Coulomb wave functions in momentum space. (English) Zbl 1348.81017
Summary: An algorithm to calculate non-relativistic partial-wave Coulomb functions in momentum space is presented. The arguments are the Sommerfeld parameter \(\eta\), the angular momentum \(l\), the asymptotic momentum \(q\) and the ‘running’ momentum \(p\), where both momenta are real. Since the partial-wave Coulomb functions exhibit singular behavior when \(p \to q\), different representations of the Legendre functions of the 2nd kind need to be implemented in computing the functions for the values of \(p\) close to the singularity and far away from it. The code for the momentum-space Coulomb wave functions is applicable for values of \(| \eta |\) in the range of \(1 0^{- 1}\) to \(10\), and thus is particularly suited for momentum space calculations of nuclear reactions.
MSC:
| 81-04 | Software, source code, etc. for problems pertaining to quantum theory |
| 81-08 | Computational methods for problems pertaining to quantum theory |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
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