• Treatment of inelastic scattering within the separable interaction model

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    • Keywords


      Hulthén-distortedYamaguchi potential; interacting Green’s function; off-shell Jost solution; T -matrix; scattering phase shifts; cross-sections.

    • Abstract


      The closed-form analytical expressions for the off-shell solutions for Hulthén-distorted Yamaguchi potential are derived to deal with the charged hadron systems. To construct these solutions, the particular integrals of the non-homogeneous Schrödinger equations are utilised in conjunction with the interacting Green’s functions. The Jost functions thus obtained, both on- and off-shell, are exploited to find the half-off-shell T -matrix. The off shell Jost function exists but off-shell Jost solution for the said potential has not yet been discussed in the literature. The merits of the T -matrix are examined through some model calculations. Exploiting the expressions for on and half-shell transition matrices, the s-wave elastic and inelastic scattering cross-sections are also estimated. Our results for the proton–proton and proton–oxygen systems are in close agreement with other calculations.

    • Author Affiliations



      1. Department of Physics, National Institute of Technology, Jamshedpur 831 014, India
      2. Department of Physics, Veer Surendra Sai University of Technology, Burla 768 018, India
    • Dates

  • Pramana – Journal of Physics | News

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