Regular PapersNo Access

EIKONAL PHENOMENOLOGY FOR HEAVY-ION SCATTERING AT INTERMEDIATE ENERGIES

I. AHMAD

Department of Physics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, Saudi Arabia

Search for more papers by this author

and

M. A. ALVI

Department of Physics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, Saudi Arabia

Search for more papers by this author

https://doi.org/10.1142/S0218301304002685Cited by:12 (Source: Crossref)

Abstract

Working within the framework of the Coulomb modified Glauber model and the optical limit approximation, we propose a phenomenological method of analysis for heavy-ion elastic scattering data at intermediate energies. Instead of using the commonly employed Gaussian approximation for the input NN amplitude that is deficient in some respects at low intermediate energies, we evaluate it in terms of a three parameter phenomenological NN phase shift function. The application of the method to some ¹²C-nucleus and ¹⁶O-nucleus systems shows that a very good description of the elastic scattering data at several energies can be obtained in this way. In particular, the ¹²C–¹²C elastic scattering data at 200 MeV/nucleon is very well reproduced. We also calculate the effective NN potential using the phenomenological NN phase shift function by the method of inversion. The calculated potential shows the expected behavior and is found to vary smoothly with energy.

Keywords:

PACS: 24.10.-i, 25.70.Bc

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

R. J. Glauber, Lectures in Theoretical Physics 1, eds. W. E. Brittin and L. G. Dunham (Wiley-Interscience, New York, 1959) p. 315. Google Scholar
V. Franco and R. J. Glauber, Phys. Rev. 142, 1195 (1966). Crossref, Web of Science, ADS, Google Scholar
W. Czyz and L. C. Maximon, Ann. Phys. (N.Y.) 52, 59 (1969). Crossref, Web of Science, ADS, Google Scholar
J. Chauvinet al., Phys. Rev. C28, 1983 (1970). Google Scholar
J. Chauvinet al., J. Phys. G11, 261 (1985). ADS, Google Scholar
J. Y. Hostachyet al., Nucl. Phys. A490, 441 (1988). ADS, Google Scholar
S. M. Lenzi, A. Vitturi and F. Zardi, Phys. Rev. C40, 2114 (1989). ADS, Google Scholar
S. M. Lenzi, F. Zardi and A. Vitturi, Nucl. Phys. A536, 168 (1992). ADS, Google Scholar
I. Ahmad, M. A. Abdulmomen and M. S. Al-Enazi, Phys. Rev. C65, 054607 (2002). Google Scholar
M. M. H. El-Gogary, A. S. Salabay and M. Y. M. Hassan, Phys. Rev. C58, 3513 (1998). ADS, Google Scholar
M. M. H. El-Gogaryet al., Phys. Rev. C61, 044604 (2000). Google Scholar
B. Abu-Ibrahim and Y. Suzuki, Phys. Rev. C62, 034608 (2000). Google Scholar
I. Ahmad, M. A. Abdulmomen and M. A. Alvi, Int. J. Mod. Phys. E11, 519 (2002). ADS, Google Scholar
V. Franco and Y. Yin, Phys. Rev. C34, 608 (1986). ADS, Google Scholar
S. J. Wallace, Adv. in Nuclear Physics 12, eds. J. W. Negle and E. Vogt (Plenum, New York, 1980) p. 135. Google Scholar
S. K. Charagi and S. K. Gupta, Phys. Rev. C46, 1982 (1992). Google Scholar
M. Kohnoet al., Phys. Rev. C57, 3495 (1998). ADS, Google Scholar
X. Caiet al., Phys. Rev. C58, 572 (1998). Google Scholar
G. Q. Li and R. Machleidt, Phys. Rev. C48, 1702 (1993). ADS, Google Scholar
G. Q. Li and R. Machleidt, ibid. 49, 566 (1994). Web of Science, Google Scholar
C. A. Bertulani, J. Phys. G27, L61 (2001). Google Scholar
I. Ahmad, J. Phys. G6, 947 (1980). ADS, Google Scholar
I. Sick and J. S. McCarthy, Nucl. Phys. A150, 631 (1970). Web of Science, ADS, Google Scholar
A. Chaumeaux, V. Layly and R. Schaeffer, Ann. Phys. (N.Y.) 116, 247 (1978). Crossref, Web of Science, ADS, Google Scholar
Y. K. Gambhir and S. H. Patil, Z. Phys. A324, 9 (1986). ADS, Google Scholar
Y. K. Gambhir, P. Ring and H. de Vries, Europhys. Lett. 10, 219 (1989). Crossref, ADS, Google Scholar
G. A. Lalazissiset al., Z. Phys. A357, 429 (1997). ADS, Google Scholar
M. E. Brandan, S. H. Fricke and K. W. McVoy, Phys. Rev. C38, 673 (1988). ADS, Google Scholar
P. Russel-Chomazet al., Nucl. Phys. A477, 345 (1988). ADS, Google Scholar
M. C. Mermazet al., Z. Phys. A320, 353 (1987). Google Scholar
S. Koxet al., Phys. Rev. C35, 1678 (1984). ADS, Google Scholar
S. K. Charagi and S. K. Gupta, Phys. Rev. C41, 1610 (1990). ADS, Google Scholar
D. T. Khoa and G. P. Satchler, Nucl. Phys. A668, 3 (2000). Crossref, Web of Science, ADS, Google Scholar
M. E. Brandan and G. R. Satchler, Phys. Rep. 285, 143 (1997). Crossref, Web of Science, ADS, Google Scholar