Abstract
It is found that the simple expression [(πcq)/sinh(πcq)][J 1(Rq)/(Rq)] for the elastic scattering amplitude makes it possible to well describe differential cross sections over a broad range of energies from 100 MeV to \(\sqrt s \) = 1800 GeV. This parametrization can be used to calculate antiproton-nucleus and antinucleus-nucleus amplitudes and cross sections, which are necessary in accelerator experiments and in cosmic ray physics. The generalization of the wavelet expansion to the case of functions defined on a semi-infinite interval is also proposed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T. T. Chou and C. N. Yang, Phys. Rev. 170, 1591 (1968).
I. S. Gradstein and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1980).
A. Grossmann and J. Morlet, SIAM Math. Anal. 15, 723 (1984); Wavelet Analysis and Its Applications (Academ. Press, San Diego, 1992); N. M. Astafieva, Sov. Phys. Usp. 39, 1085 (1996).
D. W. L. Sprung and J. Martorell, J. Phys. A 30, 6525 (1997); J. Phys. A 31, 8973 (1998).
J. S. Blair, Phys. Rev. 95, 1218 (1954); J. A. McIntyre, K. H. Wang, and L. C. Becker, Phys. Rev. 117, 1317 (1960); W. E. Frahn and R. H. Venter, Ann. Phys. 24, 234 (1963); E. V. Inopin, Sov. Phys. JETP 21, 1090 (1965); T. E. O. Ericson, in Preludes in Theoretical Physics, Ed. by A. De-Shalit, H. Feshbach, and L. Van Hove (Elsevier, Amsterdam, 1966), p. 321; A. V. Shebeko, Sov. J. Nucl. Phys. 5, 543 (1967); W. E. Frahn, Nucl. Phys. A 302, 267 (1978); Nucl. Phys. A 302, 281 (1978).
J. B. Bronzan, G. L. Kane, and U. P. Sukhatme, Phys. Lett. B 49, 227 (1974); M. M. Block and R. N. Cahn, Rev. Mod. Phys. 57, 563 (1985).
S. Sakamoto, T. Hasimoto, F. Sai, and S. S. Yamamoto, Nucl. Phys. B 195, 1 (1982).
E. Eisenhandler, W. R. Gibson, C. Hojvat, et al., Nucl. Phys. B 113, 1 (1976).
A. Breakstone, H. B. Crawley, G. M. Dallavalle, et al., Phys. Rev. Lett. 54, 2180 (1985).
N. A. Amos, C. Avila, W. F. Baker, et al. (E-710 Collab.), Phys. Lett. B 247, 127 (1990).
V. Franco and R. J. Glauber, Phys. Rev. 142, 142 (1966).
O. D. Dalkarov and V. A. Karmanov, Nucl. Phys. A 445, 579 (1985).
Yu. A. Berezhnoy and V. Yu. Korda, Int. J. Mod. Phys. 7, 723 (1998).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.S. Galoyan, V.V. Uzhinskii, 2011, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2011, Vol. 94, No. 7, pp. 539–542.
Rights and permissions
About this article
Cite this article
Galoyan, A.S., Uzhinskii, V.V. Structure of the antiproton-proton elastic scattering amplitude. Jetp Lett. 94, 499–502 (2011). https://doi.org/10.1134/S0021364011190076
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364011190076