Abstract.
The robustness of the factorization theorem for total cross sections, \(\sigma_{nn}/\sigma_{\gamma p}=\sigma_{\gamma p}/\sigma_{\gamma\gamma}\) for nn (the even portion of pp and \({\bar p}p\) scattering), \(\gamma p\) and \(\gamma\gamma\) scattering, originally proved by Block and Kaidalov using an eikonal formalism, is demonstrated. Factorization theorems for the nuclear slope parameter B and \(\rho\), the ratio of the real to the imaginary portion of the forward scattering amplitude, are derived under very general conditions, using analyticity and the optical theorem.
Similar content being viewed by others
References
M.M. Block, A.B. Kaidalov, ph/0012365, Phys. Rev. D 64, 076002 (2001)
L. Durand, R. Lipes, Phys. Rev. Lett. 20, 637 (1968)
T.T. Chou, C.N. Yang, Phys. Rev. 170, 1591 (1968)
C. Bourrely, J. Fischer, Nucl. Phys. B 61, 513 (1973)
L. Lukaszuk, B. Nicolescu, Lett. Nuovo Cimento 8, 405 (1973)
M.M. Block, F. Halzen, G. Pancheri, hep-ph/0111046 v2, Eur. Phys. J. C 23, 329 (2002)
M.M. Block, hep-ph/0204048, Phys. Rev. D 65, 116005 (2002)
M.M. Block, G. Pancheri, hep-ph/0206166, Eur. Phys. J. C 25, 287 (2002)
M.M. Block, R.N. Cahn, Rev. Mod. Phys. 57, 563 (1985)
Author information
Authors and Affiliations
Additional information
Received: 19 February 2003, Revised: 10 July 2003, Published online: 19 September 2003
Work partially supported by Department of Energy contract DA-AC02-76-Er02289 Task D.
Rights and permissions
About this article
Cite this article
Block, M.M. Factorization theorems for high energy nn, \(\gamma p\) and \(\gamma\gamma\) scattering. Eur. Phys. J. C 30, 497–501 (2003). https://doi.org/10.1140/epjc/s2003-01318-x
Issue Date:
DOI: https://doi.org/10.1140/epjc/s2003-01318-x