Skip to main content
Log in

Generating Energy-Dependent Potentials

  • Published:
Journal of the Korean Physical Society Aims and scope Submit manuscript

Abstract

Energy-momentum-dependent potentials corresponding to a separable nonlocal potential and a separable nonlocal potential plus a local potential are constructed to study nucleon-nucleon and nucleus-nucleus systems. The constructed local potentials developed via two different approaches either have no hard core or a quasi-hard core. Elastic scattering phase shifts are computed for the proton-proton and the alpha-alpha systems by using the phase function method and are found to be in good agreement with experimental data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

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

    Article  ADS  Google Scholar 

  2. C. Lechanoine-Leluc, F. Lehar, P. Winternitz and J. Bystricky, J. de Physique 48, 985 (1987).

    Article  Google Scholar 

  3. J. Bystricki, C. Lechanoine-Leluc and F. Lehar, J. de Physique 48, 199 (1987).

    Article  Google Scholar 

  4. C. Lechanoine-Leluc and F. Lehar, Rev. Mod. Phys. 65, 47 (1993).

    Article  ADS  Google Scholar 

  5. J. Bystricki, C. Lechanoine-Leluc and F. Lehar, J. de Physique 51, 2747 (1990).

    Article  Google Scholar 

  6. R. B. Wiringa, V. G. J. Stoks and R. Schiavilla, Phys. Rev. C 51, 38 (1995).

    Article  ADS  Google Scholar 

  7. C. E. Allgower et al., Phys. Rev.C 62, 064001 (2000).

    Article  ADS  Google Scholar 

  8. F. Gross and A. Stadler, Phys. Rev. C 78, 014005 (2008).

    Article  ADS  Google Scholar 

  9. N. Berk, F. E. Steigert and G. L. Salinger, Phys. Rev. 117, 531 (1960).

    Article  ADS  Google Scholar 

  10. J. R. Dunning, A. M. Smith and F. E. Steigert, Phys. Rev. 121, 580 (1961).

    Article  ADS  Google Scholar 

  11. R. Chiba et al., Phys. Soc. Japan 16, 1077 (1961).

    Article  ADS  Google Scholar 

  12. T. A. Tombrello and L. S. Senhouse, Phys. Rev. 129, 2252 (1963).

    Article  ADS  Google Scholar 

  13. S. Ali and A. R. Bodmer, Nucl. Phys. 80, 99 (1966).

    Article  Google Scholar 

  14. T. A. Tombrello and P. D. Parker, Phys. Rev. 131, 2582 (1963).

    Article  ADS  Google Scholar 

  15. T. Kajino and A. Arima, Phys. Rev. Lett. 52, 739 (1984).

    Article  ADS  Google Scholar 

  16. P. R. Page, Phys. Rev. C 72, 0543129 (2005).

    Article  Google Scholar 

  17. P. Darriulat, G. Igo, H. G. Pugh and H. D. Holmgren, Phys. Rev. 137, B315 (1965).

    Article  ADS  Google Scholar 

  18. R. R. Haefner, Rev. Mod. Phys. 23, 228 (1951).

    Article  ADS  Google Scholar 

  19. R. Nilson et al., Phys. Rev. 109, 850 (1958).

    Article  ADS  Google Scholar 

  20. E. Graves, Phys. Rev. 84, 1250 (1951).

    Article  ADS  Google Scholar 

  21. E. van der Spuy and H. J. Pienaar, Nucl. Phys. 7, 397 (1958).

    Article  Google Scholar 

  22. G. Lgo, Phys. Rev. 117, 1079 (1960).

    Article  ADS  Google Scholar 

  23. O. Endo, I. Shimodaya and J. Hiura, Prog. Theor. Phys. (Kyoto) 31, 1157 (1964).

    Article  ADS  Google Scholar 

  24. S. Ali and S. A. Afzal, Nuovo Cimento 50, 355 (1967).

    Article  ADS  Google Scholar 

