The Spectral Theory of Perturbative Decays

In this paper, we propose a complex approach to evaluate a function sum of two noncommuting non Hermitian operators. Then, it is proposed an explicit expansion of the evolution operator in the case of the neutral K-meson system under the influence of an external interaction. Then, the importance of the procedure is pointed out to consider the algebraic expansion of the time evolution operator whenever the dynamics decouples the internal transitions and the center of mass motion.Comment: 13 pages, TeX fil

The Classical Analogue of CP-violation

The phenomenological features of the mixing in the neutral pseudoscalar mesons K0-K0bar can be illustrated in the classical framework of mechanics and by means of electromagnetic coupled circuits. The time-reversed not-invariant processes and the related phenomenon of CP-nonconservation can be induced by dissipative effects which yield a not vanishing imaginary part for the relevant Hamiltonian. Thus, two coupled dissipative oscillators can resemble the peculiar asymmetries which are so common in the realm of high energy particle physics.Comment: 12 pages, Latex, 2 figures available by fa

The Scattering Theory of CP Violation

The mixing effects and the $CP(T)$--violating formalism for Kaon, B--mesons and similar unstable oscillating systems, are recovered by means of a method based on the properties of the complex singularities in the $S$--matrix theory with unstable intermediate states. General $q^2$--dependent relations for CP--asymmetries are then introduced.Comment: 19 pages, Plain TeX, submitted to Annals of Physic

The diagonalization of cubic matrices

This paper is devoted to analysing the problem of the diagonalization of cubic matrices. We extend the familiar algebraic approach which is based on the Cardano formulae. We rewrite the complex roots of the associated resolvent secular equation in terms of transcendental functions and we derive the diagonalizing matrix

Sinisgalli e la Fisica moderna

Riportiamo l’intervento del professor Decio Cocolicchio nel Convegno “Furor Sinisgalli - L’avventura delle due culture” promosso dalla Fondazione Leonardo Sinisgalli, che ricostruisce gli anni di apprendistato universitario di Sinisgalli a Roma, i legami con i suoi docenti, prima nel Corso di Laurea di Matematica, poi ad Ingegneria industriale e approfondisce i rapporti con i compagni di studio, che sono gran parte di quella generazione passata alla Storia della Scienza come “I ragazzi di via Panisperna”

The WKB Approximation without Divergences

In this paper, the WKB approximation to the scattering problem is developed without the divergences which usually appear at the classical turning points. A detailed procedure of complexification is shown to generate results identical to the usual WKB prescription but without the cumbersome connection formulas.Comment: 13 pages, TeX file, to appear in Int. J. Theor. Phy

Constraints on left-right symmetric models from the process b→sγb \rightarrow s \gamma

In left-right symmetric models, large contributions to the decay amplitude $b \rightarrow s+ \gamma$ can arise from the mixing of the $W_L$ and $W_R$ gauge bosons as well as from the charged Higgs boson. These amplitudes are enhanced by the factor \mt/\mb compared to the contributions in the standard model. We use the recent CLEO results on the radiative $B$ decay to place constraints on the $W_L-W_R$ mixing angle $\zeta$ and the mass of the charged Higgs boson $m_{H^\pm}$. Significant departures from the standard model predictions occur when $|\zeta| > 0.003$ and/or when $m_{H^\pm} <$ a few TeV.Comment: in LaTeX, 12 pages + 4 figures (available on request), BA-93-69, UT-66

A model independent and rephase invariant parametrization of CP violation

The phenomenological description of the neutral B meson system is proposed in terms of the fundamental CP-violating observables and within a rephasing invariant formalism. This generic formalism can select the time-dependent and time-integrated asymmetries which provide the basic tools to discriminate the different kinds of possible CP-violating effects in dedicated experimental B-meson facilities.Comment: 19 pages, Plain Te

Kaon decay interferometry as meson dynamics probes

We discuss the time dependent interferences between $K_L$ and $K_S$ in the decays in $3\pi$ and $\pi\pi\gamma$, to be studied at interferometry machines such as the $\phi$-factory and LEAR. We emphasize the possibilities and the advantages of using interferences, in comparison with width measurements, to obtain information both on $CP$ conserving and $CP$ violating amplitudes. Comparison with present data and suggestions for future experiments are made.Comment: 15 pages, in RevTex, Report INFNNA-IV-93-31, UTS-DFT-93-2