Effective Hadron Dynamics: From Meson Masses to the Proton Spin Puzzle

We construct a three flavor chiral Lagrangian of pseudoscalars and vectors with special emphasis on the symmetry breaking terms. Comparing tree level two and three point functions with experiment allows us to first, fix the parameters of the model (including the light quark mass ratios) and second, to predict $m(K^{*+})-m(K^{*\circ}),\, \Gamma(K^*\rightarrow K\pi)$ and $\Gamma(\phi\rightarrow K {\overline K})$. The last mentioned quantities come out reasonably well, in contrast to an ``ordinary" $SU(3)$ treatment. For this purpose we need ``second order" symmetry breakers involving the vector fields analogous to those needed for the chiral perturbation theory program with only pseudoscalars. An improved description of the $\eta-\eta^\prime$ system is also given. We then use the soliton sector of this improved chiral Lagrangian to investigate some aspects of baryon physics which are especially sensitive to symmetry breaking. For this purpose a fairly elaborate ``cranking" techinque is employed in connection with the collective Hamiltonian. In addition to the ``strong" baryon mass spectrum a careful investigation is made of the non-electromagnetic part of the neutron-proton mass difference. This work is needed to improve our previous estimates concerning the two component approach to the ``proton spin" puzzle. We find that both the ``matter" and ``glue" contributions are small but they do tend to cancel each other.Comment: 33 pages, LaTe

Semileptonic lepton number / flavor violating tau decays in Majorana neutrino models

Motivated by the recent investigation of neutrinoless $\tau$-lepton decays by the CLEO collaboration, we perform a systematic analysis of such decays in a possible new-physics scenario with heavy Dirac/Majorana neutrinos, including heavy-neutrino nondecoupling effects, finite quark masses, and quark as well as meson mixings. We find that $\tau$-lepton decays into an electron or muon and a pseudoscalar or vector meson can have branching ratios close to the experimental sensitivity. Numerical estimates show that the predominant decay modes of this kind are $\tau^-\to e^-\phi$, $\tau^-\to e^-\rho^0$, and $\tau^-\to e^-\pi^0$, with branching ratios of order $10^{-6}$.Comment: LaTeX, 24 pages, minor rewordings