Amplitude of Elastic Scattering for the Region of Large Impact Parameters
Abstract
The work is dedicated to consequences of analyticity and unitarity of
the scattering amplitude. Using the
Gaussian quasipotential an equation for the scattering amplitude matrix is
obtained and formula is derived for the cross sections. The dependence of the
cross section and ratio of the real part of the amplitude in the forward
scattering to its imaginary part of on the momentum are discussed. The steep
Gaussian peak for cross section at small angles is followed by the exponential
(Orear) regime. Results from theoretical approach are compared with
experimental data.
Keywords
scattering amplitude,unitarity,cross section,impact parameter,Quasipotential,impact parameter
References
- [1]. C.A. Bertulani and G. Baur, N. Ph, 1988, A 480, 615- 628.
- [2]. N. P. Zotov, V. A. Tsarev, Sov. Phys.Uspekhi, 1988, 31 (2), 119–139.
- [3]. D. Kiang, S.H Ling, K.Young, C.S. Lam, Phys.Rev. D, 1985, 31-35.
- [4]. A.A. Logunov and A.N. Tavkhelidze, Nuovo Cim. 1963, 29, (2), 380-399.
- [5]. Yu.D. Chernichenko Physics of Atomic Nuclei, 2015, Vol. 78, (2), 201–214.
- [6]. W. Ulmer. Jour Proton Ther. 2015;1:117. DOI: http://dx.doi.org/10.14319/jpt.11.7
- [7]. Bartók-Pártay, DOI: 10.1007/978-3-642-14067-9,7, Springer-Verlag Berlin Heidelberg, 2010, p. 83.
- [8]. S.G. Abdulvahabova, E.A. Rasulov, Proceeding of International workshop “Quantum particles, fields and strings” Fizika, 2002, (3), 83- 85.
- [9]. H.S. Hans. Nuclear Physics: Experimental and Theoretical. New Age Pulisher, 2001, p.787
- [10]. N. P. Zotov, S.V. Rusakov, V. A. Tsarev. PEPAN, 1980, V.11(5), 1160-1223.