The Goldstone bosons in the pairing Hamiltonian: the path integral approach

Details The Goldstone bosons in the pairing Hamiltonian: the path integral approach The Goldstone bosons in the pairing Hamiltonian: the path integral approach

2003-04-09

arxiv.org/abs/nucl-th/0304028v2

Phys.Rev.C70:034309,2004

Physics

Nuclear Physics

Nuclear Theory

23 pages

Scientific paper

10.1103/PhysRevC.70.034309

As a first step to derive the IBM from a microscopic nuclear hamiltonian, we bosonize the pairing hamiltonian in the framework of the path integral formalism respecting both the particle number conservation and the Pauli principle. Special attention is payed to the role of the Goldstone bosons. We construct the saddle point expansion which reproduces the sector of the spectrum associated to the addition or removal of nucleon pairs.

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