Skip to main content
Log in

The nuclear Thomas-Fermi model and the optical potential for single-channel reactions

Ядерная модель Томаса-ферми и оптический потенциал для одно-канальных реакций

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

A new approach to the description of the nuclear interaction of nucleons with finite even-even nuclei is outlined. The radial and energy dependence of the optical potential describing the interaction of nucleons with4He,12C and16O is extensively investigated.

Riassunto

Si delinea una nuova descrizione dell'interazione di nucleoni con nuclei pari-pari e si esamina in dettaglio la dipendenza radiale ed energetica del potenziale ottico che descrive l'interazione di nucleoni con4He,12C e16O.

Резюме

Развивается новый подход к описанию ядерного взаимодействия нуклонов с конечными четно-четными ядрами. Исследуются радиальная и энергетическая зависимости оптического потенциала, описывающего взаимодействия нуклонов с4He,12C и16O.

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. B. Sinha:Phys. Rep. C,20, 1 (1975), p. 3.

    Article  ADS  Google Scholar 

  2. P. E. Hodgson:Nuclear Reactions and Nuclear Structure (Clarendon Press, Oxford, 1971); see alsoP. E. Hodgson:Annu. Rev. Nucl. Sci.,17, 1 (1967);Nuovo Cimento A,81, 250 (1984).

    Google Scholar 

  3. E. Fermi:Nuovo Cimento,11, 407 (1954).

    Article  MATH  Google Scholar 

  4. C. Villi:Nuovo Cimento A,74, 37 (1983); hereafter this paper will be referred to as I.

    Article  ADS  Google Scholar 

  5. N. M. Hugenholtz andL. Van Hove:Physica,24, 363 (1958).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. K. A. Brueckner, C. A. Levinson andH. M. Mahmud:Phys. Rev.,95, 219 (1954);K. A. Brueckner:Phys. Rev.,96, 508 (1954);N. Fukuda andR. G. Newton:Phys. Rev.,103, 1558 (1956).

    Article  ADS  Google Scholar 

  7. K. A. Brueckner:Phys. Rev.,110, 597 (1958).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. P. Hohenberg andW. Kohn:Phys. Rev. B,136, 864 (1966);L. I. Sham andW. Kohn:Phys. Rev.,145, 561 (1966);K. A. Brueckner, J. L. Gammel andH. Weitzner:Phys. Rev.,110, 431 (1958);K. T. R. Davies, S. J. Krieger andM. Beranger:Nucl. Phys.,84, 545 (1966);J. P. Swenne, A. K. Kerman andF. Villars:Phys. Rev.,147, 710 (1966).

    Article  MathSciNet  Google Scholar 

  9. K. A. Brueckner, J. R. Buchler, S. Jorna andR. Lombard:Phys. Rev.,171, 1188 (1968). See alsoC. W. De Jager, H. De Vries andC. De Vries:At. Data Nucl. Data Tables,14, 479 (1974).

    Article  ADS  Google Scholar 

  10. R. L. B. Elton:Nuclear Sizes (Oxford University Press, Oxford, 1961).

    Google Scholar 

  11. H. F. Ehrenberg, R. Hofstadter, U. Mayer-Berkhout, D. G. Ravenhall andS. Sobotka:Phys. Rev.,113, 666 (1959). See alsoR. Hofstadter:Annu. Rev. Nucl. Sci.,7, 231 (1957).

    Article  ADS  Google Scholar 

  12. G. L. Shaw:Ann. Phys. (N. Y.),8, 500 (1959).

    Article  ADS  Google Scholar 

  13. H. A. Bethe:Phys. Rev.,167, 879 (1968), p. 892.

    ADS  Google Scholar 

  14. J. P. Blaizot:Phys. Rep.,64, 171 (1980). See alsoB. K. Jennings andA. D. Jackson:Phys. Rep.,66, 141 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  15. J. P. Blaizot, D. Gogny andB. Grammaticos:Nucl. Phys. A,265, 315 (1976);K. B. Jennings andA. D. Jackson:Nucl. Phys. A,342, 23 (1980).

