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Victor Chernyak

Publications and source records attributed to Victor Chernyak.

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Has the E791 experiment measured the pion wave function profile ?

The cross section of hard diffractive dissociation of the pion into two jets is calculated. It is obtained that the distribution of longitudinal momenta for jets is not simply proportional to the profile of the pion wave function, but depends on it in a complicated way. In particular, it is shown that, under the conditions of the E791 experiment, the momentum distribution of jets is similar in its shape for the asymptotic and CZ wave functions, and even the ratio of the differential cross sections is not far from unity.

hep-ph

Properties of the SU(N_c) Yang-Mills vacuum state

The asymptotic behaviour of the vacuum energy density, ${\bar E}(θ)$, at $θ\ra \pm i \infty$ is found out. A new interpretation and a qualitative discussion of the ${\bar E}(θ)$ behaviour are presented. It is emphasized that the vacuum is doubly degenerate at $θ=π$, and the quark electric string can terminate on the domain wall interpolating between these two vacua. The potential of the monopole field condensing in the Yang-Mills vacuum is obtained.

hep-th

Properties of {\cal N}=1 SUSY Yang-Mills vacuums and domain walls

It is shown that there is no chirally symmetric vacuum state in the {cal N}=1 supersymmetric Yang-Mills theory. The values of the gluino condensate and the vacuum energy density are found out through a direct instanton calculation. A qualitative picture of domain wall properties is presented, and a new explanation of the phenomenon of strings ending on the wall is proposed.

hep-th

What are the right values of $\bar Λ$ and the heavy quark kinetic energy?

The values of two important parameters of the heavy quark effective theory,\, $\bar Λ$ and $μ_π^2$ (the mean value of the heavy quark three momentum squared),\, have been determined recently in \cite {GKLW} from the precise CLEO data on the shape of the electron spectrum in semileptonic B meson decays. The values obtained in \cite{GKLW}: $\bar Λ=(0.55\pm 0.05)\,GeV,\, μ_π^2=(0.35\pm 0.05)\,GeV^2,$ disagree with the result obtained earlier in \cite{CH} from the D meson semileptonic width. The purpose of this note is to show that the main reason for a disagreement is the secondary electron background present in the data,\, which influences strongly the extracted values of $\bar λ$ and $μ_π^2$. We determine the amount of this background from the selfconsistency conditions,\, and subtract it out. As a result,\, the values of $\bar Λ$ and $μ_π^2$ become a factor two smaller and agree with \cite{CH}.

hep-ph

Calculation of the D and B Meson Lifetimes

Using the expansions of the heavy meson decay widths in the heavy quark mass and QCD sum rules for estimates of corresponding matrix elements,\, we calculate the $D^{\pm,o,s}$ decay widths and the $B^{\pm,o,s}$ lifetime differences. The results for D mesons are in agreement with the data,\, while it is predicted that $[Γ(B^o)-Γ(B^-)]/Γ_B\se 4\%\,,$ and the lifetime difference of the $B^o$ and $B_s$ mesons is even smaller. The role of the weak annihilation and Pauli interference contributions to the lifetime differences are described in detail. In the course of self-consistent calculations the values of many parameters crucial for calculations with charmed and beauty mesons are found. In particular,\, the perturbative pole quark masses are: $M_c\se 1.65\,GeV,\,\, M_b\se 5.04\,GeV\,,$ and the decay constants are: $f_D(M_c)\se 165\,MeV\,,\,\,f_B(M_b)\se 113\,MeV\,$. It is also shown that the nonfactorizable corrections to the $B^o-{\bar B}^o$ mixing are large,\, $B_B\se (1-18\%)\,.$ The values of the unitarity triangle parameters are found which are consistent with these results and the data available (except for the NA31 result for the $ε^{\prime}/ε$ which is too large): $λ\se 0.22\,,\,\, A\se 0.825\,,\,\,ρ\se -0.4\,,\,\, η\se 0.2\,.$

hep-ph