{ "id": "hep-ph/9902375", "version": "v1", "published": "1999-02-17T14:31:27.000Z", "updated": "1999-02-17T14:31:27.000Z", "title": "Baryon Distribution Amplitudes in QCD", "authors": [ "V. M. Braun", "S. E. Derkachov", "G. P. Korchemsky", "A. N. Manashov" ], "comment": "75 pages, LaTeX style, 18 figures embedded with epsf.sty", "journal": "Nucl.Phys. B553 (1999) 355-426", "doi": "10.1016/S0550-3213(99)00265-5", "categories": [ "hep-ph", "nlin.SI", "solv-int" ], "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 $\\lambda=3/2$ 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.", "revisions": [ { "version": "v1", "updated": "1999-02-17T14:31:27.000Z" } ], "analyses": { "keywords": [ "evolution equation", "lowest anomalous dimension", "twist light-cone baryon distribution amplitudes", "leading twist light-cone baryon distribution", "simple three-term recurrence relation" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. B" }, "note": { "typesetting": "LaTeX", "pages": 75, "language": "en", "license": "arXiv", "status": "editable", "inspire": 495439 } } }