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Title: Coulomb wave functions in momentum space

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.
Authors:
 [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
Publication Date:
OSTI Identifier:
1261404
Grant/Contract Number:
AC05-00OR22725; SC0004084; SC0004087; FG02-93ER40756; FG52-08NA28552; AC52-07NA27344; AC-0500OR22725; PHY-080026; AC02-05CH11231
Type:
Accepted Manuscript
Journal Name:
Computer Physics Communications
Additional Journal Information:
Journal Volume: 187; Journal Issue: C; Journal ID: ISSN 0010-4655
Publisher:
Elsevier
Research Org:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING Momentum-space partial-wave Coulomb functions