Chirality symmetry breaking in triaxial nuclei

Chirality of rotating triaxial nuclei is introduced as Spontaneously Broken Symmetry (SBS) of the mean field. This SBS mechanism has played a central role in elucidating the intrinsic structures of quantum many body systems. What all is possible from the experimental analysis of a bound quantum many body system is a set of energy levels that are labeled by the quantum numbers related to the symmetries preserved by the system. For instance, for the case of atomic nucleus the energy levels are labelled by angular-momentum and parity quantum numbers that are related to the rotational and reflection symmetries. It is through breaking of these symmetries that provides an insight into the excitation modes of the atomic nucleus. The most celebrated model that employs the symmetry breaking mechanism is the Nilsson model. This model breaks the rotational symmetry and has provided invaluable information on the structures of deformed nuclei