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

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

2011-01-11

arxiv.org/abs/1101.2106v1

Phys. Rev. A 83, 022705 (2011)

Physics

Atomic and Molecular Clusters

Accepted for publication in Physical Review A

Scientific paper

10.1103/PhysRevA.83.022705

In this work we investigate 1+2 reactions within the framework of the hyperspherical adiabatic expansion method. To 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 ${\cal K}$-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 $^4$He atom on a \dimer dimer (only the elastic channel open), and for collisions involving a $^6$Li and two $^4$He atoms (two channels open).

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