CHIRAL QUARK-MODEL IN A TAMM-DANCOFF INSPIRED APPROXIMATION - ART. NO. 034003

A procedure inspired by the Tamm-Dancoff method is applied to the chir al quark model. It is illustrated here by the chiral a model embedded in the chiral bag environment. This simple model is used as an example and as the test for the Tamm-Dancoff inspired approximation (TDIA). H ere the TDIA is employed in two ways: (i) a set of field operator equa tions of motion is solved between quark states and (ii) the Hamilton f ield operator is averaged between suitable hadron states, and the equa tions of motion are derived for these mean fields. The second approach is analogous to the usual one which employs hedgehog quarks, which is also reproduced here. It turns out that the energy minimum (i.e., had ron masses) can be found with the TDIA also. Model predictions for the axial-vector coupling constant and for the nucleon magnetic moment ob tained in the TDIA are comparable to those obtained using the usual he dgehog-based approximation. The TDIA can be used in more complex model s too. [S0556-2821(98)04913-3]