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Real and Imaginary Phase Shifts for Nucleon–Deuteron Scattering Using Phase Function Method

  • Shikha Awasthi,
  • O. S. K. S. Sastri

摘要

Abstract

The neutron–deuteron ( \(nd\) ) and proton–deuteron ( \(pd\) ) scattering are the simplest nucleon–nucleus scenario which throws light on understanding few body systems. In this work, real and imaginary parts of scattering phase shifts (SPS) for \(nd\) - and \(pd\) -scattering are obtained using complex potential, with Malfliet–Tjon (MT) model of interaction, by phase function method (PFM). The SPS for doublet \({}^{2}S_{1/2}\) and quartet \({}^{4}S_{3/2}\) states of \(nd\) - and \(pd\) -systems have been obtained for real and imaginary parts separately by solving the phase equation for \(\ell=0\) , using Runge–Kutta 5 \({}^{th}\) order technique for laboratory energies up to 19 MeV. The obtained (real, imaginary) SPS for \({}^{2}S_{1/2}\) and \({}^{4}S_{3/2}\) states are matching with standard data with mean absolute error (MAE) of (1.32, 0.06) for \({}^{2}S_{1/2}\) state and (0.19, 0.06) for \({}^{4}S_{3/2}\) state of \(nd\) -scattering, (0.95, 0.28) for \({}^{2}S_{1/2}\) state and (0.58, 0.21) for \({}^{4}S_{3/2}\) state of \(pd\) -scattering.