Programs in Physics & Physical Chemistry
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|Manuscript Title: Quasi-bound state wavefunctions.|
|Authors: R.M. DeVries|
|Program title: QUASI-BOUND STATE WAVEFUNCTIONS|
|Catalogue identifier: ABMQ_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 11(1976)249|
|Programming language: Fortran.|
|Computer: IBM 360/65.|
|Operating system: OS MVT RELEASE 21.8.|
|RAM: 175K words|
|Word size: 64|
|Keywords: Nuclear physics, Unbound, Woods-saxon, Wavefunction, Schrodinger equation, Quasi-bound, Resonant state, Direct reaction, Shell model.|
|Classification: 17.11, 17.19.|
Nature of problem:
A program has been written which calculates the solution to the time independent Schrodinger equation for particles trapped by a Coulomb barrier but whose energy is greater than zero.
For fixed Woods-Saxon radius and diffuseness, the depth of the nuclear potential is iteratively found starting from a radius where the total potential energy exceeds the particle energy. Using this nuclear potential the quasi-bound wavefunction is generated from the boundary conditions at r = infinity of G(r)/r where G(r) is the irregular Coulomb wavefunction.
The program is dimensioned for a maximum of 400 mesh points and a maximum angular momentum of 10. Both these limits are easily increased if desired.
Because the solution is exactly on resonance no searching on the phase shift is required. Therefore this technique works even if the resonance widths are extremely narrow (10**-10 eV for example).
For the test case (212 Po=208Pb + alpha), 7 s using the WATFIV compiler - this includes compilation time.
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