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Hartree-Fock-Bogoliubov solution of the pairing Hamiltonian in
finite nuclei
J. Dobaczewski and W. Nazarewicz
Abstract:
We present an overview of the Hartree-Fock-Bogoliubov (HFB) theory of nucleonic superfluidity
for finite nuclei. After introducing basic concepts related to pairing
correlations, we show how the correlated pairs are incorporated into the HFB wave function. Thereafter,
we present derivation and structure of the HFB equations within the superfluid nuclear density functional formalism and discuss several aspects of the theory, including
the unitarity of the Bogoliubov transformation in truncated
single-particle and quasiparticle spaces, form of the pairing
functional, structure of the HFB continuum, regularization and
renormalization of pairing fields, and treatment of pairing in systems with odd
particle numbers.
Jacek Dobaczewski
2012-07-17