• Hyperspherical harmonics approach to the trinucleon system with Reid soft core potential: Calculation of geometrical structure coefficients

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      https://www.ias.ac.in/article/fulltext/pram/040/03/0189-0200

    • Keywords

       

      Nuclear structure; few-body problem; hyperspherical harmonics expansion method; geometrical structure coefficients; Reid soft core potential

    • Abstract

       

      We present the full set of equations for the solution of the trinucleon problem by the hyperspherical harmonics expansion (HHE) method where nucleons interact via the Reid soft core (RSC) potential. The coupling potential matrix elements are expressed in terms of geometrical structure coefficients (GSC) and potential multipoles (PM). Introduction of GSC greatly simplifies the calculation of the potential matrix and makes the numerical algorithm efficient. A method for calculating all the twelve independent sets of GSC needed, by using the completeness property of the Jacobi polynomials has been presented. A convenient sum rule for each set of GSC has also been derived and precision of the calculated GSC has been checked by the sum rule. Such calculations of GSC are efficient and fast, in view of the complexity of the HHE equations.

    • Author Affiliations

       

      Tapan Kumar Das1 Satadal Bhattacharyya1 2

      1. Physics Department, Calcutta University, 92 A.P.C. Road, Calcutta - 700 009, India
      2. Physics Department, Burdwan University, Burdwan - 713 104, India
    • Dates

       
  • Pramana – Journal of Physics | News

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