28,844 research outputs found

    On the nature of the lightest scalar resonances

    Full text link
    We briefly review the recent progresses in the new unitarization approach being developed by us. Especially we discuss the large NcN_c ππ\pi\pi scatterings by making use of the partial wave SS matrix parametrization form. We find that the σ\sigma pole may move to the negative real axis on the second sheet of the complex ss plane, therefore it raises the interesting question that this `σ\sigma' pole may be related to the σ\sigma in the linear σ\sigma model.Comment: Talk presented by Zheng at ``Quark Confinement and Hadron Spectroscopy VI'', 21--25 Sept. 2004, Cagliari, Italy. 3 pages with 2 figure

    Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems

    Full text link
    Surface impedance is an important concept in classical wave systems such as photonic crystals (PCs). For example, the condition of an interface state formation in the interfacial region of two different one-dimensional PCs is simply Z_SL +Z_SR=0, where Z_SL (Z_SR)is the surface impedance of the semi-infinite PC on the left- (right-) hand side of the interface. Here, we also show a rigorous relation between the surface impedance of a one-dimensional PC and its bulk properties through the geometrical (Zak) phases of the bulk bands, which can be used to determine the existence or non-existence of interface states at the interface of the two PCs in a particular band gap. Our results hold for any PCs with inversion symmetry, independent of the frequency of the gap and the symmetry point where the gap lies in the Brillouin Zone. Our results provide new insights on the relationship between surface scattering properties, the bulk band properties and the formation of interface states, which in turn can enable the design of systems with interface states in a rational manner
    • 

    corecore