Spectral analysis of the chiral quark soliton model
We present mathematically rigorous analysis of a Dirac operator $H$ describing the Hamiltonian of the chiral quark soliton model in nuclear physics. The following aspects are investigated:
(i) a supersymmetric structure of the model;
(ii) the identification of the essential spectrum of $H$;
(iii) an upper bound for the number of discrete eignevalues of $H$;
(iv) existence of discrete positive or negative ground states of $H$;
(v) symmetry reduction of $H$.