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Title: Exact formulation and solution of the nuclear eigenvalue problem in a microscopic multiphonon space

Abstract

We propose a method for solving exactly the nuclear eigenvalue problem within a multiphonon space constructed out of Tamm-Dancoff phonons. The method consists in deriving, within a given n-phonon subspace, a set of equations, of simple structure for any n, which are solved iteratively, starting from the particle-hole vacuum, to yield a set of states covering a multiphonon space up to an arbitrary number of phonons. The intrinsic redundancy of the set so generated is removed completely and exactly by a simple and efficient prescription. Such a multiphonon basis reduces the Hamiltonian into diagonal blocks plus residual off-diagonal terms of simple form. Its diagonalization becomes straightforward and yields exact eigensolutions. {sup 16}O is adopted as numerical test ground.

Authors:
; ;  [1]; ;  [2]
  1. Dipartimento di Scienze Fisiche, Universita di Napoli Federico II and Istituto Nazionale di Fisica Nucleare, Monte S. Angelo, via Cintia, I-80126 Naples (Italy)
  2. Institute of Particle and Nuclear Physics, Charles University, V Holesovickach 2, CZ-18000 Prague 8 (Czech Republic)
Publication Date:
OSTI Identifier:
20995205
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.75.044312; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EIGENVALUES; HAMILTONIANS; MATHEMATICAL SOLUTIONS; OXYGEN 16; PARTICLES; PHONONS; REDUNDANCY

Citation Formats

Andreozzi, F., Iudice, N. Lo, Porrino, A., Knapp, F., and Kvasil, J. Exact formulation and solution of the nuclear eigenvalue problem in a microscopic multiphonon space. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.044312.
Andreozzi, F., Iudice, N. Lo, Porrino, A., Knapp, F., & Kvasil, J. Exact formulation and solution of the nuclear eigenvalue problem in a microscopic multiphonon space. United States. doi:10.1103/PHYSREVC.75.044312.
Andreozzi, F., Iudice, N. Lo, Porrino, A., Knapp, F., and Kvasil, J. Sun . "Exact formulation and solution of the nuclear eigenvalue problem in a microscopic multiphonon space". United States. doi:10.1103/PHYSREVC.75.044312.
@article{osti_20995205,
title = {Exact formulation and solution of the nuclear eigenvalue problem in a microscopic multiphonon space},
author = {Andreozzi, F. and Iudice, N. Lo and Porrino, A. and Knapp, F. and Kvasil, J.},
abstractNote = {We propose a method for solving exactly the nuclear eigenvalue problem within a multiphonon space constructed out of Tamm-Dancoff phonons. The method consists in deriving, within a given n-phonon subspace, a set of equations, of simple structure for any n, which are solved iteratively, starting from the particle-hole vacuum, to yield a set of states covering a multiphonon space up to an arbitrary number of phonons. The intrinsic redundancy of the set so generated is removed completely and exactly by a simple and efficient prescription. Such a multiphonon basis reduces the Hamiltonian into diagonal blocks plus residual off-diagonal terms of simple form. Its diagonalization becomes straightforward and yields exact eigensolutions. {sup 16}O is adopted as numerical test ground.},
doi = {10.1103/PHYSREVC.75.044312},
journal = {Physical Review. C, Nuclear Physics},
number = 4,
volume = 75,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}