• Equivalent potentials for a nonsymmetric non-local interaction

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      https://www.ias.ac.in/article/fulltext/pram/028/04/0325-0334

    • Keywords

       

      Equivalent potentials; radial wavefunction; non-local interaction; Saito potential; phase method

    • Abstract

       

      Scattering formalisms which incorporate antisymmetrization of the projectile with respect to identical particles in the target result in a nonsymmetric non-local interaction. Such an interaction constraints the relative wavefunctions to be orthogonal to redundant states forbidden by the Pauli principle. Concentrating on the nonsymmetric non-local kernel of Saito we try to visualize the mechanisms by which a potential can ensure the required orthogonality. We achieve this by replacing the Saito kernel by an effective symmetric non-local potential. The constructed symmetric potential is found to be phase-equivalent only but not off-shell equivalent to the original kernel. This difference in the off-shell behaviour is attributed to the dynamical origin simulating the redundant states. In close analogy with one of our recent works we also derive an energy-momentum dependent equivalent to the local potential. Our solution of the pseudo inverse problem is exact and provides a basis for writing the phase—and quasiphase—equations. We present numerical results in support of this.

    • Author Affiliations

       

      G C Sett1 U Laha1 B Talukdar1

      1. Department of Physics, Visva-Bharati, Santiniketan - 731 235, India
    • Dates

       
  • Pramana – Journal of Physics | News

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