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Title: Coulomb wave functions in momentum space

Journal Article · · Computer Physics Communications
ORCiD logo [1];  [2];  [3];  [4];  [2];  [5];  [3];  [4]
  1. 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
  2. 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
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  4. Ohio Univ., Athens, OH (United States). Inst. of Nuclear and Particle Physics; Ohio Univ., Athens, OH (United States). Dept. of Physics and Astronomy
  5. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Reactor and Nuclear Systems Division
+ Show Author Affiliations

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.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Grant/Contract Number:
AC05-00OR22725; SC0004084; SC0004087; FG02-93ER40756; FG52-08NA28552; AC52-07NA27344; AC05-00OR22725; AC02-05CH11231
OSTI ID:
1261404
Journal Information:
Computer Physics Communications, Journal Name: Computer Physics Communications Journal Issue: C Vol. 187; ISSN 0010-4655
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (8)

Precise Coulomb wave functions for a wide range of complex ℓ, η and z journal February 2007
Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Pöschl–Teller–Ginocchio potential wave functions journal April 2008
The use of Coulomb wavefunctions in momentum space for two-particle scattering journal September 1979
Momentum Representation of the Coulomb Scattering Wave Functions journal August 1951
Momentum-space treatment of the Coulomb interaction in three-nucleon reactions with two protons journal May 2005
Testing the continuum-discretized coupled channels method for deuteron-induced reactions journal May 2012
Generalized Faddeev equations in the Alt-Grassberger-Sandhas form for deuteron stripping with explicit inclusion of target excitations and Coulomb interaction journal September 2012
Coulomb problem in momentum space without screening journal July 2014

Cited By (1)

Numerical methods for the computation of the confluent and Gauss hypergeometric functions journal August 2016

Linked Research (2)

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Related Subjects

97 MATHEMATICS AND COMPUTING
Momentum-space partial-wave Coulomb functions