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Hulthén Half-off-Shell T Matrix-Application to n-p and n-d Systems

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Abstract

In a previous paper, one of us (UL) constructed an exact analytical expression for the irregular (Jost) solution, off the energy shell, for the Hulthén potential by using the method of ordinary differential equation along with the properties of certain special functions of mathematical physics. In the present text, closed form expressions for the off-shell irregular solution and half-off-shell Tmatrix for motion in the Hulthén potential are re-derived by using the direct integration approach to the problem under consideration. We demonstrate the usefulness of our expressions through some model calculations and achieve excellent agreement between bound-and scattering-state observables and standard results.

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References

  1. J. M. J. van Leeuwen and A. S. Reiner, Physica 27, 99 (1961).

    Article  ADS  MathSciNet  Google Scholar 

  2. U. Laha, Phys. Rev. A 74, 012710 (2006).

    Article  ADS  Google Scholar 

  3. U. Laha and J. Bhoi, J. Math. Phys. 54, 013514 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  4. U. Laha, Pramana 67, 357 (2006).

    Article  ADS  Google Scholar 

  5. U. Laha and J. Bhoi, Phys. Rev. C 88, 064001 (2013).

    Article  ADS  Google Scholar 

  6. R. G. Newton, Scattering Theory of Waves and Particles, 2nd ed. (McGraw-Hill, New York, 1982).

    Book  Google Scholar 

  7. U. Laha and B. Kundu, Phys. Rev. A 71, 032721 (2005).

    Article  ADS  Google Scholar 

  8. U. Laha, Pramana 72, 457 (2009).

    Article  ADS  Google Scholar 

  9. U. Laha, Few-Body Syst. 59, 68 (2018).

    Article  ADS  Google Scholar 

  10. L. Hulthén, Ark. Mat. Astron. Fys. B 29, 1 (1942).

    MathSciNet  Google Scholar 

  11. U. Laha, C. Bhattacharyya, K. Roy and B. Talukdar, Phys. Rev. C 38, 558 (1988).

    Article  ADS  Google Scholar 

  12. M. G. Fuda and J. S. Whiting, Phys. Rev. C 8, 1255 (1973).

    Article  ADS  Google Scholar 

  13. J. Bhoi, A. K. Behera and U. Laha, J. Math. Phys. 60, 083502 (2019).

    Article  ADS  MathSciNet  Google Scholar 

  14. A. Erdeyli, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. 1.

  15. L. J. Slater, Generalized Hypergeometric Functions (Cambridge University Press, London, 1966).

    MATH  Google Scholar 

  16. W. Magnus and F. Oberhettinger, Formulae and Theorems for the Special Functions of Mathematical Physics (Chelsea, New York, 1949).

    MATH  Google Scholar 

  17. A. W. Babister, Transcendental Functions Satisfying Non-homogeneous Linear Differential Equations (MacMillan, New York, 1967).

    MATH  Google Scholar 

  18. W. N. Balley, Generalised Hypergeometric Series (Cambridge University Press, London, 1935).

    Google Scholar 

  19. O. P. Bahethi and M. G. Fuda, J. Math. Phys. 12, 2076 (1971).

    Article  ADS  Google Scholar 

  20. H. van Haeringen, Phys. Rev. A 18, 56 (1978).

    Article  ADS  Google Scholar 

  21. U. Laha and J. Bhoi, Pramana 84, 555 (2015).

    Article  ADS  Google Scholar 

  22. J. Bhoi and U. Laha, Pramana 88, 42 (2017).

    Article  ADS  Google Scholar 

  23. J. Bhoi, R. Upadhyay and U. Laha, Commun. Theor. Phys. 69, 203 (2018).

    Article  ADS  Google Scholar 

  24. U. Laha and J. Bhoi, Phys. At. Nucl. 79, 62 (2016).

    Article  Google Scholar 

  25. J. Bhoi and U. Laha, J. Phys. G: Nucl. Part. Phys. 40, 045107 (2013).

    Article  ADS  Google Scholar 

  26. R. A. Arndt et al., Phys. Rev. D 28, 97 (1983).

    Article  ADS  Google Scholar 

  27. D. Hüber et al., Few-Body Syst. 19, 175 (1995).

    Article  ADS  Google Scholar 

  28. E. F. Redish, Phys. Rev. Lett. 31, 617 (1973).

    Article  ADS  Google Scholar 

  29. N. R. Sharma and B. K. Jain, Nucl. Phys. A 377, 201 (1982).

    Article  ADS  Google Scholar 

  30. L. P. Kok, J. E. Holwerda and J. W. de Maag, Phys. Rev. C 27, 2548 (1983).

    Article  ADS  Google Scholar 

  31. I. E. McCarthy, Introduction to Nuclear Theory (John Wiley, New York, 1968).

    Google Scholar 

  32. U. Laha and B. Kundu, Turk. J. Phys. 34, 149 (2010).

    Google Scholar 

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Behera, A.K., Laha, U., Sahoo, P. et al. Hulthén Half-off-Shell T Matrix-Application to n-p and n-d Systems. J. Korean Phys. Soc. 76, 782–787 (2020). https://doi.org/10.3938/jkps.76.782

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  • DOI: https://doi.org/10.3938/jkps.76.782

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