SUPERCRITICAL POMERON AND EIKONAL REPRESENTATION OF THE DIFFRACTION SCATTERING AMPLITUDE

The intercept of the supercritical pomeron is examined with the use of different forms of the scattering amplitudes of the bare pomeron. The one-to-one correspondence between the eikonal phase and the ratio of the elastic and total cross-section is shown. Based on new experimental data of the CDF collaboration, the intercept and power of the logarithmic growth of the bare and total pomeron amplitude are analyzed. It is shown that as a result of the eikonalization procedure, the bare QCD pomeron becomes compatible with experiment.

Recent advances in the stability theory of toroidal plasmas

Many of the most persistent instabilities of a magnetically confined plasma have short wavelength perpendicular to the magnetic field but long wavelength parallel to it. Such instabilities are difficult to treat in a toroidal system because the simple eikonal representation of short wavelength oscillations X (r) = Y (r) with 8 1 proves to be incompatible with the other requirements of toroidal periodicity and long parallel wavelength (which would require B >VS = 0). A new method of representing perturbations in a torus will be outlined. By using this, the two-dimensional stability problem posed by an axisymmetric toroidal equilibrium can be reduced to that of solving a one-dimensional eigenvalue equation. This technique essentially completes the linear stability theory of magnetohydrodynamic modes in a toroidal plasma, and is also applicable to the investigation of micro-instabilities that are described by the Vlasov-Maxwell equations.