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arXiv:nucl-th/0703068 · Physical Review Letters

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

K. D. Sviratcheva, C. Bahri, A. I. Georgieva, Jerry Paul Draayer

Published Oct 4, 2004• 88 citations
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Abstract

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.

DOI
10.1103/physrevlett.93.152501

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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.
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.
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.
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.