A parametrization of octupole plus quadrupole deformation, in terms of intrinsic variables defined in the rest frame of the overall tensor of inertia, is presented and discussed. The model is valid for situations close to the axial symmetry, but non axial deformation parameters are not frozen to zero. The properties of the octupole excitations in the deformed Thorium isotopes Th, Th are interpr...

We study the Galilean symmetry in a nonrelativistic model, recently advanced by Bak, Jackiw and Pi, involving the coupling of a nonabelian Chern-Simons term with matter fields. The validity of the Galilean algebra on the constraint surface is demonstrated in the gauge independent formalism. Then the reduced space formulation is discussed in the axial gauge using the symplectic method. An anomal...

We extend an effective Lagrangian embodying broken scale and chiral symmetry to include explicit chiral symmetry breaking and an additional chiral invariant term which allows for an axial coupling constant greater than unity. We also include a chiral Lagrangian for the isotriplet vector mesons which leads to a renormalization of the pion field. The properties of nuclear matter and nuclei, low e...

We investigate the restoration of chiral SU(3)⊗SU(3) and axial UA(1) symmetries, at finite temperature and density, in the framework of the three flavor Nambu-Jona-Lasinio model with anomaly. We implement a temperature (density) dependence of the anomaly coefficient motivated by lattice results for the topological susceptibility and we discuss the restoration of symmetries by analyzing the beha...

We discuss the role of the axial U(1)A symmetry in the chiral phase transition using the U(Nf )R× U(Nf )L linear sigma model with two massless quark flavors. We expect that above a certain temperature the axial U(1)A symmetry will be effectively restored as well as SU(Nf )R×SU(Nf )L. Then we can construct a string-like static solution of the η string and a kink-like classical solution of the do...

Chiral symmetry is expected to be approximately restored in excited baryons, which is a consequence of quite general symmetry based arguments. However, such a restoration cannot be described in the framework of naive constituent quark models. Then chiral potential quark model (Generalised Nambu-Jona-Lasinio model) is used to draw a microscopic picture of such a restoration: the axial charge ope...

We discuss the truncation of low energy effective action of QCD below the chiral symmetry breaking (CSB) scale, including all operators of dimensionality less or equal to 6 which can be built with quark and chiral fields. We perform its bosonization in the scalar, pseudoscalar, vector and axial-vector channels in the large-N c and leading-log approximation. Constraints on the coefficients of th...

The aim of this work is to propose the fully automated pathological area extraction from multi-parametric 2D MR images of brain. The proposed method is based on multi-resolution symmetry analysis and automatic thresholding. The proposed algorithm first detects the presence of pathology and then starts its extraction. T2 images are used for the presence detection and the multi-contrast MRI is us...

We continue the study of arrays of coupled identical cells that possess both global and internal symmetries, begun in part I. Here we concentrate on the ‘direct product’ case, for which the symmetry group of the system decomposes as the direct product L×G of the internal group L and the global group G. Again, the main aim is to find general existence conditions for symmetry-breaking steady-stat...