Large-order trend of the anomalous-dimensions spectrum of bilinear twist-3quark operators

The anomalous dimensions of trilinear-quark operators are calculated at lea ding twist t = 3 by diagonalizing the one-gluon exchange kernel of the reno rmalization-group type evolution equation for the nucleon distribution ampl itude. This is done within a symmetrized basis of Appell polynomials of max imum degree M for M >> 1 (up to order 400) by combining analytical and nume rical algorithms. The calculated anomalous dimensions form a degenerate sys tem, whose upper envelope shows asymptotically logarithmic behavior. (C) 19 99 Published by Elsevier Science B.V. All rights reserved.