Abstract
A method for the calculation of the partial scattering phases for particles with nonzero angular momenta and for effectively short-range potentials has been discussed. Solutions to the Pais equations for slow particles have been constructed. The inverse problem of the determination of a relation between the parameters of potentials and energies of scattered particles in the resonance situation has been considered.
Similar content being viewed by others
References
A. Pais, Proc. Cambridge Phil. Soc. 42, 45 (1946).
T. Titts, Sov. Phys. JETP 10, 207 (1959).
Yu. M. Bruk and A. N. Voloshchuk, Phys. Usp. 55, 161 (2012).
G. Watson, A Treatise on the Theory of Bessel Functions (Cambridge Univ. Press, Cambridge, 1944).
Yu. M. Bruk, Sov. J. Theor. Math. Phys. 66, 260 (1986).
B. S. Ishkhanov, I. M. Kapitonov, and N. P. Yudin, Particles and Atomic Nuclei (LKI, Moscow, 2007) [in Russian].
W. J. Romo and S. R. Valluri, J. Phys. B 23, 4223 (1990).
W. J. Romo and S. R. Valluri, Phys. Scripta 71, 572 (2005).
I. N. Mott and N. F. Sneddon, Wave Mechanics and Its Applications (Dover, New York, 1963; Nauka, Moscow, 1966).
T. Y. Wu and T. Omura, Quantum Theory of Scattering (Prentice-Hall, New York, 1962; Nauka, Moscow, 1969).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © Yu.M. Bruk, A.N. Voloshchuk, 2016, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 150, No. 2, pp. 288–292.
An erratum to this article can be found at http://dx.doi.org/10.1134/S1063776116140016.
Rights and permissions
About this article
Cite this article
Bruk, Y.M., Voloshchuk, A.N. Pais approximation for slow scattered and resonant particles. J. Exp. Theor. Phys. 123, 249–253 (2016). https://doi.org/10.1134/S1063776116070037
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776116070037