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Title: A microscopic derivation of nuclear collective rotation-vibration model and its application to nuclei

Abstract

We derive a microscopic version of the successful phenomenological hydrodynamic model of Bohr-Davydov-Faessler-Greiner for collective rotation-vibration motion of an axially symmetric deformed nucleus. The derivation is not limited to small oscillation amplitude. The nuclear Schrodinger equation is canonically transformed to collective co-ordinates, which is then linearized using a constrained variational method. The associated constraints are imposed on the wavefunction rather than on the particle co-ordinates. The approach yields three self-consistent, time-reversal invariant, cranking-type Schrodinger equations for the rotation-vibration and intrinsic motions, and a self-consistency equation. For harmonic oscillator mean-field potentials, these equations are solved in closed forms for excitation energy, cut-off angular momentum, and other nuclear properties for the ground-state rotational band in some deformed nuclei. The results are compared with measured data.

Authors:
 [1]
  1. NUTECH Services, 3313 Fenwick Crescent, Mississauga, Ontario, L5L 5N1 (Canada)
Publication Date:
OSTI Identifier:
22608492
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1753; Journal Issue: 1; Conference: Latin American symposium on nuclear physics and applications, Medellin (Colombia), 30 Nov - 4 Dec 2015; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; AXIAL SYMMETRY; DEFORMED NUCLEI; EXCITATION; GROUND STATES; HARMONIC OSCILLATORS; HYDRODYNAMIC MODEL; MEAN-FIELD THEORY; NUCLEAR PROPERTIES; OSCILLATIONS; ROTATION; ROTATIONAL STATES; ROTATION-VIBRATION MODEL; SCHROEDINGER EQUATION; VARIATIONAL METHODS; WAVE FUNCTIONS

Citation Formats

Gulshani, P., E-mail: matlap@bell.net. A microscopic derivation of nuclear collective rotation-vibration model and its application to nuclei. United States: N. p., 2016. Web. doi:10.1063/1.4955344.
Gulshani, P., E-mail: matlap@bell.net. A microscopic derivation of nuclear collective rotation-vibration model and its application to nuclei. United States. doi:10.1063/1.4955344.
Gulshani, P., E-mail: matlap@bell.net. Thu . "A microscopic derivation of nuclear collective rotation-vibration model and its application to nuclei". United States. doi:10.1063/1.4955344.
@article{osti_22608492,
title = {A microscopic derivation of nuclear collective rotation-vibration model and its application to nuclei},
author = {Gulshani, P., E-mail: matlap@bell.net},
abstractNote = {We derive a microscopic version of the successful phenomenological hydrodynamic model of Bohr-Davydov-Faessler-Greiner for collective rotation-vibration motion of an axially symmetric deformed nucleus. The derivation is not limited to small oscillation amplitude. The nuclear Schrodinger equation is canonically transformed to collective co-ordinates, which is then linearized using a constrained variational method. The associated constraints are imposed on the wavefunction rather than on the particle co-ordinates. The approach yields three self-consistent, time-reversal invariant, cranking-type Schrodinger equations for the rotation-vibration and intrinsic motions, and a self-consistency equation. For harmonic oscillator mean-field potentials, these equations are solved in closed forms for excitation energy, cut-off angular momentum, and other nuclear properties for the ground-state rotational band in some deformed nuclei. The results are compared with measured data.},
doi = {10.1063/1.4955344},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1753,
place = {United States},
year = {2016},
month = {7}
}