Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-02-17
Nucl.Phys. B553 (1999) 355-426
Physics
High Energy Physics
High Energy Physics - Phenomenology
75 pages, LaTeX style, 18 figures embedded with epsf.sty
Scientific paper
10.1016/S0550-3213(99)00265-5
We develop a new theoretical framework for the description of leading twist light-cone baryon distribution amplitudes which is based on integrability of the helicity $\lambda=3/2$ evolution equation to leading logarithmic accuracy. A physical interpretation is that one can identify a new `hidden' quantum number which distinguishes components in the $\lambda=3/2$ distribution amplitudes with different scale dependence. The solution of the corresponding evolution equation is reduced to a simple three-term recurrence relation. The exact analytic solution is found for the component with the lowest anomalous dimension for all moments $N$, and the WKB-type expansion is constructed for other levels, which becomes asymptotically exact at large $N$. Evolution equations for the $\lambda=1/2$ distribution amplitudes (e.g. for the nucleon) are studied as well. We find that the two lowest anomalous dimensions for the $\lambda=1/2$ operators (one for each parity) are separated from the rest of the spectrum by a finite `mass gap'. These special states can be interpreted as scalar diquarks.
Braun Vladimir M.
Derkachov Sergey E.
Korchemsky Gregory P.
Manashov Alexander N.
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