Low Energy S-Wave Proton-Deuteron Scattering Phase-Shifts using Morse Potential
DOI:
https://doi.org/10.15415/jnp.2022.92033Keywords:
Proton-Deuteron (p-D) scattering, Phase function menthod (PFM, RK-5 method, partial scattering cross-sectionAbstract
Background: Study of nucleon-nucleus interaction is important to understand the stability
of nuclei. At small lab energies ≈ 1-10 MeV, the three body 3He system can be considered as
a combination of proton and deuteron two body system. The two body system can be modeled by a local central potential along with Coulomb potential to obtain phase-shifts.
Purpose: Molecular Morse potential has been successfully able to calculate scattering phase
shifts of neutron-Deuteron (3He). The main objective of this paper is to test if Morse potential proves to be a good interaction potential to study proton-Deuteron (3He) scattering as well.
Methods: The phase function method is solved numerically using RK-5 method for determining the S-wave scattering phase shifts (SPS) for proton-deuteron (p-D) scattering as a
function of proton laboratory energy ranging from 1-10.4 MeV. The model paramters of Morse potential have been varied to obtain best mean absolute percentage error (MAPE) w.r.t. experimental data.
Results: The calculated SPS are found to have MAPE less than 3 percent w.r.t experimental phase shifts. Partial scattering cross-section has been determined using the obtained SPS.
Conclusions: Morse potential has been found to be successful in explaining interaction
between proton and deuteron.
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