6533b86ffe1ef96bd12cd288

RESEARCH PRODUCT

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

Witold NazarewiczWitold NazarewiczWitold NazarewiczJacek DobaczewskiJacek Dobaczewski

subject

Condensed Matter::Quantum GasesPhysicsUnitarityta114Nuclear TheoryHartree–Fock methodRenormalizationBogoliubov transformationsymbols.namesakeRegularization (physics)PairingsymbolsWave functionHamiltonian (quantum mechanics)Mathematical physics

description

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.

10.1142/9789814412490_0004http://juuli.fi/Record/0038759213