Pauli principle in cluster scattering. [Resonant-group method]

Journal Article · Wed Jan 01 04:00:00 EST 1975 · Bull. Acad. Sci. USSR, Phys. Ser.; (United States)

OSTI ID:7150822

Smirnov, Yu F; El-Hovari, R M

The resonant-group method (RGM) is applied to a system of two clusters, each of which consists of two fermions of masses m and M respectively; it is found that the system is closely described by a potential with forbidden states for m equals M, while the RGM equations for M much greater than m become adiabatic expressions of Heitler-London type, and a repulsive term appears in the cluster-cluster interaction potential, which is related to increased kinetic energy of the fermions in the cluster-overlap region. This allows one to link up two approaches to the Pauli principle and explain why a potential with forbidden states describes closely the scattering of light clusters, while the scattering of heavier ions is closely reproduced by optical potentials with repulsion of the type found for interatomic potentials in molecules.

• Research Organization: Moscow State Univ.
• OSTI ID: 7150822
• Journal Information: Bull. Acad. Sci. USSR, Phys. Ser.; (United States), Journal Name: Bull. Acad. Sci. USSR, Phys. Ser.; (United States) Vol. 39:10; ISSN BUPSA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ADIABATIC APPROXIMATION
CHARGED-PARTICLE REACTIONS
CLUSTER MODEL
ENERGY
ENERGY-LEVEL TRANSITIONS
FERMIONS
FORBIDDEN TRANSITIONS
GROUP THEORY
HEAVY ION REACTIONS
HEITLER-LONDON THEORY
KINETIC ENERGY
MASS
MATHEMATICAL MODELS
MATHEMATICS
NUCLEAR MODELS
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
PAULI PRINCIPLE
RESONANCE
SCATTERING