Summary
A non group-theoretical approach to the conspiracy problem, based on analyticity, crossing symmetry and factorization, is presented. The solutions to all the physically interesting cases are given. A classification of Regge-pole families is deduced.
Riassunto
Si presenta un approccio non gruppistico al problema delle cospirazioni, basato sulle proprietà di analiticità, simmetria di cressing e fattorizzazione. Si determinano le soluzioni per tutti i casi di interesse fisico e si deduce una classificazione per le famiglie di poli di Regge.
Реэуме
предлагается не теоретико-групповои подход к проблеме конспиративности, основанныи на аналитичности, кроссинг-симметрии и факториэации. получаутся рещения для всех фиэически интересных случаев. проводится лкасси-фикация семеиств полусов редзе.
Similar content being viewed by others
References
M. Toller: Nuovo Cimento, 37, 631 (1965).
A. Sciarrino and M. Toller: Journ. Math. Phys., 7, 1670 (1967).
M. Toller: Nuovo Cimento, 53 A, 671 (1968).
D. Z. Freedman and J. M. Wang: Phys. Rev., 160, 1560 (1967).
G. Domokos: Phys. Lett., 24 B, 293 (1967).
R. Delbourgo, A. Salam and J. Strathdee: Phys. Lett., 25 B, 230 (1967).
G. Domokos and G. L. Tindle: Phys. Rev., 165, 1906 (1968).
G. Cosenza, A. Sciarrino and M. Toller: Phys. Lett., 27 B, 398 (1968).
P. Di Vecchia and F. Drago: Phys. Rev., 178, 2329 (1969).
D. Z. Freedman and J. M. Wang: Phys. Rev., 160, 1560 (1967).
P. Di Vecchia and F. Drago: Phys. Lett., 27 B, 387 (1968).
J. B. Bronzan and C. E. Jones: Phys. Rev. Lett., 21, 564 (1968).
P. Di Vecchia and F. Drago: Nuovo Cimento, 61 A, 421 (1969).
J. B. Bronzan, C. E. Jones and P. K. Kuo: Phys. Rev., 175, 2200 (1968).
A. Capella, A. P. Contogouris and J. Tran Thanh Van: Phys. Rev., 175, 1892 (1968).
P. Di Vecchia, F. Drago and M. L. Paciello: Nuovo Cimento, 56 A, 1185 (1968).
M. Jacob and G. C. Wick: Ann. of Phys., 7, 404 (1959).
M. Gell-Mann, M. L. Goldberger, F. E. Low, E. Marx and F. Zachariasen: Phys. Rev., 133 B, 145 (1964).
Y. Hara: Phys. Rev., 136 B, 507 (1964).
L. L. Wang: Phys. Rev., 142, 1187 (1966).
The factor 1/2, which was present in the constraints (2.4) in ref. (18), has been eliminated becaused of the √2 factor in the definition (2.1) of the helicity amplitudes free s kinematical singularities. The constraints EU have been derived independently by J. D. Stack (23).
J. D. Stack: Phys. Rev., 171, 1666 (1968).
M. L. Goldberger, M. T. Grisaru, S. W. Mac Dowell and D. Y. Wong: Phys. Rev., 120, 2250 (1960).
F. Arbab and J. D. Jackson: Phys. Rev., 176, 1796 (1968).
The behaviour given above is different from that reported in ref. (18) because there the singularity structure at t=0 of the residues of the daughter trajectories was included in γ.
M. Le Bellac: Nuovo Cimento, 55 A, 318 (1968).
M. A. Jacobs and M. H. Vaughn: Phys. Rev., 172, 1677 (1968).
G. Cohen-Tannoudji, A. Morel and H. Navelet: Ann. of Phys., 46, 239 (1968).
S. Frautschi and L. Jones: Phys. Rev., 167, 1335 (1968).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Di Vecchia, P., Drago, F. Minimal solutions to the conspiracy problem and classification of Regge-pole families. - II. Nuovo Cimento A (1965-1970) 63, 1247–1266 (1969). https://doi.org/10.1007/BF02754934
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02754934