Optimal plane-wave Hartree-Fock states for many-fermion systems

Journal Article · Sat Dec 01 00:00:00 EST 1979 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.20.2418· OSTI ID:5726675

de Llano, M; Plastino, A; Zabolitzky, J G

The possibility of taking plane-wave orbitals of a Hartree-Fock determinant to fill k space differently from the ''normal'' Fermi sphere is investigated for several two-body potentials including the ''homework'' v/sub 0/, v/sub 1/, and v/sub 2/ - aken from the Reid nucleon-nucleon force - as well as a sum-of-Gaussians potential chosen to fit the deuteron binding and size. A random-search and random-walk numerical algorithm shows that, provided the potential strengths are made large enough, a single-shell ''abnormal'' occupation is always found to be lower in energy than the normal one if sufficient attraction is present in the two-body interaction. No abnormal occupation is possible for, among other pair interactions, the electron or charged-boson fluid, the repulsive square barrier, and a common form of the He-He interaction.

• Research Organization: Instituto de Fisica, Universidad de Mexico, Mexico 20, D. F.
• OSTI ID: 5726675
• Journal Information: Phys. Rev., C; (United States), Vol. 20:6
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
FERMIONS
MANY-BODY PROBLEM
NUCLEAR MATTER
HARTREE-FOCK METHOD
BINDING ENERGY
BOUNDARY CONDITIONS
DEUTERONS
FOURIER TRANSFORMATION
NUCLEON-NUCLEON INTERACTIONS
PAIRING INTERACTIONS
PERTURBATION THEORY
REID POTENTIAL
VACUUM STATES
WAVE FUNCTIONS
BARYON-BARYON INTERACTIONS
CHARGED PARTICLES
ENERGY
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTEGRAL TRANSFORMATIONS
INTERACTIONS
MATTER
NUCLEON-NUCLEON POTENTIAL
PARTICLE INTERACTIONS
POTENTIALS
TRANSFORMATIONS
653001* - Nuclear Theory- Nuclear Structure
Moments
Spin
& Models
653002 - Nuclear Theory- Nuclear Matter