Field-theoretical approach to particle oscillations in absorbing matter

Abstract

The ab oscillations in absorbing matter are considered. The standard model based on optical potential does not describe the total ab transition probability as well as the channel corresponding to absorption of the b-particle. We calculate directly the off-diagonal matrix element in the framework of field-theoretical approach. Contrary to one-particle model, the final state absorption does not tend to suppress the channels mentioned above or, similarly, calculation with hermitian Hamiltonian leads to increase the corresponding values. The model reproduces all the results on the particle oscillations, however it is oriented to the description of the above-mentioned channels. Also we touch on the problem of infrared singularities. The approach under study is infrared-free.

Kaon regeneration in perturbation theory

“…In this case For the total free-space probability W t of the process (1) the calculation identical to that of Ref. [8] gives…”

“…The identical factor takes place for the nn transition in the medium followed by annihilation [8,9,[13][14][15]17,18] and neutrino oscillations [16]. In (25) the inverse dependence takes place.…”

“…This is fundamental error since it leads to a qualitative disagreement in the results. In our calculation the term H K 0K 0 involved in (8). In the approach given below (see Sect.…”

Kaon regeneration

“…Equations (5) given above should be considered, not (7). For nn transitions in the medium [9][10][11][12][13] the coupled equations type of (5) for the non-stationary states are solved as well as for any ab-oscillations.…”

“…In this connection an alternative calculation based on the perturbation theory has been proposed [8]. The similar approach is well studied for nn transitions in the medium [9][10][11]. Since the result obtained in Ref.…”