    Article  ADS  Google Scholar 

  16. E. Fermi:Z. Phys.,49, 550 (1928).

    Article  ADS  MATH  Google Scholar 

  17. S. Fernbach, W. Heckrotte andJ. V. Lepore:Phys. Rev.,97, 1059 (1955).

    Article  ADS  MATH  Google Scholar 

  18. P. E. Hodgson:The Optical Model of Elastic Scattering (Clarendon Press, Oxford, 1963), p. 113.

    MATH  Google Scholar 

  19. W. B. Riesenfeld andK. M. Watson:Phys. Rev.,102, 1157 (1958).

    Article  ADS  Google Scholar 

  20. E. Clementel andC. Villi:Nuovo Cimento,1, 176 (1955).

    Article  Google Scholar 

  21. S. Hayakawa, M. Kaway andK. Kikuchi:Prog. Theor. Phys.,13, 415 (1955).

    Article  ADS  Google Scholar 

  22. K. Harada andN. Oda:Prog. Theor. Phys.,21, 260 (1959).

    Article  ADS  Google Scholar 

  23. L. C. Gomes:Phys. Rev.,116, 1226 (1959).

    Article  ADS  Google Scholar 

  24. R. H. Lemmer, T. A. J. Maris andY. C. Tang:Nucl. Phys.,12, 619 (1959).

    Article  Google Scholar 

  25. G. W. Greenless, G. J. Pyle andY. C. Tang:Phys. Rev.,171, 1115 (1968).

    Article  ADS  Google Scholar 

  26. B. Sinha andF. Duggan:Nucl. Phys. A,226, 31 (1974). See alsoB. Sinha:Phys. Rev. C,11, 1546 (1975).

    Article  ADS  Google Scholar 

  27. C. Ciofi Degli Atti:Prog. Part. Nucl. Phys.,3, 163 (1980);J. Heisenberg:Nucl. Phys. A,396, 391c (1983);B. Fois:Electron scattering and nuclear structure, inProceedings of the International Conference on Nuclear Physics, Florence, 1983, Vol.2, Invited Papers (Bologna, 1984), p. 221–246.

    Article  ADS  Google Scholar 

  28. R. Hofstadter:Electron Scattering and Nuclear and Nucleon Structure, (W. A. Benjamin, Inc., New York, N. Y., 1963).

    MATH  Google Scholar 

  29. C. Villi:Atti e Memorie dell'Academia Patavina di Scienze, Lettere ed Arti, Vol.90, Parte II (1977-1978), p. 125.

    Google Scholar 

  30. J. S. McCarthy, I. Sick andR. R. Whitney:Phys. Rev. C..,15, 1396 (1977) for4He;W. Reuter, G. Fricke, K. Merle andH. Miska:Phys. Rev. C.,26, 806 (1982);L. S. Cardman, J. W. Lightbody jr.,S. Penner, S. P. Fivozinsky, X. K. Maruyama, W. P. Trower andS. E. Williamson:Phys. Lett. B,91, 203 (1980) for12C;I. Sick andJ.S. McCarthy:Nucl. Phys. A,150, 631 (1970) for16O

    Article  ADS  Google Scholar 

  31. S. Fiarman andW. E. Mayerhof:Nucl. Phys. A,206, 1 (1973);A. H. Wapstra andN. B. Gove:Nucl. Data Tables,9, 267 (1971).

    Article  ADS  Google Scholar 

  32. J. Treiner, H. Krivine, O. Bohigas andJ. Martorell:Nucl. Phys. A,371, 253 (1981).

    Article  ADS  Google Scholar 

  33. D. M. Brink andE. Boeker:Nucl. Phys. A,91, 1 (1967).

    Article  ADS  Google Scholar 

  34. W. A. Pearce andP. Swan:Nucl. Phys.,78, 433 (1966). See alsoP. E. Hodgson:Philos. Mag. Suppl. Adv. Phys.,7, 25 (1958).

    Article  Google Scholar 

  35. K. A. Brueckner, J. L. Gammel andH. Weitzner:Phys. Rev.,110, 431 (1958);K. A. Brueckner, A. M. Lockett andM. Rotenberg:Phys. Rev.,121, 255 (1961).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  36. C. Villi:Nuovo Cimento A,67, 178 (1982).

    Article  ADS  Google Scholar 

  37. S. D. Drell:Phys. Rev.,100, 97 (1955). See also ref.G. W. Greenless, G. J. Pyle andY. C. Tang:Phys. Rev.,171, 1115 (1968)

    Article  ADS  Google Scholar 

  38. H. Feshbach:Annu. Rev. Nucl. Sci.,8, 49 (1958), formula (31).

    Article  ADS  Google Scholar 

  39. W. E. Frahn andR. H. Lemmer:Nuovo Cimento,5, 1564 (1957).

    Article  MathSciNet  MATH  Google Scholar 

  40. F. Perey andB. Buck:Nucl. Phys.,32, 353 (1962).

    Article  Google Scholar 

  41. C. A. Engelbrecht andH. Fiedeldey:Ann. Phys. (N. Y.),42, 267 (1967).

    Article  ADS  Google Scholar 

  42. S. J. Bawe, jr.,E. Haddad, J. E. Perry jr. andR. K. Smith:Rev. Sci. Instrum.,28, 997 (1957).

    Article  ADS  Google Scholar 

  43. A. Genz:The ε-algorithm and some other applications of Padé approximants in numerical analysis, inPadé Approximants, edited byP. P. Graves Morris (Bristol, 1972), p. 112–125.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Перебедено редакцией.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pascolini, A., Villi, C. The nuclear Thomas-Fermi model and the optical potential for single-channel reactions. Nuov Cim A 85, 89–174 (1985). https://doi.org/10.1007/BF02902407

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02902407

PACS

PACS

Navigation