Michael Chistyakov

Publications

• Electromagnetic Processes In Strongly Magnetized Plasma

  M. V. Chistyakov, D. A. Rumyantsev

  12/2008;

  The electromagnetic processes of Compton scattering and photon splitting/merging are investigated in the presence of strongly magnetized electron-positron plasma. The influence of these processes on the radiation transfer in the astrophysical environment is studied. In particular, the contribution o... [more] The electromagnetic processes of Compton scattering and photon splitting/merging are investigated in the presence of strongly magnetized electron-positron plasma. The influence of these processes on the radiation transfer in the astrophysical environment is studied. In particular, the contribution of the processes under consideration in coefficients of the transfer equation is calculated. We show the importance of photon splitting/merging contribution and taking into account of photon dispersion and wave function renormalization in strong magnetic field and plasma.

• Influence of the photon - neutrino processes on magnetar cooling

  M. V. Chistyakov, D. A. Rumyantsev

  11/2008;

  The photon-neutrino processes $\gamma e^{\pm} \to e^{\pm} \nu \bar \nu$, $\gamma \to \nu \bar \nu$ and $\gamma \gamma \to \nu \bar \nu$ are investigated in the presence of a strongly magnetized and dense electron-positron plasma. The amplitudes of the reactions $\gamma e^{\pm} \to e^{\pm} \nu \bar \... [more] The photon-neutrino processes $\gamma e^{\pm} \to e^{\pm} \nu \bar \nu$, $\gamma \to \nu \bar \nu$ and $\gamma \gamma \to \nu \bar \nu$ are investigated in the presence of a strongly magnetized and dense electron-positron plasma. The amplitudes of the reactions $\gamma e^{\pm} \to e^{\pm} \nu \bar \nu$ and $\gamma \gamma \to \nu \bar \nu$ are obtained. In the case of a cold degenerate plasma contributions of the considering processes to neutrino emissivity are calculated. It is shown that contribution of the process $\gamma \gamma \to \nu \bar \nu$ to neutrino emissivity is supressed in comparision with the contributions of the processes $\gamma e^{\pm} \to e^{\pm} \nu \bar \nu$ and $\gamma \to \nu \bar \nu$. The constraint on the magnetic field strength in the magnetar outer crust is obtained. Comment: 8 pages, LaTeX, 2 PS figures, based on the talk presented by D.A. Rumyantsev at the XV International Seminar Quarks'2008, Sergiev Posad, Moscow Region, May 23-29, 2008, to appear in the Proceedings

• The Compton effect in a strongly magnetized plasma

  M. V. Chistyakov, D. A. Rumyantsev

  10/2006;

  The process of Compton scattering $\gamma e^{\pm} \to \gamma e^{\pm}$ in a strongly magnetized medium of arbitrary temperature and zeroth chemical potential was considered. The analytical expressions for the partial cross section in the small concentration limit of the electron-positron plasma are o... [more] The process of Compton scattering $\gamma e^{\pm} \to \gamma e^{\pm}$ in a strongly magnetized medium of arbitrary temperature and zeroth chemical potential was considered. The analytical expressions for the partial cross section in the small concentration limit of the electron-positron plasma are obtained. The numerical estimations for the partial probabilities of this process are presented by taking into account the photon dispersion in a strong magnetic field and charge-symmetric plasma of arbitrary temperature. The comparision of the scattering probability with photon splitting in a plasma was investigated. The astrophysical applications of the obtaining results are considered.

• The influence of strong magnetic field on photon-neutrino reactions

  M. V. Chistyakov, N. V. Mikheev

  01/2004;

  The two-photon two-neutrino interaction induced by magnetic field is investigated. In particular the processes $\gamma \gamma \to \nu \bar \nu$ and $\gamma \to \gamma \nu \bar \nu$ are studied in the presence of strong magnetic field. An effective Lagrangian and partial amplitudes of the processes a... [more] The two-photon two-neutrino interaction induced by magnetic field is investigated. In particular the processes $\gamma \gamma \to \nu \bar \nu$ and $\gamma \to \gamma \nu \bar \nu$ are studied in the presence of strong magnetic field. An effective Lagrangian and partial amplitudes of the processes are presented. Neutrino emissivities due to the reactions $\gamma \gamma \to \nu \bar \nu$ and $\gamma \to \gamma \nu \bar \nu$ are calculated taking into account of the photon dispersion and large radiative corrections. A comparison of the results obtained with previous estimations and another inducing mechanisms of the processes under consideration is made.

