Abstract
We use a new representation for the semiclassical Green’s function of the Dirac equation in the Coulomb field to find an exact (in the parameter Zα) expression for the amplitudes of small-angle Delbru ck scattering of high-energy photons. The values of these amplitudes agree with those obtained in earlier calculations, but the structure of the expressions is much simpler than that of previously known representations, which makes numerical calculations much easier.
Similar content being viewed by others
References
L. Meitner, H. Kosters, and M. Delbruck, Z. Phys. 84, 137 (1933).
A. I. Milshtein and M. Schumacher, Phys. Rep. 243, 183 (1994).
Sh. Zh. Akhmadaliev, G. Ya. Kezerashvili, S. G. Klimenko, V. M. Malyshev, A. L. Maslennikov, A. M. Milov, A. I. Milstein, N. Yu. Muchnoi, A. I. Naumenkov, V. S. Panin, S. V. Peleganchuk, V. G. Popov, G. E. Pospelov, I. Ya. Protopopov, L. V. Romanov, A. G. Shamov, D. N. Shatilov, E. A. Simonov, and Yu. A. Tikhonov, Phys. Rev. C 58, 2844 (1998).
M. Cheng and T. T. Wu, Phys. Rev. 182, 1873 (1969).
M. Cheng and T. T. Wu, Phys. Rev. D 2, 2444 (1970).
M. Cheng and T. T. Wu, Phys. Rev. D 5, 3077 (1972).
A. I. Milstein and V. M. Strakhovenko, Phys. Lett. A 95, 135 (1983).
A. I. Mil’shtein and V. M. Strakhovenko, Zh. Éksp. Teor. Fiz. 85, 14 (1983) [Sov. Phys. JETP 58, 8 (1983)].
R. N. Lee and A. I. Milstein, Phys. Lett. A 198, 217 (1995).
R. N. Li and A. I. Mil’shtein, Zh. Éksp. Teor. Fiz. 107, 1393 (1995) [JETP 80, 777 (1995)].
Sh. Zh. Akhmadaliev, G. Ya. Kezerashvili, S. G. Klimenko et al., in Proc. Int. Conf. PHOTON’97, Egmond-aan Zee, The Netherlands, A. Buijs and F. C. Erne (Eds.), World Scientific, Singapore (1997), p. 246.
R. N. Li, A. I. Mil’shtein, and V. M. Strakhovenko, Zh. Éksp. Teor. Fiz. 112, 1921 (1997) [JETP 85, 1049 (1997)].
R. N. Lee, A. I. Milstein, and V. M. Strakhovenko, Phys. Rev. A 57, 2325 (1998).
R. N. Lee, A. I. Milstein, and V. M. Strakhovenko, Phys. Rev. A 58, 1757 (1998).
Author information
Authors and Affiliations
Additional information
Zh. Éksp. Teor. Fiz. 116, 78–84 (July 1999)
Rights and permissions
About this article
Cite this article
Li, R.N., Mil’shtein, A.I. & Strakhovenko, V.M. Simple analytical representation for Delbrück scattering amplitudes at high energies. J. Exp. Theor. Phys. 89, 41–44 (1999). https://doi.org/10.1134/1.558953
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.558953