2000/05/16 by V. S. Vasilevsky, V. Vasilevsky, A. V. Nesterov +2
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic number #Atomic and Molecular Physics #Cluster (spacecraft) #Computer science #Discrete mathematics #Function (biology) #Generating function #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Nuclear physics research studies #Programming language #Pure mathematics #Quantum Chromodynamics and Particle Interactions #nucl-th
paper · pdf · doi:10.1103/physrevc.63.034606
published as Phys.Rev. C63 (2001) 034606 · 20 pages, 1 postscript figure, submitted to Phys. Rev. C
arxiv created 2000/05/16 · openalex publication_date 2001/02/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.