General integral relations for the description of scattering states using the hyperspherical adiabatic basis

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.022705· OSTI ID:21537159

Romero-Redondo, C; Garrido, E; Barletta, P; Kievsky, A; Viviani, M ^[1]

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1. Instituto de Estructura de la Materia, CSIC, Serrano 123, E-28006 Madrid (Spain)

In this work we investigate 1+2 reactions within the framework of the hyperspherical adiabatic expansion method. With this aim two integral relations, derived from the Kohn variational principle, are used. A detailed derivation of these relations is shown. The expressions derived are general, not restricted to relative s partial waves, and with applicability in multichannel reactions. The convergence of the K matrix in terms of the adiabatic potentials is investigated. Together with a simple model case used as a test for the method, we show results for the collision of a {sup 4}He atom on a {sup 4}He{sub 2} dimer (only the elastic channel open), and for collisions involving a {sup 6}Li and two {sup 4}He atoms (two channels open).

• OSTI ID: 21537159
• Journal Information: Physical Review. A, Vol. 83, Issue 2; Other Information: DOI: 10.1103/PhysRevA.83.022705; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ADIABATIC PROCESSES
ATOM COLLISIONS
CONVERGENCE
DIMERS
HELIUM 4
K MATRIX
LITHIUM 6
PARTIAL WAVES
SCATTERING
VARIATIONAL METHODS
CALCULATION METHODS
COLLISIONS
EVEN-EVEN NUCLEI
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
LITHIUM ISOTOPES
MATRICES
NUCLEI
ODD-ODD NUCLEI
STABLE ISOTOPES