By Dr. Werner Hofmann (auth.)
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Additional resources for Jets of Hadrons
Quark "a" then combines with an antiquark, say "6", from the new pair "bb" to form a meson "ab" leaving the remaining quark "b" to combine with a next quark "E" and so on. The primary meson "ab" may be d i r e c t l y observed as a 36 stable meson, or i t may be an unstable resonance which subsequently decays. 6 (here and in a l l f u r t h e r diagrams we have adopted the convention to plot antiquarks as quarks moving backwards along t h e i r world l i n e s ) . The chain decay ansatz assumes that i f the primary meson of rank I carries away a momentum ~ I ' the f u r t h e r cascade s t a r t s with a quark "b" with the momentum Pl = PO-~I and the remaining hadrons are d i s t r i b u t e d in the same way as i f they came from a j e t originated by a quark of type "b" with momentum PI' I t is assumed that the momenta are high enough, so that a l l d i s t r i b u t i o n s scale.
In an i n f i n i t e momentum frame, HN depends on the f r a c t i o n a l momenta x of clusters of the type N and on t h e i r transverse momenta. The i n t u i t i v e picture suggested by WILSON /105/ and POLYAKOV / I 0 6 / was that at large N the coupling constant describing parton-parton interactions becomes constant and thus the r a t i o of t y p i c a l scales RN+I/RN = ~ approaches 48 a constant at large N. In that case, the transformation connecting the Hamiltonians HN+1 and HN is also independent of N.
14) As soon as kinematically allowed, new pairs are produced in the region between the i n i t i a l quark and a quark of the f i r s t pair, etc. Quarks and antiquarks produced at different points C and D in space-time may join to form a meson E. 15 determines the minimum space-time distance of the production points of quarks appearing in f i n a l state mesons. 15), p a r t i c l e s are emitted from a hyperbola-like spacetime region as in the Schwinger model. Two remarks for the sake of completeness w i l l be made: In p r i n c i p l e i t is possible that a quark pair has a large invariant mass m >> I GeV.
Jets of Hadrons by Dr. Werner Hofmann (auth.)