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Related papers: q-deformed pairing-vibrations

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The quantum deformation concept is applied to a study of isovector pairing correlations in nuclei of the mass 40<A<100 region. While the non-deformed (q -> 1) limit of the theory provides a reasonable global estimate for strength parameters…

Nuclear Theory · Physics 2007-05-23 K. D. Sviratcheva , C. Bahri , A. I. Georgieva , J. P. Draayer

In addition to shape oscillations, low-energy excitation spectra of deformed nuclei are also influenced by pairing vibrations. The simultaneous description of these collective modes and their coupling has been a long-standing problem in…

Nuclear Theory · Physics 2021-05-26 K. Nomura , D. Vretenar , Z. P. Li , J. Xiang

We construct a coherent state of q-deformed zero coupled nucleon pairs distributed in several single-particle orbits. Using a variational approach, the set of equations of qBCS theory, to be solved self consistently for occupation…

Nuclear Theory · Physics 2009-11-06 S. Shelly Sharma , N. K. Sharma

Just as for the ordinary quantum harmonic oscillators, we expect the zero-point energy to play a crucial role in the correct high temperature behavior. We accordingly reformulate the theory of the statistical distribution function for the…

Quantum Physics · Physics 2007-05-23 P. Narayana Swamy

Low-energy vibrational excitations associated with the fluctuation of quadrupole deformed shapes are discussed within the frame of state-of-the-art Configuration Interaction calculations, actually performed via the Quasi-particle Vacua…

Nuclear Theory · Physics 2025-07-30 Y. Tsunoda , T. Otsuka , N. Shimizu , T. Duguet , Y. Utsuno , T. Abe

The quantum deformation concept is applied to a study of pairing correlations in nuclei with mass 40<A<100. While the nondeformed limit of the theory provides a reasonable overall description of certain nuclear properties and fine structure…

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

Low-frequency quadrupole vibrations in deformed ${}^{36,38,40}$Mg are studied by means of the deformed Quasiparticle-RPA based on the coordinate-space Hartree-Fock-Bogoliubov formalism. Strongly collective $K^{\pi}=0^{+}$ and $2^{+}$…

Nuclear Theory · Physics 2007-05-23 Kenichi Yoshida , Masayuki Yamagami , Kenichi Matsuyanagi

We discuss properties of the quadrupole collective excitation of the deformed neutron-rich nucleus $^{38}$Mg within the framework of quasi-particle random phase approximation (QRPA). We first solve the coupled-channels equations to obtain…

Nuclear Theory · Physics 2015-06-26 K. Hagino , Nguyen Van Giai , H. Sagawa

In the study of many-particle systems both the interaction of particles can be essential and such feature as their internal (composite) structure. To describe these aspects, the theory of deformed oscillators is very efficient. Viewing the…

Statistical Mechanics · Physics 2012-11-26 A. M. Gavrilik , A. P. Rebesh

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…

Nuclear Theory · Physics 2017-08-23 S. Shelly Sharma , N. K. Sharma

We present a calculation of the properties of vibrational states in deformed, axially--symmetric even--even nuclei, within the framework of a fully self--consistent Quasparticle Random Phase Approximation (QRPA). The same Skyrme energy…

Nuclear Theory · Physics 2011-02-28 C. Losa , A. Pastore , T. Dossing , E. Vigezzi , R. A. Broglia

A method to implement realistic nucleon-nucleon residual interaction (Bonn CD force) based on the Brueckner G-matrix into the Quasiparticle Random Phase Approximation (QRPA) for deformed nuclei is formulated. The two-neutrino double decay…

Nuclear Theory · Physics 2009-02-18 Mohamed Saleh Yousef , Vadim Rodin , Amand Faessler , Fedor Simkovic

We investigate effects of pairing and of quadrupole deformation on two sorts of nuclear excitations,$\gamma$-vibrational $K^{\pi}=2^+$ states and dipole resonances (isovector dipole, pygmy, compression, toroidal). The analysis is performed…

Nuclear Theory · Physics 2017-11-21 A. Repko , J. Kvasil , V. O. Nesterenko , P. -G. Reinhard

Basic idea presented in Parts (I)-(III) for the deformed boson scheme is applied to the case of the su(2)- and su(1,1)-algebras for describing many-body systems consisting of four kinds of boson operators. A possible form of the coherent…

Nuclear Theory · Physics 2007-05-23 A. Kuriyama , C. Providencia , J. da Providencia , Y. Tsue , M. Yamamura

Collective nuclear excitations, like giant resonances, are sensitive to nuclear deformation, as evidenced by alterations in their excitation energies and transition strength distributions. A common theoretical framework to study these…

Nuclear Theory · Physics 2024-04-23 A. Ravlić , T. Nikšić , Y. F. Niu , P. Ring , N. Paar

Low-frequency quadrupole vibrational modes in deformed $^{36,38,40}$Mg close to the neutron drip line are studied by means of the quasiparticle-random-phase approximation based on the coordinate-space Hartree-Fock-Bogoliubov formalism.…

Nuclear Theory · Physics 2007-05-23 K. Yoshida , M. Yamagami , K. Matsuyanagi

A many-body Hamiltonian describing a system of Z protons and N neutrons moving in spherical shell model mean field and interacting among themselves through proton-proton and neutron-neutron pairing and a dipole-dipole proton-neutron…

Nuclear Theory · Physics 2009-02-18 C. M. Raduta , A. A. Raduta

We discuss how a q-mutation relation can be deformed replacing a pair of conjugate operators with two other and unrelated operators, as it is done in the construction of pseudo-fermions, pseudo-bosons and truncated pseudo-bosons. This…

Mathematical Physics · Physics 2017-07-05 Fabio Bagarello

In this paper we show that the proton-neutron residual interaction can play an important role in the reliability of calculated $\beta$-decay half-lives. It may also improve the prediction power of the quasiparticle random phase…

Nuclear Theory · Physics 2025-05-14 Jameel-Un Nabi , Mavra Ishfaq

A fermion realization of the compact symplectic sp(4) algebra provides a natural framework for studying isovector pairing correlations in nuclei. While these correlations manifest themselves most clearly in the binding energies of 0^+…

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