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Title: Doorway states in the random-phase approximation

By coupling a doorway state to a sea of random background states, we develop the theory of doorway states in the framework of the random-phase approximation (RPA). Because of the symmetry of the RPA equations, that theory is radically different from the standard description of doorway states in the shell model. We derive the Pastur equation in the limit of large matrix dimension and show that the results agree with those of matrix diagonalization in large spaces. The complexity of the Pastur equation does not allow for an analytical approach that would approximately describe the doorway state. Our numerical results display unexpected features: The coupling of the doorway state with states of opposite energy leads to strong mutual attraction.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Istituto Nazionale di Fisica Nucleare, Sezione di Torino, via P.Giuria 1, I-10125 Torino (Italy)
  2. Dipartimento di Fisica Teorica dell’Università di Torino, via P.Giuria 1, I-10125 Torino (Italy)
  3. (Italy)
  4. Max-Planck-Institut für Kernphysik, D-69029 Heidelberg (Germany)
Publication Date:
OSTI Identifier:
22403486
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 351; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COUPLING; EQUATIONS; MATRICES; RANDOM PHASE APPROXIMATION; RANDOMNESS; SHELL MODELS; SYMMETRY