  25. V. I. Kukulin, V. G. Neudatchin and Y. F. Smirnov, Nucl. Phys. A 245, 429 (1975).

    Article  ADS  Google Scholar 

  26. B. Buck, H. Friedrich and C. Wheatley, Nucl. Phys. A 275, 246 (1977).

    Article  ADS  Google Scholar 

  27. H. Friedrich, Phys. Rep. 74, 209 (1981).

    Article  ADS  Google Scholar 

  28. H. Friedrich, Phys. Rev. C 30, 1102 (1984).

    Article  ADS  Google Scholar 

  29. L. Marquez, Phys. Rev. C 28, 2525 (1983).

    Article  ADS  Google Scholar 

  30. P. Mohr et al., Z. Phys. A-Atomic Nuclei 349, 339 (1994).

    Google Scholar 

  31. S. Elhatisari et al., Nature 528, 111 (2015).

    Article  ADS  Google Scholar 

  32. E. Caurier, P. Navrátil, W. E. Ormand and J. P. Vary, Phys. Rev. C 64, 051301 (2001).

    Article  ADS  Google Scholar 

  33. T. Yoshida, N. Shimizu, T. Abe and T. J. Otsuka, Phys. Conf. Ser. 454, 012050 (2013).

    Article  Google Scholar 

  34. T. Myo et al., Prog. Theor. Exp. Phys. 033D01 (2014).

  35. V. M. Datar et al., Phys. Rev. Lett. 111, 062502 (2013).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  37. J. Bhoi and U. Laha, Phys. Atom. Nucl. 79, 370 (2016).

    Article  ADS  Google Scholar 

  38. J. Bhoi and U. Laha, Pramana-J. Phys. 88, 42 (2017).

    Article  ADS  Google Scholar 

  39. M. Gell-Mann and M. L. Goldberger, Phys. Rev. 91, 398 (1953).

    Article  ADS  MathSciNet  Google Scholar 

  40. H. van Haeringen and R. van Wageningen, J. Math. Phys. 16, 1441 (1975).

    Article  ADS  Google Scholar 

  41. W. Plessas, L. Streit and H. Zingl, Acta Phys. Austriaca 40, 272 (1974).

    Google Scholar 

  42. L. Cripinsek et al., Acta Phys. Austriaca 42, 139 (1975).

    Google Scholar 

  43. W. Schweiger, W. Plessas, L. P. Kok and H. van Haeringen, Phys. Rev. C 27, 515 (1983).

    Article  ADS  Google Scholar 

  44. M. Coz, L. G. Arnold and A. D. Mac Kellar, Ann. Phys. (NY) 59, 219 (1970).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  46. J. P. McTavish, J. Phys. G: Nucl. Phys. 8, 1037 (1982).

    Article  ADS  Google Scholar 

  47. B. Talukdar, G. C. Sett and S. R. Bhattaru, J. Phys. G: Nucl. Phys. 11, 591 (1985).

    Article  ADS  Google Scholar 

  48. U. Laha, S. K. Das and J. Bhoi, Turk. J. Phys. 41, 447 (2017).

    Article  Google Scholar 

  49. F. Calogero, Variable Phase Approach to Potential Scattering (Academic, New York, 1967).

    MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  51. B. H. J. McKellar and R. M. May, Nucl. Phys. 65, 289 (1965).

    Article  Google Scholar 

  52. I. M. Gel’fand and B. M. Levitan, Izv. Akad. Nauk. SSSR, Ser. Mat. 15, 309 (1951).

    Google Scholar 

  53. A. K. Behera, U. Laha, M. Majumder and J. Bhoi, J. Korean Phys. Soc. 74, 428 (2019).

    Article  ADS  Google Scholar 

  54. J. Haudenbauer and W. Plessas, Phys. Rev. C 30, 1822 (1984).

    Article  ADS  Google Scholar 

  55. M. Rahaman, D. Hussaun and S. Ali, Phys. Rev. C 10, 1 (1974).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to U. Laha.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Laha, U. Generating Energy-Dependent Potentials. J. Korean Phys. Soc. 75, 935–940 (2019). https://doi.org/10.3938/jkps.75.935

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3938/jkps.75.935

Keywords

Navigation