Nuclear Physics and Atomic Energy

Ядерна фізика та енергетика
Nuclear Physics and Atomic Energy

  ISSN: 1818-331X (Print), 2074-0565 (Online)
  Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine
  Languages: Ukrainian, English
  Periodicity: 4 times per year

  Open access peer reviewed journal


 Home page   About 
Nucl. Phys. At. Energy 2010, volume 11, issue 1, pages 25-32.
Section: Nuclear Physics.
Received: 22.03.2010; Published online: 30.03.2010.
PDF Full text (ua)
https://doi.org/10.15407/jnpae2010.01.025

Nucleus-nucleus potential with repulsive core and elastic scattering. Part 1. Nucleus-nucleus interaction potential

O. I. Davidovskaya, V. Yu. Denisov, V. O. Nesterov

Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine

Abstract: Various approaches for nucleus-nucleus interaction potential evaluation are discussed in details. It is shown that the antisymmetrization of nucleons belonging to different nuclei and the Pauli principle give the essential contribution into the nucleus-nucleus potential at distances, when nuclei are strongly overlapping, and lead to appearance of the repulsive core of nucleus-nucleus interaction at small distances between nuclei.

Keywords: nucleus-nucleus interaction potential, antisymmetrization of nucleons, Pauli principle, repulsive core.

References:

1. Hodgson P. E. Nuclear Heavy-Ion Reactions (Oxford: Clarendon Press, 1978).

2. Bass R. Nuclear Reactions with Heavy-Ions (Berlin: Springer-Verlag, 1980).

3. Satсhler G. R., Love W. G. Folding model potentials from realistic interactions for heavy-ion scattering. Phys. Rep. 55 (1979) 183. https://doi.org/10.1016/0370-1573(79)90081-4

4. Brack M., Guet C., Hakanson H. -B. Selfconsistent semiclassical description of average nuclear properties - a link between microscopic and macroscopic models. Phys. Rep. 123 (1985) 275. https://doi.org/10.1016/0370-1573(86)90078-5

5. Brack M., Bhaduri R.K. Semiclassical Physics (Addison-Wesley, 1997).

6. Денисов В. Ю., Нестеров В. А. Энергии связи и распределения плотности ядер в нелокальном модифицированном приближении Томаса - Ферми. Ядерная физика 65 (2002) 814.

7. Денисов В. Ю., Нестеров В. А. Потенциал взаимодействия ядер и распределение плотности нуклонов в ядрах. Ядерная физика 69 (2006) 1507.

8. Brueckner K. A., Buchler J. R., Kelly M. M. New Theoretical Approach to Nuclear Heavy-Ion Scattering. Phys. Rev. 173 (1968) 944. https://doi.org/10.1103/PhysRev.173.944

9. Denisov V. Yu. Interaction potential between heavy ions. Phys. Lett. B 526 (2002) 315. https://doi.org/10.1016/S0370-2693(01)01513-1

10. Denisov V. Yu., Norenberg W. Entrance channel potentials in the synthesis of the heaviest nuclei. Eur. Phys. J. A 15 (2002) 375. https://doi.org/10.1140/epja/i2002-10039-3

11. Denisov V.Y u., Nesterov V. A. Effect of the Pauli exclusion principle on the potential of nucleus-nucleus interaction. Phys. Atom. Nucl. 73 (2010) 1142. https://doi.org/10.1134/S1063778810070070

12. Brink D. M., Stancu F. Interaction potential between the 16O nuclei derived from the Skyrme interaction. Nucl. Phys. A 243 (1975) 175; https://doi.org/10.1016/0375-9474(75)90027-5

Stancu F., Brink D. M. The real part of the nucleus-nucleus interaction. Nucl. Phys. A 270 (1976) 236. https://doi.org/10.1016/0375-9474(76)90137-8

13. Khoa Dao T., von Oertzen W., Bohlen H. G. Double folding model for heavy-ion optical potential: Revised and applied to study 12C and 16O elastic scattering. Phys. Rev. C 49 (1994) 1652. https://doi.org/10.1103/PhysRevC.49.1652

14. Khoa Dao T., von Oertzen W. A nuclear matter study using the density dependent M3Y interaction. Phys. Lett. B 304 (1993) 8. https://doi.org/10.1016/0370-2693(93)91391-Y

15. Soubbotin V. B. et al. Pauli distorted double folded potential. Phys. Rev. C 64 (2001) 014601. https://doi.org/10.1103/PhysRevC.64.014601

16. Satchler G. R. Direct Nuclear Reactions (Oxford: Oxford University, 1983).

17. Frobrich P., Lipperheide R. Theory of Nuclear Reactions (Oxford: Clarendon Press, 1996). https://doi.org/10.1093/oso/9780198537830.001.0001

