Abstract:
According to microscopic calculations with antisymmetrized molecular dynamics, we studied cluster features in stable and unstable nuclei. A variety of structure was found in stable and unstable nuclei in the $p$-shell and $sd$-shell regions. The structure of excited states of $^{12}$Be was investigated, while in $sd$-shell nuclei we focused on molecular states and deformed states. The deformed states in $^{28}$Si and $^{40}$Ca were discussed in connection with the high-lying molecular states. Appealing molecular states in $^{36}$Ar and $^{24}$Mg were suggested. The results signified that both clustering of nucleons and mean-field formation are essential features in $sd$-shell nuclei as well as $p$-shell nuclei.

Abstract:
Structures of $p$- and $sd$-shell nuclei are studied with the deformed-basis antisymmetrized molecular dynamics method using the Gogny D1S and Skyrme SLy7 forces as effective interactions. By the energy variation with a constraint, energy curves as functions of quadrupole deformation parameter $\beta$ are obtained. The energy curves for $sd$-shell nuclei show structure change as a function of $\beta$, and suggest shape coexistence. Nuclear structures in the deformed region are discussed focusing on deformations and clustering. It is found that the deformations often involve cluster structures. Effective-interaction dependence is also discussed comparing the results obtained with the two effective interactions. Although the two forces give similar results when cluster structures do not develop clearly, they give different energies in the largely deformed region when an $\alpha$ cluster develops.

Abstract:
One Delta- isobar components of the wave function in closed shell nuclei are considered within the framework of the harmonic oscillator model. Conventional transition potential is the pi- and rho- exchange potential. On the basis of the Delta- isobar configuration wave function, the momentum distribution of the Delta- isobar is calculated for the light nuclei $^4 He$,$^{16}O$,$^{12}C$

Abstract:
We introduce an algorithm to obtain coefficients of fractional parentage for light $p$-shell nuclei. The coefficients enable to use Jacobi coordinates in no-core shell model calculations separating off the center-of-mass motion. Fully antisymmetrized basis states are given together with recoupling coefficients that allow one to apply two- and three-nucleon operators. As an example, we study the dependence on the harmonic oscillator frequency of $^3$H, $^4$He, $^6$He, $^6$Li and $^7$Li and extract their binding and excitation energies. The coefficients will be made openly accessible as HDF5 data files.

Abstract:
Alpha clustering in nuclei, at present is a well studied and reasonably well accepted property of the nucleus. Less well appreciated and more ambiguous is the role of A=3 clustering, i.e. helion and triton, in nuclei. Here we try to place A=3 clustering in nuclei into its proper perspective, first by pointing out strong experimental evidences which indicate its clear presence in nuclei and secondly showing as to how to include these A=3 clusters in a proper and consistent theoretical understanding of the nuclear phenomenon.

Abstract:
In this talk I shall discuss the clustering aspect and the shell model. I shall first discuss the $\alpha$-cluster aspects based on the shell model calculations. Then I shall discuss the spin zero ground state dominance in the presence of random interactions and a new type of cluster structure for fermions in a single-$j$ shell in the presence of only pairing interaction with the largest multiplicity.

Abstract:
Theoretical predictions and experimental discoveries for neutron-rich, short-lived nuclei far from stability indicate that the familiar concept of nucleonic shell structure should be considered as less robust than previously thought. The notion of single-particle motion in exotic nuclei is reviewed with a particular focus on three aspects: (i) variations of nuclear mean field with neutron excess due to tensor interactions; (ii) importance of many-body correlations; and (iii) influence of open channels on properties of weakly bound and unbound nuclear states.

Abstract:
The nucleon separation energies and shell gaps in nuclei over the whole nuclear chart are systematically studied with eight global nuclear mass models. For unmeasured neutron-rich and super-heavy regions, the uncertainty of the predictions from these different mass models is still large. The latest version (WS4) of the Weizs\"acker-Skyrme mass formula, in which the isospin dependence of model parameters is introduced into the macroscopic-microscopic approach inspired by the Skyrme energy-density functional, is found to be the most accurate one in the descriptions of nuclear masses, separation energies and shell gaps. Based on the predicted shell gaps in nuclei, the possible magic numbers in super-heavy nuclei region are investigated. In addition to the shell closures at $N=184, Z=114$, the sub-shell closures at around $N=178, Z=120$ could also play a role for the stability of super-heavy nuclei.

Abstract:
The Bloch-Horowitz (BH) equation has been successfully applied to calculating the binding energies of the deuteron and 3H/3He systems. For the three-body systems, BH was found to be perturbative for certain choices of the harmonic oscillator (HO) parameter b. We extend upon this work by applying this formalism to the alpha particle and certain five-, six-, and seven-body nuclei in the p-shell. Furthermore, we use only the leading order BH term and work in the smallest allowed included-spaces for each few-body system (0hw and 2hw). We show how to calculate A-body matrix elements within this formalism. Stationary solutions are found for all nuclei investigated within this work. The calculated binding energy of the alpha particle differs by ~1 MeV from Faddeev-Yakubovsky calculations. However, calculated energies of p-shell nuclei are underbound, leaving p-shell nuclei that are susceptible to cluster breakup. Furthermore, convergence is suspect when the size of the included-space is increased. We attribute this undesirable behavior to lack of a sufficiently binding mean-field.

Abstract:
Performing a shell model calculation for heavy nuclei has been a long-standing problem in nuclear physics. Here we propose one possible solution. The central idea of this proposal is to take the advantages of two existing models, the Projected Shell Model (PSM) and the Fermion Dynamical Symmetry Model (FDSM), to construct a multi-shell shell model. The PSM is an efficient method of coupling quasi-particle excitations to the high-spin rotational motion, whereas the FDSM contains a successful truncation scheme for the low-spin collective modes from the spherical to the well-deformed region. The new shell model is expected to describe simultaneously the single-particle and the low-lying collective excitations of all known types, yet keeping the model space tractable even for the heaviest nuclear systems.