  Statistical measures of chaos have long been used in the study of chaotic
dynamics in the framework of the interacting boson model. The use of large
number of bosons renders additional studies of chaos possible, that can provide
a direct comparison with similar classical studies of chaos. We intend to
provide complete quantum chaotic dynamics at zero angular momentum in the
vicinity of the arc of regularity and link the results of the study of chaos
using statistical measures with those of the study of chaos using classical
measures. Statistical measures of chaos are applied on the spectrum and the
transition intensities of 0+ states in the framework of the interacting boson
model. The energy dependence of chaos is provided for the first time using
statistical measures of chaos. The position of the arc of regularity was also
found to be stable in the limit of large boson numbers. The results of the
study of chaos using statistical measures are consistent with previous studies
using classical measures of chaos, as well as with studies using statistical
measures of chaos, but for small number of bosons and states with angular
momentum greater than 2.
