Shell model is a conventional tool for nuclear structure studies. Some states obtained in such studies belong to the continuum nuclear spectrum, i.e. their energies are above nuclear dissociation thresholds. These energies are conventionally associated with the energies of resonances in respective nuclear systems that is justified only in the case of narrow resonances. In this contribution, we ...

The authors review the evidence for the applicability of random–matrix theory to nuclear spectra. In analogy to systems with few degrees of freedom, one speaks of chaos (more accurately: quantum chaos) in nuclei whenever random–matrix predictions are fulfilled. An introduction into the basic concepts of random–matrix theory is followed by a survey over the extant experimental information on spe...

The Monte Carlo shell model is a powerful technique for computational nuclear structure. Only a certain class of nuclear interactions, however, such as pairing and quadrupole, are free of the numerical noise known as the sign problem. This paper presents sum rules that relate the sign problem to the J = 0 pairing matrix elements, thus illuminating the extrapolation procedure routinely used for ...

Semiclassical analysis of shell structures in realistic nuclear potentials are presented using periodicorbit theory. We adopted r potential model and examined classical-quantum correspondence using Fourier transformation technique. Spin-orbit coupling is also taken into account in the model Hamiltonian. Gross shell structure for a certain combination of surface diffuseness and spin-orbit parame...

The nuclear system is a promising area for demonstrating practical quantum advantage. A comprehensive computation of in classical computer beyond the capacity current computers. With rapid development hardware, prospect using computers physics close at hand. In this paper, we report full package, QCSH, solving shell model computer. QCSH uses linear combination unitary formalism computing and pe...