NIFS-779

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Author(s):

Oleg I. Tolstikhin and C. Namba

Title:

CTBC A Program to Solve the Collinear Three-Body Coulomb Problem: Bound States and Scattering Below the Three-Body Disintegration Threshold

Date of publication:

Aug. 2003

Key words:

three-body Coulomb problem, bound states, scattering matrix, hyperspherical adiabatic approach, slow/smooth variable discretization method, discrete variable representation

Abstract:

A program to solve the quantum-mechanical collinear three-body Coulomb problem is described and illustrated by calculations for a number of representative systems and processes. In the internal region, the Schrodinger equation is solved in hyperspherical coordinates using the slow/smooth variable discretization method. In asymptotic regions, the solution is obtained in Jacobi coordinates using the asymptotic package GAILIT from the CPC library. Only bound states and scattering processes below the three-body disintegration threshold are considered here; resonances and fragmentation processes will be discussed in subsequent parts of this series.

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