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Manuscript Title: A program for calculating Regge trajectories in potential scattering. | ||

Authors: P.G. Burke, C. Tate | ||

Program title: REGGE TRAJECTORY | ||

Catalogue identifier: AAGA_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 1(1969)97 | ||

Programming language: Fortran. | ||

Computer: I.C.L.1907. | ||

Operating system: QUBE. | ||

RAM: 11K words | ||

Word size: 24 | ||

Keywords: Nuclear physics, Phase shift, Bound state, Regge, Bessel function, Eigenvalue, Schrodinger, Complex, Gamma function, Yukawa potential, Trajectory, S-matrix, Scattering, Pole, Angular momentum, Optical model. | ||

Classification: 17.9. | ||

Nature of problem:This program solves the radial Schrodinger equation and finds the positions and residues of Regge poles for a Yukawa potential and follows these poles automatically as a function of energy. Alternatively, it will compute the S-matrix and phase shifts at a specified grid of points in the complex angular momentum plane and for a given set of energies. The program can be modified to calculate Regge trajectories for any potential which can be specified by an analytic formula. | ||

Solution method:The radial Schrodinger equation is integrated numerically inwards and outwards using the Runge-Kutta-Gill method. The S-matrix is determined by fitting the solution to a complex Bessel function, and the poles in the S-matrix are found by Newton's iteration method. | ||

Restrictions:The program is limited to real positive and negative values of the energy and to all complex angular momenta except the half odd integers. | ||

Running time:The evaluation of the S-matrix at one point takes about six seconds on the ICL 1907. To determine the position of a pole in the S-matrix takes about 40 seconds for a typical number of iterations. |

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