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L. Stodolsky

Publications and source records attributed to L. Stodolsky.

111 records · Page 7Linked to original sources

Cascade Mixing, a New Kind of Particle Mixing Phenomenon

We discuss ``cascade mixing", where one particle mixture, say a B0, leads to another, say a K0. A simple analysis is possible in the amplitude approach, which avoids ``collapses of the wavefunction" and is explicitly covariant. Some novel possibilities, both of conceptual and perhaps of experimental interest, arise. For example, we explain how such processes can allow one to ``tune", in principle, the phase relations in a particle mixture. Also, effects arise involving combinations of the mass differences of two particle mixtures. We explain how an intermediate measurement may play the role of a regenerator, so that in principle regeneration-like effects can be induced for the B0 and D0 systems, despite their short flight paths. The analysis of such process with respect to CP and the distinction between ``direct" and ``indirect" CP violation is discussed.

hep-ph↗

Power Corrections and KLN Cancellations

We consider perturbative expansions in theories with an infrared cutoff $λ$. The infrared sensitive pieces are defined as terms nonanalytic in the infinitesimal $λ^2$ and powers of this cutoff characterize the strength of these infrared contributions. It is argued that the sum over the initial and final degenerate ( as $λ\to 0$) states which is required by the Kinoshita - Lee - Nauenberg theorem eliminates terms of order $λ^0$ and $λ^1$. However, the quadratic and higher order terms in general do not cancel. This is investigated in simple examples of KLN cancellations, of relevance to the inclusive decay rate of a heavy particle, at the one loop level.

hep-ph↗

Non-Abelian Boltzmann Equation for Mixing and Decoherence

We consider particle oscillations and their damping in second-quantized form. We find that the damping or "decoherence" may be described by a Boltzmann-like collision integral with "non-abelian blocking factors" (fermions). Earlier results are generalized in that the momentum degrees of freedom are included and that the mixing equations become intrinsically non-linear at high densities.

hep-ph↗