Coulomb wave functions in momentum space
We present an algorithm to calculate nonrelativistic partialwave Coulomb functions in momentum space. The arguments are the Sommerfeld parameter η, the angular momentum l, the asymptotic momentum q and the 'running' momentum p, where both momenta are real. Since the partialwave Coulomb functions exhibit singular behavior when p → 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 momentumspace Coulomb wave functions is applicable for values of vertical bar eta vertical bar in the range of 10 ^{1} to 10, and thus is particularly suited for momentum space calculations of nuclear reactions.
 Authors:

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 Ohio Univ., Athens, OH (United States). Inst. of Nuclear and Particle Physics; Ohio Univ., Athens, OH (United States). Dept. of Physics and Astronomy; Lomonosov Moscow State Univ., Moscow (Russia). D.V. Skobeltsyn Inst. of Nuclear Physics
 Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab.; Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Ohio Univ., Athens, OH (United States). Inst. of Nuclear and Particle Physics; Ohio Univ., Athens, OH (United States). Dept. of Physics and Astronomy
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Reactor and Nuclear Systems Division
 Publication Date:
 Grant/Contract Number:
 AC0500OR22725; SC0004084; SC0004087; FG0293ER40756; FG5208NA28552; AC5207NA27344; AC0500OR22725; PHY080026; AC0205CH11231
 Type:
 Accepted Manuscript
 Journal Name:
 Computer Physics Communications
 Additional Journal Information:
 Journal Volume: 187; Journal Issue: C; Journal ID: ISSN 00104655
 Publisher:
 Elsevier
 Research Org:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; Momentumspace partialwave Coulomb functions
 OSTI Identifier:
 1261404
 Alternate Identifier(s):
 OSTI ID: 1252788
Eremenko, V., Upadhyay, N. J., Thompson, I. J., Elster, Ch., Nunes, F. M., Arbanas, G., Escher, J. E., and Hlophe, L.. Coulomb wave functions in momentum space. United States: N. p.,
Web. doi:10.1016/j.cpc.2014.10.002.
Eremenko, V., Upadhyay, N. J., Thompson, I. J., Elster, Ch., Nunes, F. M., Arbanas, G., Escher, J. E., & Hlophe, L.. Coulomb wave functions in momentum space. United States. doi:10.1016/j.cpc.2014.10.002.
Eremenko, V., Upadhyay, N. J., Thompson, I. J., Elster, Ch., Nunes, F. M., Arbanas, G., Escher, J. E., and Hlophe, L.. 2015.
"Coulomb wave functions in momentum space". United States.
doi:10.1016/j.cpc.2014.10.002. https://www.osti.gov/servlets/purl/1261404.
@article{osti_1261404,
title = {Coulomb wave functions in momentum space},
author = {Eremenko, V. and Upadhyay, N. J. and Thompson, I. J. and Elster, Ch. and Nunes, F. M. and Arbanas, G. and Escher, J. E. and Hlophe, L.},
abstractNote = {We present an algorithm to calculate nonrelativistic partialwave Coulomb functions in momentum space. The arguments are the Sommerfeld parameter η, the angular momentum l, the asymptotic momentum q and the 'running' momentum p, where both momenta are real. Since the partialwave Coulomb functions exhibit singular behavior when p → 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 momentumspace Coulomb wave functions is applicable for values of vertical bar eta vertical bar in the range of 101 to 10, and thus is particularly suited for momentum space calculations of nuclear reactions.},
doi = {10.1016/j.cpc.2014.10.002},
journal = {Computer Physics Communications},
number = C,
volume = 187,
place = {United States},
year = {2015},
month = {10}
}