Our aim is to establish some signatures of the extra neutral gauge boson X0, predicted in a version of the SU(3)c x SU(3)L x U(1)x model with right-handed neutrinos, by considering the process p+p → X0 + X0* + X. In this work, we show some results concerning the LHC energy regime (√s = 14 TeV) and projected luminosity. Some distributions are shown and the X0 width is calculated. We conclude that hadron colliders can show a clear signature for the existence of X0 by comparing its production with Z pair production.

The slow convergence of chiral perturbation theory for heavy baryons (HBChPT) suggests that any attempt to unitarize the amplitude following from this method will fail to describe the experimental phase shifts. However, it was possible to obtain a ChPT pion nucleon amplitudes respecting exact unitarity relation by using the Inverse Amplitude Method (IAM), but the resulting total amplitude violates the important property of crossing symmetry [1] . On the other hand, the use of a dispersive calculation, starting directly from a result at second order in the pion momentum, is an alternative approach to get unitarized scattering amplitude. By this method it was possible to fit, with two parameters, the P33 partial wave to the experimental low energy phase shifts, and to present the resulting S and P partial wave phase shifts [2]. This was done with a crossing symmetric amplitude, that respect approximate elastic unitarity relation. In the present exercise, we do not impose crossing symmetry for the amplitude obtained in the previous work, in order to verify the role played by crossing symmetry in the dispersive approach. As in the previous work, our strategy was to perform a fit of the P33 amplitude to the experimental phase shifts and then use the fixed parameters in the S and P partial waves to compare them with the corresponding experimental phase shifts. We conclude that, when we do not impose crossing symmetry for the total amplitude, more parameters are needed in the fitting procedure for P33, moreover the theoretical results for S11, S31, P11, P31 and P13 are quite far from the experimental points.

We evaluate nucleon and delta sigma-terms and obtain the results 43 MeV < sigmaN < 49 MeV and 28 MeV < <FONT FACE=Symbol>sD</FONT> < 32 MeV, depending on the coupling constants used, which are compatible with values extracted from experiment and produced by other groups. We show that the decay <FONT FACE=Symbol>D ® p</FONT>N explains the relation <FONT FACE=Symbol>sD</FONT> < sigmaN.

Chiral Perturbation Theory is considered as a very precise method when applied to pion-nucleon scattering near threshold and in the unphysical region since in these cases the pion momenta are small. In this framework, third order calculation yields a non-relativistic scattering amplitude with nine free parameters. From the fact that the resulting partial-wave amplitudes do not respect elastic unitarity relation, one has that the phase-shift definition is ambiguous. In this article, we present the comparison of the model with experimental data for two different phase-shift formulas and we conclude that the results are very sensitive to phase-shift definition.