Level density fluctuations and characterization of chaos in the realistic model spectra for odd-odd nuclei

Statistical properties of the realistic energy spectra of the odd-odd nuclei ¹⁰⁶Ag, ¹⁹⁸Au, ¹³⁴Cs, ⁴⁰K and ⁹⁴Rb, calculated within the Interacting Boson Fermion Fermion Model, are investigated by means of the Δ₃ statistics and the Nearest Neighbor Spacing Distribution method. New probability distribution function, which describes well the calculated results and enables the characterization of chaos with a physically meaningfull parameter, is proposed. Level spacing fluctuations of the examined nuclei exhibit the transitional behavior between Poisson and GOE limits, revealing different degrees of chaoticity in their dynamics.