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Title: QRPA for description of states of multiphonon origin

We propose a novel extension of the standard quasiparticle random phase approximation (QRPA) with a new form of phonon operator, which allows to describe also states of multiphonon origin. We denote this method as QRPA with non-linear phonon operator (nlQRPA) and apply it to the proton-neutron Lipkin model. We consider the simplest non-linear extension of a phonon operator where the RPA equation can be transformed into a standard form. That guarantees the orthonormality and completeness of the QRPA states of one-phonon and three-phonon origin. A rather good agreement is found both for energies and beta transition amplitudes with those obtained by a diagonalization of the schematic Hamiltonian. There is straightforward way to extend this approach also for a realistic nuclear structure calculations.
Authors:
 [1] ;  [1] ;  [2] ;  [3] ;  [4]
  1. Czech Technical University in Prague, 128-00 Prague (Czech Republic)
  2. (Slovakia)
  3. (Russian Federation)
  4. Comenius University, Mlynská dolina F1, SK-842 48 Bratislava (Slovakia)
Publication Date:
OSTI Identifier:
22492674
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1686; Journal Issue: 1; Conference: MEDEX'15: Workshop on calculation of double-beta-decay matrix elements, Prague (Czech Republic), 9-12 Jun 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BETA DECAY; HAMILTONIANS; NEUTRONS; NONLINEAR PROBLEMS; NUCLEAR STRUCTURE; PHONONS; PROTONS; RANDOM PHASE APPROXIMATION; TRANSITION AMPLITUDES