

FIZIKA B 4 (1995) 1, 7179 A NONHEDGEHOG SOLUTION FOR THE CHIRAL BAGDUBRAVKO HORVAT^{*}, BORIS PODOBNIK and DUBRAVKO TADIĆ
Received 12 January 1995The chiral sigma model, embedded in the chiralbag environment, is solved by an ansatz which conserves isospin and spin separably. This chiral ansatz is treated in two ways: i) as a set of operator equations of motion solved between quark states and ii) the hamilton operator is averaged between suitable hadron states, and the equations of motion are derived for these mean fields. The second approach is completely analogous to the usual one which employs hedgehog quarks, which is also reproduced here. It turns out that the energy minimum (i.e. hadron masses) can be found with chiral quarks as well as with hedgehog quarks. Model predictions for the axialvector coupling constant and for the nucleon magnetic moment obtained with chiral quarks are of the same quality, or better than those obtained using the usual hedgehogbased approximation. UDC 539.12

Copyright by The Croatian Physical Society
