Eur. Phys. J. A 14, 355-364 (2002)
DOI: 10.1140/epja/i2002-10029-5
The use of coherent states in the variational treatment of proton-neutron interactions
J.G. Hirsch1, P.O. Hess1 and O. Civitarese21 Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apdo. Postal 70-543, Mexico 04510 D.F.
2 Department of Physics, University of Plata, c.c. 67, (1900) La Plata, Argentina
hirsch@nuclecu.unam.mx
hess@nuclecu.unam.mx
civitare@venus.fisica.unlp.edu.ar
(Received: 19 February 2002 / Revised version: 15 April 2002 Communicated by P. Schuck)
Abstract
Coherent states are used as trial states to determine,
variationally, the structure of the eigenvectors belonging to a
schematic Hamiltonian consisting of single-particle, pairing and
residual proton-neutron interaction terms. It is shown that the
standard proton-neutron quasiparticle random-phase approximation
(
pn-QRPA) is recovered, as a variational theory, by replacing
quasiparticle pair creation and annihilation operators by bosons.
It is also shown that an exact, algebra preserving, mapping of the
Hamiltonian is needed to describe the spectrum beyond the QRPA
phase transition. The role of the spurious components of the trial
wave functions is discussed.
21.60.Jz - Hartree-Fock and random-phase approximations.
21.60.Fw - Models based on group theory.
23.40.Hc - Relation with nuclear matrix elements and nuclear structure.
© Società Italiana di Fisica, Springer-Verlag 2002