Coulomb wave functions in momentum space

Eremenko, V.; Upadhyay, N. J.; Thompson, I. J.; Elster, Ch.; Nunes, F. M.; Arbanas, G.; Escher, J. E.; Hlophe, L.

doi:10.1016/j.cpc.2014.10.002

Title: Coulomb wave functions in momentum space

Journal Article · Thu Oct 15 00:00:00 EDT 2015 · Computer Physics Communications

DOI:https://doi.org/10.1016/j.cpc.2014.10.002· OSTI ID:1261404

^[1]; Upadhyay, N. J. ^[2]; Thompson, I. J. ^[3]; Elster, Ch. ^[4]; Nunes, F. M. ^[2]; Arbanas, G. ^[5]; Escher, J. E. ^[3]; Hlophe, L. ^[4]

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

We present an algorithm to calculate non-relativistic partial-wave 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 partial-wave 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 momentum-space 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.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-00OR22725; SC0004084; SC0004087; FG02-93ER40756; FG52-08NA28552; AC52-07NA27344; AC-0500OR22725; PHY-080026; AC02-05CH11231

OSTI ID:: 1261404

Alternate ID(s):: OSTI ID: 1252788

Journal Information:: Computer Physics Communications, Vol. 187, Issue C; ISSN 0010-4655

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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References (8)

Momentum-space treatment of the Coulomb interaction in three-nucleon reactions with two protons Deltuva, A.; Fonseca, A. C.; Sauer, P. U. Physical Review C, Vol. 71, Issue 5 https://doi.org/10.1103/PhysRevC.71.054005	journal	May 2005
Testing the continuum-discretized coupled channels method for deuteron-induced reactions Upadhyay, N. J.; Deltuva, A.; Nunes, F. M. Physical Review C, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevC.85.054621	journal	May 2012
The use of Coulomb wavefunctions in momentum space for two-particle scattering Dreissigacker, K.; Popping, H.; Sauer, P. U. Journal of Physics G: Nuclear Physics, Vol. 5, Issue 9 https://doi.org/10.1088/0305-4616/5/9/005	journal	September 1979
Momentum Representation of the Coulomb Scattering Wave Functions Guth, E.; Mullin, C. J. Physical Review, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRev.83.667	journal	August 1951
Precise Coulomb wave functions for a wide range of complex ℓ, η and z Michel, N. Computer Physics Communications, Vol. 176, Issue 3 https://doi.org/10.1016/j.cpc.2006.10.004	journal	February 2007
Generalized Faddeev equations in the Alt-Grassberger-Sandhas form for deuteron stripping with explicit inclusion of target excitations and Coulomb interaction Mukhamedzhanov, A. M.; Eremenko, V.; Sattarov, A. I. Physical Review C, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevC.86.034001	journal	September 2012
Coulomb problem in momentum space without screening Upadhyay, N. J.; Eremenko, V.; Hlophe, L. Physical Review C, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevC.90.014615	journal	July 2014
Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Pöschl–Teller–Ginocchio potential wave functions Michel, N.; Stoitsov, M. V. Computer Physics Communications, Vol. 178, Issue 7 https://doi.org/10.1016/j.cpc.2007.11.007	journal	April 2008

Cited By (1)

Numerical methods for the computation of the confluent and Gauss hypergeometric functions Pearson, John W.; Olver, Sheehan; Porter, Mason A. Numerical Algorithms, Vol. 74, Issue 3 https://doi.org/10.1007/s11075-016-0173-0	journal	August 2016

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