We discuss the physics of superbeam upgrades, where we focus on T2KK, a NuMI beam line based experiment NOνA*, and a wide band beam (WBB) experiment independent of the NuMI beam line. For T2KK, we find that the Japan-Korea baseline helps resolve parameter degeneracies, but the improvement due to correlated systematics between the two detectors (using identical detectors) is only moderate. For a...

The spectrum of gluons in the presence of a static quark-antiquark pair is studied using Monte Carlo simulations on anisotropic space-time lattices. For very small quark-antiquark separations R, the level orderings and approximate degeneracies disagree with the expectations from an effective string theory. As the quarkantiquark separation R increases, a dramatic rearrangement of the energies oc...

It now appears phenomenologically that the third family may be essentially diierent from the rst two. Particularly the high value of the top quark mass suggests a special role. In the standard model all three families are treated similarly becoming exactly the same at asymptotically high energies] so I need to extend the model to accommodate the goal of a really diierent third family. In this a...

Self-avoiding walks on a three-dimensional ~3D! simple cubic lattice are often used to model polymers, especially proteins. The Hamiltonian is generally taken to be a function of contacts between sequentially nonadjacent residues. The set of all conformations having a particular set of contacts occupies the same energy level, and one would like to estimate the degeneracy or chain entropy of the...

In the field of quantum chaos, the study of energy levels plays an important role. The aim of this review paper is to critically discuss some of the main contributions regarding the connection between classical dynamics, semi-classical quantization and spectral statistics of energy levels. In particular , we analyze in detail degeneracies and quasi-crossings in the eigenvalues of quantum Hamilt...

The evolution of single-particle energies with varying isospin asymmetry in the shell model is an important issue when predicting changes in the shell structure for exotic nuclei. In many cases pseudospin partner levels, that are almost degenerate in energy for stable nuclei, are relevant in extracting the size of the shell gaps. A breaking of the pseudospin symmetry can affect the size of thes...

We study how the eightfold-degeneracy in the (θ13, δ) plane observed in γ ∼ 100 β-beams can be reduced by periodically changing the ions in the storage ring. This “ions cocktail” allows to change the neutrino energy, at fixed γ, by choosing ions with different decay energies. We propose to combine the standard He and Ne beams with Li and B ones. These latter two ions have peaked νe → νμ oscilla...

The one-dimensional problem of N particles with contact interaction in the presence of a tunable transmitting and reflecting impurity is investigated along the lines of the coordinate Bethe ansatz. As a result, the system is shown to be exactly solvable by determining the eigenfunctions and the energy spectrum. The latter is given by the solutions of the Bethe ansatz equations which we establis...

Quantum entanglement properties of the pseudo-spin representation of the BCS model is investigated. In case of degenerate energy levels, where wave functions take a particularly simple form, spontaneous breaking of exchange symmetry under local noise is studied. Even if the Hamiltonian has the same symmetry, it is shown that there is a non-zero probability to end up with a nonsymmetric final st...