In this talk, we review our recent work about the dynamical studies of Z+(4430) and X(3872). Z+(4430) can not be explained as a D1D ∗ or D1D∗ molecular state only considering one pion exchange potential without the cutoff, which needs to be confirmed by introducing sigma exchange potential and adding the cutoff in the effective potential. One also excludes the possibility of X(3872) as a DD∗ mo...

In this talk I look into three different topics, addressing first the possibility that the Θ is a bound state of KπN , exploiting the results of this study to find out the contribution of two meson and one baryon components in the baryon antidecuplet and in the third place I present results on a new resonant exotic baryonic state which appears as dynamically generated by the Weinberg Tomozawa ∆...

The wave propagation in a one-dimensional nonhomogeneous medium is considered, where the wave speed and the restoring force depend on location. In the frequency domain this is equivalent to the Schrijdinger equation d2$/dx2 + k211, = k2P(x)II, + Q(x)Jt with an added potential proportional to energy. The scattering and bound-state solutions of this equation are studied and the properties of the ...

The past leaves the surprising experimental successes of the simple constituent quark model to be expained by QCD. Surprising agreement with experiment from simple Sakharov-Zeldovich model (1966) having quarks with effective masses and hyperfine interaction. Nambu’s (1966) Colored quarks with gauge gluons gave mass spectrum with only qqq and q̄ bound states. The future opens the way to new insig...

A representation for the fermionic determinant of the massive Schwinger model, or QED 2 , is obtained that makes a clean separation between the Schwinger model and its massive counterpart. From this it is shown that the index theorem for QED 2 follows from gauge in-variance, that the Schwinger model's contribution to the determinant is canceled in the weak field limit, and that the determinant ...

We show that the sphaleron energy which identifies with the (instanton) potential barrier for B-violation is reduced in the presence (background) of an electroweak Z-string. We also show that for large enough Higgs coupling, λ, the sphaleron energy can go negative. For such λ, electroweak Z-strings can reduce their energy by accumulating sphaleron bound states. This further endows them with bar...

_ By requiring the "bound state" of particle and quantum to have the mass of the particle and be physically indistinguishable from the particle we derive fully covariant and unitary equations for particle particle scattering; these reduce to the Lippmann-Schwinger equation for Yukawa potential scattering in the nonrelativistic kinematic region and provide a new definition of the "nuclear potent...

The classification of scalar and vector mesons is reviewed within the framework of the Resonance-Spectrum Expansion (RSE). This method allows a simple and straightforward description of non-exotic meson-meson scattering, incorporating the effects of quark confinement and OZI-allowed decay in a fully nonperturbative way. Results for resonances and bound states are compared to experiment, on the ...

Decays of a bound state of a quark and its antiquark, quarkonium, provide an excellent laboratory for studying QCD. Particularly, heavy quarkonia such as charmonium states are less relativistic, thus play a special role in probing strong interactions. CLEO recently has accumulated data taken at the ψ(2S) resonance, providing a total of 27M ψ(2S) decays. With the combination of this large statis...