Asymptotics of phase and wave functions
DOI:
https://doi.org/10.24144/2415-8038.2016.40.106-112Keywords:
Phase shifts, Scattering, Channel, AsymptoticAbstract
Introduction: The methods of solving the Schrödinger equation with the aim of obtaining the scattering phases include the phase-functions method. It is quite convenient for obtaining scattering phases, because this method does not require calculating radial wave functions of scattering problem in a wide range firstly and then finding these phases by their asymptotics.
Purpose: This article is devoted to consideration of asymtotic phase and wave functions in the approach of the phase-functions method.
Results: For one and two nucleon-nucleon scattering we consider the asymptotics of the wave function. The asymptotic behavior of phase function is considered at r0 →0. Asymptotics of the wave function will not ~ r0 l+1, and will have a more complex view and be also determined by the behavior of the potential near the origin. Have examined the cases for nonsingular (weakly singular) and strongly singular potentials. Were the numerical calculations of phase, amplitude and wave functions for the nucleon-nucleon potential Argonne v18. 1S0-, 3P0-, 3P1-states for np- system were considered.
Conclusion: These formulas asymptotic for the phase and the wave function can be applied in problems of single- and coupled- channel scattering when using specific potentials of nucleon-nucleon interaction.
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