@article{590c89ea680e4a0c8108aa504b504fad,

title = "High-energy fixed-angle elastic scattering",

abstract = "The leading behavior of high-energy, fixed-angle, hadron-hadron scattering is obtained in a model in which on-mass-shell colored quarks exchange colored gluons. The resultant differential cross sections are compared with the data, indicating that such a mechanism does not dominate the physical scattering process.",

author = "Farrar, {Glennys R.} and Wu, {Cheng Chin}",

note = "Funding Information: Here n is the minimum number of quanta scattered (quarks, photons, leptons, etc.) and f(O) is an unknown function of angles. This dimensional scaling law (always modulo logarithms) gives the leading behavior of all diagrams in renormalizable (not super-or non-renormalizable) theories with one class of.exceptions \[2\].A s pointed out by Landshoff \[3\]e, q. (1) does not hold if the wide angle scattering can take place by independent on-mass-shell scatterings in which each constituent of one hadron scatters at wide angle on a constituent of the other hadron in such a way that the constituents' final momenta are aligned in the direction of the final-state hadrons. If quark constituents are assumed, Landshoff found that the asymptotic differential cross section do/dr (~ s-21MI2), for meson-meson and baryon-baryon scattering are s-5f(O) and s-8f(O) respectively, as opposed to s-6f(O) and s-lOf(o) given by eq. (1). Technically this difference results from a pinch singularity in diagrams having only on-shell (or almost on-shell) quarks which causes an mqlark to ap- pear in the amplitude, thus introducing a fundamental mass scale which persists even at large energies. * Work supported in part by the US Atomic Energy Commission. Prepared under contract AT(11-1)-68 for the San Francisco Operations Office, US Atomic Energy Commission.",

year = "1975",

month = jan,

day = "20",

doi = "10.1016/0550-3213(75)90556-8",

language = "English (US)",

volume = "85",

pages = "50--60",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "1",

}