The chiral sigma model, embedded in the chiral-bag 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 axial-vector 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 hedgehog-based approximation.Kiralni sigma model, smješten u okolišu kiralne vreće je rješen pomoću uvrštenja (“ansatz”) koji čuva izospin i spin, svaki posebno. To kiralno uvrštenje je obradeno na dva načina: i) kao skup operatorskih jednadžbi, koje se riješe medu kvarkovskim stanjima i ii) Hamiltonijan se usrednji između odgovarajućih hadronskih stanja, pa se jednadžbe gibanja izvedu za ta prosječna polja. Drugi pristup je potpuno analogan uobičajenom koji upotrebljava ježevske kvarkove i koji je ovdje također reproduciran. Pokazalo se kako se energijski minimumi (tj. hadronske mase) mogu naći i na kiralnim i na ježevskim kvarkovima. Modelska predviđanja za aksijalno– vektorsku konstantu vezanja i za nukleonski magnetski moment su jednako dobra ili bolja nego ona koja su dobijena u uobičajenoj ježevskoj aproksimaciji
