The spectral statistics of low–lying states of f p shell nuclei are studied by performing large shell–model calculations with a realistic nuclear interaction. For Ca isotopes, we find deviations from the predictions of the random–matrix theory which suggest that some spherical nuclei are not as chaotic in nature as the conventional view assumes.

The explanation of the asymmetry in the fragment mass distributions of many actinide nuclei has long been a stumblestone in fission theory. Shortly after the advent of the shell model, Lise Meitner related the mass asymmetry to shell structure, in particular to magic nucleon numbers in one of the fragments. Indeed, since the classical liquid drop model (LDM) prefers symmetric shapes, the mass a...

A method for solving the shell-model eigenproblem in a severely truncated space, spanned by properly selected correlated states obtained by partitioning the full configuration space, is proposed. The method describes in a practically exact way the low energy spectroscopic properties of nuclei, as exemplified in schematic models. The applicability of the method to heavy nuclei as well as in cont...

We review the nuclear parton distribution functions computed on the basis of our microscopic model taking into account a number of nuclear effects including Fermi motion and nuclear binding, nuclear meson-exchange currents, off-shell corrections to bound nucleon distributions and nuclear shadowing. We discuss applications to a number of different processes including leptonnucleus deep inelastic...

The feasibility of shell-model calculations is radically extended by the Quantum Monte Carlo Diagonalization method with various essential improvements. The major improvements are made in the sampling for the generation of shell-model basis vectors, and in the restoration of symmetries such as angular momentum and isospin. Consequently the level structure of low-lying states can be studied with...

We present a practical solution to the " sign problem " in the auxiliary field Monte Carlo approach to the nuclear shell model. The method is based on extrapolation from a continuous family of problem-free Hamiltonians. To demonstrate the resultant ability to treat large shell-model problems, we present results for 54 Fe in the full f p-shell basis using the Brown-Richter interaction. We find t...

E. Caurier, ∗ G. Mart́ınez-Pinedo, 3, † F. Nowacki, ‡ A. Poves, § and A. P. Zuker ¶ Institut de Recherches Subatomiques, IN2P3-CNRS, Université Louis Pasteur, F-67037 Strasbourg, France Institut d’Estudis Espacials de Catalunya, Edifici Nexus, Gran Capità 2, E-08034 Barcelona, Spain Institució Catalana de Recerca i Estudis Avançats, Llúıs Companys 23, E-08010 Barcelona, Spain Departamento de F́ıs...

Recently no-core shell-model calculations have been performed @1,2#, in which all nucleons are active, so there are no hole states. This approach avoids the use of shell-model effective interactions involving excitations from an inert core of nucleons ~e.g., the core-polarization process!, and thereby avoids the convergence problems of the standard effectiveinteraction approach @3#. In this pap...

While the no-core shell model is a state-of-the-art microscopic approach to low-energy nuclear structure, its intense computational requirements lead us to consider timehonored approximations such as the Hartree-Fock (HF) approximation and the random phase approximation (RPA). We review RPA and point out some common misunderstandings, then apply HF+RPA to the no-core shell model. Here the main ...