Partially linearized Thomas-Fermi-Weizsaecker theory for screening and stopping of charged particles in jellium

Journal Article · Sun Mar 01 04:00:00 EST 1992 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.45.2989· OSTI ID:7234250

Ladanyi, K ^[1]; Nagy, I; Apagyi, B ^[2]

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1. Institute for Theoretical Physics, Roland Eoetvoes University, H-1088 Budapest (Hungary)
2. Quantum Theory Group, Institute of Physics, Technical University of Budapest, H-1521 Budapest (Hungary)

A partially linearized Thomas-Fermi-Weizsaecker theory is proposed to study charged particles interacting with jellium. This simple theory can be derived by linearizing contributions involving the Thomas-Fermi kinetic-energy density. The calculations are based on a nonlinear inhomogeneous integrodifferential equation that includes the potential along the lines suggested by the original Thomas-Fermi-Weizsaecker theory. Exchange-correlation effects are neglected. The coefficient of the von Weizsaecker term is prescribed according to Kato's cusp condition in order to investigate both heavy and light particles in jellium. This theoretical framework is applied to compute the stopping power of a jellium for slow protons and antiprotons, induced electron densities, positron annihilation rates, and the electron-correlation function for antiparallel spin. Illustrative comparisons with the results of other theories are also made.

• OSTI ID: 7234250
• Journal Information: Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 45:5; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

665300* -- Interactions Between Beams & Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANTIBARYONS
ANTIMATTER
ANTINUCLEI
ANTINUCLEONS
ANTIPARTICLES
ANTIPROTONS
ATOMIC MODELS
BARYONS
CHARGED PARTICLES
ELEMENTARY PARTICLES
ENERGY LOSSES
FERMIONS
HADRONS
INELASTIC SCATTERING
LOSSES
MATHEMATICAL MODELS
MATTER
NUCLEI
NUCLEONS
PROTONS
SCATTERING
STOPPING POWER
THOMAS-FERMI MODEL