Peculiar properties of the cluster-cluster interaction induced by the Pauli exclusion principle

Journal Article · Wed Dec 01 04:00:00 EST 2004 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.70.064001· OSTI ID:20695795

Filippov, Gennady; Lashko, Yuliya ^[1]

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1. Bogolyubov Institute for Theoretical Physics, 14-b Metrolohichna Str., Kiev-143 (Ukraine)

The role of the Pauli principle in the formation of both the discrete spectrum and multichannel states of the two-cluster nuclear systems is studied in the algebraic version of the resonating-group method. Solutions of the Hill-Wheeler equations in the discrete representation of a complete basis of the Pauli-allowed states are discussed for the {sup 4}He+n, {sup 3}H+{sup 3}H, and {sup 4}He+{sup 4}He binary systems. An exact treatment of the antisymmetrization effects related to the kinetic energy exclusively is shown to result in either an effective repulsion or attraction of the clusters. It also yields a change in the intensity of the centrifugal potential. Both factors significantly affect the scattering phase behavior. Special attention is paid to the {sup 6}He+{sup 6}He multichannel two-cluster system as well as to the coupled-channel calculation of the {sup 12}Be nucleus (provided that {sup 6}He+{sup 6}He and {sup 4}He+{sup 8}He clusterings are taken into account). In the latter case, the cluster-cluster interaction derived from the kinetic-energy operator modified by the Pauli principle leads to inelastic processes and ensures the existence of both the bound state and a resonance in the {sup 12}Be compound nucleus.

• OSTI ID: 20695795
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 70; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA PARTICLES
BERYLLIUM 12
BOUND STATE
CLUSTER MODEL
COMPOUND NUCLEI
COUPLED CHANNEL THEORY
HELIUM 4
HELIUM 6
HELIUM 8
KINETIC ENERGY
MATHEMATICAL SOLUTIONS
NEUTRONS
NUCLEAR DECAY
NUCLEAR STRUCTURE
PAULI PRINCIPLE
POTENTIALS
RESONATING-GROUP METHOD
TRITIUM
TRITONS