18. Ogloblin A. A., Khoa Dao T., Kondo Y. et al. Pronounced Airy structure in elastic 16O + 12C scattering at Elab = 132 MeV. Phys. Rev. C 57 (1998) 1797. https://doi.org/10.1103/PhysRevC.57.1797

19. Ogloblin A. A., Glukhov Yu. A., Trzaska W. H. et al. New measurement of refractive, elastic 16O + 12C scattering at 132, 170, 200, 230 and 260 MeV incident energies. Phys. Rev. C 62 (2000) 044601. https://doi.org/10.1103/PhysRevC.62.044601

20. Brandan M. E., Satchler G. R. The interaction between light heavy-ions and what it tell us. Phys. Rep. 285 (1997) 143; https://doi.org/10.1016/S0370-1573(96)00048-8

Khoa Dao T., W. von Oertzen, Bohlen H. G., Ohkubo S. Nuclear rainbow scattering and nucleus-nucleus potential. J. Phys. G 34 (2007) R111; https://doi.org/10.1088/0954-3899/34/3/R01

Brandan M. E. Unambiguous imaginary potential in the optical-model description of light heavy-ion elastic scattering. Phys. Rev. Lett. 60 (1988) 784. https://doi.org/10.1103/PhysRevLett.60.784

21. Khoa Dao T., W. von Oertzen, Bohlen H. G., Nuoffer F. Study of diffractive and refractive structure in elastic 16O + 16O scattering at incident energies ranging from 124 to 1120 MeV. Nucl. Phys. A 672 (2000) 387. https://doi.org/10.1016/S0375-9474(99)00856-8

22. Blocki J. et al. Proximity forces. Ann. Phys. 105 (1977) 427. https://doi.org/10.1016/0003-4916(77)90249-4

23. Misicu S., Esbensen H. Signature of shallow potentials in deep sub-barrier fusion reactions. Phys. Rev. C 75 (2007) 034606. https://doi.org/10.1103/PhysRevC.75.034606

24. Izumoto T., Krewald S., Faessler A. Nuclear matter approach to the heavy-ion optical potential. Nucl. Phys. A 341 (1980) 319. https://doi.org/10.1016/0375-9474(80)90316-4

25. Hossain S., Abdullah M. N. A., Hasan K. M. et al. Shallow folding potential for 16O + 12C elastic scattering. Phys. Lett. B 636 (2006) 248. https://doi.org/10.1016/j.physletb.2006.03.071

26. Гриднев К. Я., Родионова Е. Е., Фадеев С. Н. Description of elastic scattering in the 16O + 16O and 16O + 12C systems. Ядерная физика 71 (2008) 1290. https://doi.org/10.1134/S106377880807020X

27. Denisov V. Yu., Davidovskaya O. I. Elastic scattering of heavy nuclei and nucleus-nucleus potential with repulsive core. Ядерная физика 73 (2010) 429. https://doi.org/10.1134/S1063778810030026

28. Denisov V. Yu., Davidovskaya O. I. Repulsive core potential and elastic heavy-ion collisions. Укр. фіз. журнал 54 (2009) 669.

29. Денисов В. Ю., Давидовская О. И. Упругое рассеяние тяжелых ионов и ядерно-ядерный потенциал с отталкивающим кором. Изв. РАН. Сер. физ. 74 (2010) 611.

30. Давидовская О. И. Денисов В. Ю. Пружне розсіяння 16O + 16O і ядерно-ядерний потенціал із відштовхувальним кором. Укр. фіз. журнал (2010).

31. Давидовська О. І., Денисов В. Ю., Нестеров В. О. Ядерно-ядерний потенціал із відштовхувальним кором і пружне розсіяння. Частина 2. Перерізи пружного розсіяння з урахуванням і без урахування кора. Ядерна фізика та енергетика 11 (2010) 33. https://jnpae.kinr.kyiv.ua/11.1/Articles_PDF/jnpae-2010-11-0033-Davidovskaya_part2.pdf

32. Skyrme T. H. R. The effective nuclear potential. Nucl. Phys. 9 (1959) 615. https://doi.org/10.1016/0029-5582(58)90345-6

33. Каплан И. Г. Введение в теорию межмолекулярных взаимодействий. (Москва: Наука, 1982) 311 с.

34. Фирсов О. Б. ЖЭТФ 32 (1958) 447.

35. H. De Vries, C. W. De Jager, C. De Vries. Nuclear charge-density-distribution parameters from elastic electron scattering. At. Data Nucl. Data Tables 36 (1987) 495. https://doi.org/10.1016/0092-640X(87)90013-1