Skip to main content
Log in

Calculation of eta-meson-nucleus quasibound states with optical potentials of the square-well and woods-saxon forms

  • Nuclei
  • Theory
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

The results obtained by calculating bound states of eta mesons and nuclei by using a squarewell optical potential are compared with their counterparts based on the use of an optical potential in the Woods-Saxon form. For any reasonable choice of range for a potential that has a sharp boundary, the results for the case of a diffuse boundary demonstrate the need for a greater baryon charge in order that an eta meson form a bound state with nuclei. The dependence of the probability for the formation of etamesonic nuclei on the diffuseness parameter of the optical potential involving the Woods-Saxon radial dependence is revealed.

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. Q. Haider and L. C. Liu, Phys. Rev. C 66, 045208 (2002).

    Article  ADS  Google Scholar 

  2. S. A. Rakityansky, S. A. Sofianos, M. Braun, et al., Phys. Rev. C 53, R2043 (1996).

    Article  ADS  Google Scholar 

  3. A. Fix and H. Arenhovel, Phys. Rev. C 66, 024002 (2002).

    Article  ADS  Google Scholar 

  4. D. Jido, E. E. Kolomeitsev, H. Nagahira, and S. Hirenzaki, Nucl. Phys. A 811, 158 (2008).

    Article  ADS  Google Scholar 

  5. N. G. Kelkar, K. P. Khemchandani, and B. K. Jain, J. Phys. G 32, L19 (2006).

    Article  ADS  Google Scholar 

  6. C. Y. Song, X. H. Zhong, L. Li, and P. Z. Ning, arXiv:0802.3738 [nucl-th].

  7. T. Ericson and W. Weise, Pions and Nuclei (Clarendon, Oxford, 1988; Nauka, Moscow, 1991).

    Google Scholar 

  8. R. S. Bhalerao and L. C. Liu, Phys. Rev. Lett. 54, 865 (1985).

    Article  ADS  Google Scholar 

  9. A. M. Green and S. Wycech, Phys. Rev. C 55, R2167 (1997).

    Article  ADS  Google Scholar 

  10. M. Batinizh and A. Švarc, Few-Body Syst. 20, 69 (1996).

    Article  ADS  Google Scholar 

  11. V. A. Tryasuchev, Fiz. Élem. Chastits At. Yadra 30, 1391 (1999) [Phys. Part. Nucl. 30, 606 (1999)].

    Google Scholar 

  12. Q. Haider and L. C. Liu, Phys. Lett. B 172, 257 (1986); Phys. Lett. B 174, 465(E) (1986).

    Article  ADS  Google Scholar 

  13. L. Elton, Nuclear Sizes (OxfordUniv., London, 1961; Inostr. Liter., Moscow, 1962), p. 159.

    Google Scholar 

  14. I. Angeli, At. Data Nucl. Data Tables 87, 185 (2004).

    Article  MathSciNet  ADS  Google Scholar 

  15. S. F. Flügge, Practical Quantum Mechanics (Springer, New York, 1998; Mir, Moscow, 1974), vol. 2, p. 314.

    Google Scholar 

  16. V. A. Tryasuchev and A. V. Isaev, Izv. Vyssh. Uchebn. Zaved., Ser. Fiz. 51, 28 (2008).

    Google Scholar 

  17. V. A. Tryasuchev and A. V. Isaev, arXiv:0901.3242 [nucl-th].

  18. B. Krusche, in Proc. of the II TAPS Workshop, Guadamar, 1993, Ed. by J. Diaz and Y. Schutz (World Sci., Singapore, 1994), p. 467.

    Google Scholar 

  19. L. Tiator, C. Bennhold, and S. S. Kamalov, Nucl. Phys. A 580, 455 (1994).

    Article  ADS  Google Scholar 

  20. C. Wilkin, Phys. Rev. C 47, R938 (1993).

    Article  ADS  Google Scholar 

  21. Ch. Sauermann, B. L. Friman, and W. Norenberg, Phys. Lett. B 341, 261 (1995); C. Deutsch-Sauermann, B. L. Friman, and W. Norenberg, Phys. Lett. B 409, 51 (1997).

    Article  ADS  Google Scholar 

  22. V. V. Abaev and B. M. K. Nefkens, Phys. Rev. C 53, 385 (1996).

    Article  ADS  Google Scholar 

  23. N. Kaiser, P. B. Siegel, and W. Weise, Phys. Lett. B 362, 23 (1995).

    Article  ADS  Google Scholar 

  24. Handbook of Mathematical Functions, Ed. by M. Abramowitz and I. Stegun (Nation. Bureau of Standards, New York, 1964; Moscow, Nauka, 1979), p. 832.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. A. Tryasuchev.

Additional information

Original Russian Text © V.A. Tryasuchev, A.V. Isaev, 2010, published in Yadernaya Fizika, 2010, Vol. 73, No. 11, pp. 1890–1898.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tryasuchev, V.A., Isaev, A.V. Calculation of eta-meson-nucleus quasibound states with optical potentials of the square-well and woods-saxon forms. Phys. Atom. Nuclei 73, 1838–1846 (2010). https://doi.org/10.1134/S1063778810110050

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063778810110050

Keywords

Navigation