A Self-consistent Solution Of Meson Field In Chiral Quark Soliton Model

In this paper, we use the Kahanna-Ripka numerical method with a different chiral angle to diagonize the single quark Hamiltonian in the free single quark Hamiltonian representation to calculate the quark orbital from winding number n=1to n=3. We found that the parameter D from Kahanna-Ripka boundary conditions with a value D>35/M is larger than those of the exponential or linear chiral angle from previous works. Besides, we find that an extra0+orbitals enters the Dirac sea as the soliton size parameter R gets larger for n=3. The results from n=1to n=3prove that the baryon number equals to the winding number more convincingly. We also use this chiral angle to give the solution of the mean-field equation of the system with baryon number B=1for the first iteration. For different chiral angles, we found that the result from the initial exponential chiral angle is more close to the self-consistent one after the first iteration than the other chiral angles. This is probably due to the more similar configuration between the more accurate self-consistent solution and the initial exponential chiral angle.