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Manuscript Title: HERMES: an optical model search program including tensor potentials
for projectile spins 0 to 3/2. | ||

Authors: J. Cook | ||

Program title: HERMES | ||

Catalogue identifier: ABPM_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 31(1984)363 | ||

Programming language: Fortran. | ||

Computer: GOULD SEL 32/77. | ||

Operating system: MPX-32 1.5A. | ||

RAM: 275K words | ||

Word size: 32 | ||

Peripherals: disc. | ||

Keywords: Optical model central, Tensor, Vector, Neutrons, Deformed potentials, Tensor analysing powers, Charged particles, Spin-orbit, Cross sections, Parameter optimisation, Heavy ions. | ||

Classification: 17.9. | ||

Nature of problem:The optical model program HERMES calculates cross sections, vector and tensor analysing powers for the elastic scattering of spin 0 to 3/2 projectiles from spin 0 targets, where the optical potential may consist of central, spin-orbit and tensor parts. All possible ranks k of analyzing powers and tensor potentials are included, where 0<k<2s. The program contains a search routine to optimise the optical model parameters to fit experimental data. | ||

Solution method:A partial wave expansion is made of the distorted waves which leads to uncoupled differential equations when the optical potential contains only central and spin-orbit terms, and coupled equations when tensor potentials are included. These differential equations are solved using a predictor-corrector Numerov integration technique, and the T-matrix is obtained by matching the solutions to Coulomb wavefunctions. Cross sections and analysing powers are calculated from the T-matrix, and a Marguardt algorithm is used to optimise the optical model parameters to fit experimental data. | ||

Restrictions:(1) Projectile spins 0 to 3/2. (2) Target spin 0. (3) No more than 200 partial waves are allowed. (4) No more than 500 radial integration points. (5) No more than 800 data points; 100 for the cross sections, and 100 for each of the possible analysing powers. | ||

Running time:The test calculation of section 1 took 8 minutes. |

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