the result, the physical properties of nuclear systems are changed due to the effects of quantal and thermal fluctuations. Therefore, the conventional many body theories need to be modified to include the effects of these fluctuations when they are applied to atomic nucleus. Recently, we have proposed a self-consistent quasiparticle RPA (SCQRPA) taking into account the effects of quantal and thermal fluctuations. The SCQRPA has been tested and the results obtained are in reasonable agreements with the exact solutions of the model cases as well as those obtained within the quantum Monte-Carlo method for realistic nuclei.