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Potentials and phase shifts for nucleon–light nuclei systems

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Abstract

Two simple models based on the Coulomb-distorted phase function and supersymmetry-inspired factorisation methods are adapted to deal with the nucleon–light nuclei elastic scattering at low energies. The first one is associated with the derivation of a closed-form expression of the scattering phase shift for motion in Coulomb-distorted separable non-local potentials. The second one deals with the development of an energy-dependent phase equivalent local potential to the non-local one for s-wave and its subsequent generation of higher partial wave interactions through the formalism of supersymmetric quantum mechanics. The usefulness of our models is demonstrated through the computation of \(\upalpha \)–nucleon scattering phase shifts at low energies up to partial waves \(\ell = 2\). Certain energy-dependent correction factors are also incorporated into energy-dependent higher partial wave potentials to achieve an excellent agreement with the standard data.

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References

  1. U Laha and J Bhoi, Phys. Rev. C 91, 034614 (2015)

    Article  ADS  Google Scholar 

  2. E Witten, Nucl. Phys. B 188, 513 (1981)

    Article  ADS  Google Scholar 

  3. F Cooper and D Freedman, Ann. Phys. 146, 262 (1983)

    Article  ADS  Google Scholar 

  4. C V Sukumar, J. Phys. A 18, L57 (1985)

    Article  ADS  Google Scholar 

  5. H H Hackenbroich, P Heiss and Le-Chi-Niem, Phys. Lett. B 51, 334 (1974)

    Article  ADS  Google Scholar 

  6. H Horiuchi, Prog. Theor. Phys. Suppl. 62, 90 (1977)

    Article  ADS  Google Scholar 

  7. K Wildermuth and Y C Tang, A unified theory of the nucleus (Vieweg, Branschweig, 1977)

    Book  Google Scholar 

  8. D R Thompson, R E Brown, M LeMere and Y C Tang, Phys. Rev. C 16, 1 (1977)

    Article  ADS  Google Scholar 

  9. Y C Tang, Microscopic description of the nuclear cluster theory, in: Topics in nuclear physics II, lecturer notes in physics (Springer, Berlin, 1981) Vol. 145, pp. 571–692

