Baryon distribution amplitudes in QCD
Feb, 1999
75 pages
Published in:
- Nucl.Phys.B 553 (1999) 355-426
e-Print:
- hep-ph/9902375 [hep-ph]
Report number:
- LPT-ORSAY-98-83,
- NORDITA-99-11-HE,
- SPBU-IP-99-04
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Abstract:
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 evolution equation to leading logarithmic accuracy. A physical interpretation is that one can identify a new `hidden' quantum number which distinguishes components in the 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 , and the WKB-type expansion is constructed for other levels, which becomes asymptotically exact at large . Evolution equations for the distribution amplitudes (e.g. for the nucleon) are studied as well. We find that the two lowest anomalous dimensions for the 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.Note:
- 75 pages, LaTeX style, 18 figures embedded with epsf.sty Report-no: LPT-Orsay-98-83, NORDITA-99-11-HE, SPbU-IP-99-04
- baryon: wave function
- helicity
- quantum chromodynamics
- effect: higher-twist
- light cone
- renormalization
- invariance: conformal
- group theory
- integrability
- symmetry: discrete
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