Summary
The invariant Mandelstam variabless andt used in two-body elastic scattering are introduced into the generating function for Legendre polynomials in two distinct ways. The newly derived polynomials,R n(s1/2/2 + t/s1/2) andQ n[-t/(2s1/2], have generating functions which are propagators with applications in particle physics.
Similar content being viewed by others
References
H. M. Pilkuhn:Relativistic Particle Physics (Springer-Verlag, New York, N. Y., 1979).
F. W. Byron andR. W. Fuller:Mathematics of Classical and Quantum Physics (Addison-Wesley Publ. Co., Menlo Park, Cal., 1970).
F. Halzen andA. D. Martin:Quarks and Leptons (John Wiley and Sons, New York, N. Y. 1984).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Buchl, E.A. Polynomial generating functions in two-body elastic scattering. Lett. Nuovo Cimento 42, 411–414 (1985). https://doi.org/10.1007/BF02749445
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02749445