Hartree-Fock-Bogoliubov solution of the pairing Hamiltonian in finite nuclei

Journal Article · Sun Jan 01 00:00:00 EST 2012 · World Scientific Review

OSTI ID:1043330

Dobaczewski, J. ^[1]; Nazarewicz, Witold ^[2]

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1. Warsaw University
2. ORNL

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.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-AC05-00OR22725
• OSTI ID: 1043330
• Journal Information: World Scientific Review, Journal Name: World Scientific Review
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
FUNCTIONALS
HAMILTONIANS
NUCLEAR MATTER
NUCLEAR THEORY
NUCLEI
RENORMALIZATION
SUPERFLUIDITY
TRANSFORMATIONS
UNITARITY
WAVE FUNCTIONS