NEUTRINO MASSES AND MIXINGS
We propose a novel theoretical understanding of neutrino masses and mixings, which is attributed to the left–right symmetric feature of the regularized standard model at short distances. We try to explain the smallness of Dirac neutrino masses and the decoupling of the right-handed neutrino as a free particle. Neutrino masses and mixing angles are completely related to each other in the Schwinger–Dyson equations for their self-energy functions. The solutions to these equations and a possible pattern of masses and mixings are discussed.

title: The Dynamical Casimir Effect and Energetic Sources for Gamma Ray Bursts
abstract: On the analogy of the Casimir effect, we present an effect of quantum-field fluctuations, attributed to gravitational field coupling to the zero-point energy of virtual particles in the vacuum. In the process of black hole's formation, such an effect could cause tremendous energy release, possibly describing a scenario of energetic sources for observed gamma ray bursts.

title: PHASE-STRUCTURE OF THE SU(2)-SO(3) LATTICE SYSTEM IN AN IMPROVED VARIATIONAL APPROACH
abstract: An improved trial action in the variational approach of the lattice gauge field theory is in-troduced to acquire better lower bound for the convexity Inequality and used to calculate the phase structure of the SU(2)-SO(3) pure gauge system. The improvement is seen in comparing the old and new variational results with that by the Monte Carlo simulation.

title: On the regularization and quantization of Einstein-Cartan theory

title: GRB 050315: A step toward the uniqueness of the overall GRB structure and the true nature of long GRBs
abstract: Using the Swift data of GRB 050315, we progress on the uniqueness of our theoretically predicted Gamma-Ray Burst (GRB) structure as composed by a proper-GRB (P-GRB), emitted at the transparency of an electron-positron plasma with suitable baryon loading, and an afterglow comprising the so called "prompt emission" as due to external shocks. Thanks to the Swift observations, we can theoretically fit detailed light curves for selected energy bands on a continuous time scale ranging over 10^6 seconds. The theoretically predicted instantaneous spectral distribution over the entire afterglow confirms a clear hard-to-soft behavior encompassing, continuously, the "prompt emission" all the way to the latest phases of the afterglow. Consequences of the instrumental threshold on the definition of "short" and "long" GRBs are discussed.

title: The Casimir Effect in Perfectly Conducting Rectangular Cavity

title: Partial wave analysis of J / psi --> gamma (eta pi+ pi-)
abstract: A partial wave analysis of BES J / ψ → γ ( ηπ + π − ) data has been performed in the mass region 1.1 to 2.0 GeV. A peak is observed due to η (1440) in the ηπ + π − invariant mass distribution; J P =0 − is preferred over 1 + . Its mass is M =1385±7 MeV and it decays into both ησ and a 0 (980) π , with BR[ a 0 (980) π , a 0 → ηπ / ησ ]=0.70±0.12( stat )±0.20( syst ). Destructive interference between the two decay modes is observed. In addition, in the higher ηπ + π − mass region, there is a definite 2 −+ signal, with M =1840±15 MeV and Γ =170±40 MeV and an additional 0 −+ signal at 1760±35 MeV. We also find a possible contribution from a 1 ++ signal decaying dominantly through a 0 (980) π ; its mass and width are fitted to be M =1505±20 MeV and Γ =130 −20 +50 MeV.

title: Experimental study of f0(975) in J / psi decays

title: A Measurement of J / psi decay widths

title: A Search for New Quarks and Leptons From $\Z^0$ Decay
abstract: A search for Z0 decays into pairs of possible new heavy quarks (t and b′), new heavy charged leptons (L±), stable heavy neutral leptons (νL) and unstable heavy neutral leptons (L0) is performed on data collected by the ALEPH detector corresponding to 11 550 events of Z0→hadrons. The limits on the masses of the heavy quarks are Mt > 45.8 GeV and Mb′ > 46.0 GeV, allowing for both charged-current and flavor-changing neutral-current decays of the b′. If an L± decays into a stable νL, then for MνL MνL. Finally, while the mass of the stable νL is excluded up to 42.7 GeV, the mass of the unstable L0 is excluded up to 45.7 GeV with the mixing parameters |UlL0|2 down to 10−13 at this mass. For 25.0 GeV < ML0 < 42.7 GeV, all values of |UlL0|2 are excluded. All limits are given at 95% CL.

title: A precise determination of the number of families with light neutrinos and of the Z boson partial widths
abstract: More extensive and precise results are reported on the parameters of Z decay. On the basis of 20 000 Z decays collected with the ALEPH detector at LEP we find Mz=91.182±0.026 (exp.) ±0.030 (beam) GeV, Γz=2.541±0.056 GeV and σhad0=41.4±0.8 nb. The partial widths for the hadronic and leptonic channels are Γhad=1804±44 MeV, Γe+e−=82.1±3.4 MeV, Γμ+μ−=87.9±6.0 MeV and Γτ+τ−=86.1±5.6 MeV, in good agreement with the standard model. On the basis of the average leptonic width Γl+l−=83.9±2.2 MeV, the effective weak mixing angle is found to be sin2θw(Mz)=0.231±0.008. Usin g the partial widths calculated in the standard model, the number of light neutrino families is Nν=3.01±0.15 (exp.)±0.05 (theor.).