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

AuthorsRomero-Redondo, Carolina ; Garrido, Eduardo ; Barletta, P.; Kievsky, A.; Viviani, M.
KeywordsAtomic and Molecular Clusters
Nuclear Theory
Issue Date25-Mar-2011
AbstractIn 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)
DescriptionAccepted for publication in Physical Review A
Publisher version (URL)http://arxiv.org/abs/1101.2106
Appears in Collections:(CFMAC-IEM) Artículos
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