  10. B Hoop Jr and H H Barschall, Nucl. Phys. 83, 65 (1966)

    Article  Google Scholar 

  11. L Brown, W Haeberli and W Trächslin, Nucl. Phys. A 90, 339 (1967)

    Article  ADS  Google Scholar 

  12. G R Satchler, L W Owen, A Jelwin, G L Morgan and R L Walter, Nucl. Phys. A 112, 1 (1968)

    Article  ADS  Google Scholar 

  13. G L Morgan and R L Walter, Phys. Rev. 168, 1114 (1968)

    Article  ADS  Google Scholar 

  14. P Schwandt, T B Clegg and W Haeberli, Nucl. Phys. A 163, 432 (1971)

    Article  ADS  Google Scholar 

  15. R Kamouni and D Baye, Nucl. Phys. A 791, 68 (2007)

    Article  ADS  Google Scholar 

  16. J Dohet-Eraly and D Baye, Phys. Rev. C 84, 014604 (2011)

    Article  ADS  Google Scholar 

  17. E Van der Spuy, Nucl. Phys. 1, 381 (1956)

    Article  Google Scholar 

  18. J Gammel and R Thaler, Phys. Rev. 109, 2041 (1958)

    Article  ADS  Google Scholar 

  19. A N Mitra, V S Bhasin and B S Bhakar, Nucl. Phys. 38, 316 (1962)

    Article  Google Scholar 

  20. J Pigeon, J Barguil, C Fayard, G H Lamot and E El Baz, Nucl. Phys. A 145, 319 (1970)

    Article  ADS  Google Scholar 

  21. S Ali, M Rahaman and D Hussain, Phys. Rev. D 6, 1178 (1972)

    Article  ADS  Google Scholar 

  22. S Ali, M Rahaman and D Hussain, Phys. Rev. C 9, 1657 (1974)

    Article  ADS  Google Scholar 

  23. A A Z Ahmad, S Ali, N Ferdous and M Ahmed, Nuovo Cimento A 30, 385 (1975)

    Article  ADS  Google Scholar 

  24. G Cattapan, G Pisent and V Vanzani, Nucl. Phys. A 241, 204 (1975)

    Article  ADS  Google Scholar 

  25. A K Rafiquallah, S Hossain, N Chowdhury, A Begum and N Ferdous, Dacca Univ. Stud. B 23(2), 5 (1975)

    Google Scholar 

  26. Chew-Lean Lee and D Robson, Nucl. Phys. A 379, 11 (1982)

    Article  ADS  Google Scholar 

  27. P Swan, Proc. R. Soc. 228, 10 (1955)

    Article  ADS  Google Scholar 

  28. G C Sett, U Laha and B Talukdar, J. Phys. A 21, 3643 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  29. L G Arnold and A D MacKellar, Phys. Rev. C 3, 1095 (1971)

    Article  ADS  Google Scholar 

  30. J Bhoi and U Laha, J. Phys. G 40, 045107 (2013)

    Article  ADS  Google Scholar 

  31. U Laha and J Bhoi, Pramana – J. Phys. 81, 959 (2013)

    Article  ADS  Google Scholar 

  32. J Bhoi, U Laha and K C Panda, Pramana – J. Phys. 82, 859 (2014)

    Article  ADS  Google Scholar 

  33. U Laha and J Bhoi, Int. J. Mod. Phys. E 23, 1450039 (2014)

    Article  ADS  Google Scholar 

  34. U Laha and J Bhoi, Pramana – J. Phys. 84, 555 (2015)

    Article  ADS  Google Scholar 

  35. F Calogero, Variable phase approach to potential scattering (Academic, New York, 1967)

  36. B Talukdar, D Chatterjee and P Banarjee, J. Phys. G 3, 813 (1977)

    Article  ADS  Google Scholar 

  37. R G Newton, Scattering theory of waves and particles, 2nd edn (Springer-Verlag, New York, 1982)

    Book  Google Scholar 

  38. U Laha and B Talukdar, Pramana – J. Phys. 36, 289 (1991)

    Article  ADS  Google Scholar 

  39. L J Slater, Confluent hypergeometric functions (Cambridge University Press, New York, 1960)

    MATH  Google Scholar 

  40. A Erdeyli, Higher transcendental functions (McGraw-Hill, New York, 1953) Vol. 1

    Google Scholar 

  41. W Magnus and F Oberhettinger, Formulas and theorems for the special functions of mathematical physics (Chelsea, New York, 1949)

    MATH  Google Scholar 

  42. H Buchholz, The confluent hypergeometric function (Springer, New York, 1969)

    Book  Google Scholar 

  43. Y Yamaguchi, Phys. Rev. 95, 1628 (1954)

    Article  ADS  Google Scholar 

  44. D K Ghosh, S Saha, K Niyogi and B Talukdar, Czech. J. Phys. B 33, 528 (1983)

    Article  ADS  Google Scholar 

  45. I Reichstein and Y C Tang, Nucl. Phys. A 158, 529 (1970)

    Article  ADS  Google Scholar 

  46. A I Mazur, A M Shirokov, I A Mazur, E A Mazur, Y Kim, I J Shin, L D Blokhintsev and J P Vary, Proceeding of the International Conference on Nuclear Theory in the Supercomputing Era-2016 (Khabarovsk, Russia, 19–23 September 2016)

Download references

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Authors and Affiliations

  1. Department of Physics, Veer Surendra Sai University of Technology, Burla, Sambalpur,  768 018, India

    J Bhoi

  2. Department of Physics, National Institute of Technology, Adityapur, Jamshedpur,  831 014, India

    U Laha

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  1. J Bhoi
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  2. U Laha
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Correspondence to U Laha.

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Bhoi, J., Laha, U. Potentials and phase shifts for nucleon–light nuclei systems. Pramana - J Phys 91, 77 (2018). https://doi.org/10.1007/s12043-018-1649-3

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  • DOI: https://doi.org/10.1007/s12043-018-1649-3

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