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- Title
Three-Body Coulomb Functions in the Hyperspherical Adiabatic Expansion Method.
- Authors
Garrido, E.; Kievsky, A.; Viviani, M.
- Abstract
In this work we describe a numerical method devised to compute continuum three-body wave functions. The method is implemented using the hyperspherical adiabatic expansion for the three-body wave function imposing a box boundary condition. The continuum energy spectrum results discretized and, for specific quantum number values, all the possible incoming and outgoing channels are simultaneously computed. For a given energy, the hyperradial continuum functions form a matrix whose ij-term refers to specific incoming and outgoing channels. When applied to three-body systems interacting only through the Coulomb potential, this method provides the adiabatic representation of the regular three-body Coulomb wave function. The computation of the irregular Coulomb wave function representation is also discussed. These regular and irregular Coulomb functions can be used to extract the $${\mathcal {S}}$$ -matrix for those reactions where, together with some short-range potential, the Coulomb interaction is also present. The method is illustrated in the case of the $$3\rightarrow 3$$ process of three alpha particles.
- Subjects
COULOMB functions; ADIABATIC expansion; HYPERSPHERICAL method; NUMERICAL analysis; BODY waves (Seismic waves)
- Publication
Few-Body Systems, 2016, Vol 57, Issue 12, p1227
- ISSN
0177-7963
- Publication type
Article
- DOI
10.1007/s00601-016-1157-2