Phys. Rev. C 63, 034606 (2001) [16 pages]Algebraic model for scattering in three-s-cluster systems. I. Theoretical backgroundReceived 14 April 2000; published 14 February 2001 A framework to calculate two-particle matrix elements for fully antisymmetrized three-cluster configurations is presented. The theory is developed for a scattering situation described in terms of the algebraic model. This means that the nuclear many-particle state and its asymptotic behavior are expanded in terms of oscillator states of the intercluster coordinates. The generating function technique is used to optimize the calculation of matrix elements. In order to derive the dynamical equations, a multichannel version of the algebraic model is presented. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevC.63.034606
DOI:
10.1103/PhysRevC.63.034606
PACS:
24.10.-i, 21.60.Gx, 21.60.Fw, 03.65.Nk
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