• Photon-neutrino interactions in strong magnetic field

  M. V. Chistyakov, N. V. Mikheev

  11/2002;

  The two-photon two-neutrino interaction induced by magnetic field is investigated. In particular the processes $\gamma \gamma \to \nu \bar \nu$ and $\gamma \to \gamma \nu \bar \nu$ are studied in the presence of strong magnetic field. An effective Lagrangian and partial amplitudes of the processes a... [more] The two-photon two-neutrino interaction induced by magnetic field is investigated. In particular the processes $\gamma \gamma \to \nu \bar \nu$ and $\gamma \to \gamma \nu \bar \nu$ are studied in the presence of strong magnetic field. An effective Lagrangian and partial amplitudes of the processes are presented. Neutrino emissivities due to the reactions $\gamma \gamma \to \nu \bar \nu$ and $\gamma \to \gamma \nu \bar \nu$ are calculated taking into account of the photon dispersion and large radiative corrections. A comparison of the results obtained with previous estimations and another inducing mechanisms of the processes under consideration is made. Comment: 11 pages, LATEX, 3 EPS figures, one figure and several equations corrected

• Photon Damping Caused by Electron-Positron Pair Production in a Strong Magnetic Field

  N. V. Mikheev, M. V. Chistyakov

  07/2001;

  Damping of an electromagnetic wave in a strong magnetic field is analyzed in the kinematic region near the threshold of electron-positron pair production. Damping of the electromagnetic field is shown to be noticeably nonexponential in this region. The resulting width of the photon $\gamma \to e^+ e... [more] Damping of an electromagnetic wave in a strong magnetic field is analyzed in the kinematic region near the threshold of electron-positron pair production. Damping of the electromagnetic field is shown to be noticeably nonexponential in this region. The resulting width of the photon $\gamma \to e^+ e^-$ decay is considerably smaller than previously known results. Comment: 13 pages, 4 figure

• Radiative neutrino transition $\nu \to \nu \gamma$ in strongly magnetized plasma

  M. V. Chistyakov, N. V. Mikheev

  07/1999;

  The influence of strongly magnetized electron-positron plasma on the radiative neutrino transition $\nng$ is investigated. The probability and mean losses of the neutrino energy and momentum are calculated taking account of the photon dispersion and large radiative corrections near the resonance. It... [more] The influence of strongly magnetized electron-positron plasma on the radiative neutrino transition $\nng$ is investigated. The probability and mean losses of the neutrino energy and momentum are calculated taking account of the photon dispersion and large radiative corrections near the resonance. It is shown that the combined effect of plasma and strong magnetic field decreases the probability and mean values of the neutrino energy and momentum loss in comparison with these values obtained in pure magnetic field. Comment: 12 pages, 3 figure, LaTeX2e, uses epsf.sty, typos fixed, accepted to Physics Letters B

• Photon Splitting in a Strong Magnetic Field

  M. V. Chistyakov, A. V. Kuznetsov, N. V. Mikheev

  01/1999;

  The process of photon splitting fl ! flfl in a strong magnetic field is investigated both below and above the pair creation threshold.The partial amplitudes and the splitting probabilities are calculated taking account of the photon dispersion and large radiative corrections near the resonance. The ... [more] The process of photon splitting fl ! flfl in a strong magnetic field is investigated both below and above the pair creation threshold.The partial amplitudes and the splitting probabilities are calculated taking account of the photon dispersion and large radiative corrections near the resonance. The non-linear electromagnetic process of the photon splitting in external field is one of the most exiting effect of the quantum electrodynamics. It is interesting to note that possible manifestations of this process belong to the two completely oposite fields of our physical world. On one hand this effect could manifest itself in the microcosm, in the electric field of a heavy atoms. On the other hand, possible manifistations of this process in macrocosm are discussed during a long time, namely, in the astrophysical objects, where strong magnetic fields could exist. In this talk we consider the procees of the photon splitting in the strong magnetic field. Theoretical study of this process has...

• The transitions gamma gamma -> nu bar nu and gamma -> gamma gamma in a strong magnetic field

  M. V. Chistyakov, A. V. Kuznetsov, N. V. Mikheev

  09/1998;

  The photon-neutrino process gamma gamma -> nu bar nu and photon splitting are considered in a strong magnetic field. The partial polarization amplitudes are calculated within the standard model in the limit of a strong field. The amplitudes do not depend on the field strength in this limit. Using... [more] The photon-neutrino process gamma gamma -> nu bar nu and photon splitting are considered in a strong magnetic field. The partial polarization amplitudes are calculated within the standard model in the limit of a strong field. The amplitudes do not depend on the field strength in this limit. Using the vector parts of the amplitudes, the process of the photon splitting gamma -> gamma gamma is investigated both below and above the pair creation threshold. The splitting probabilities are calculated taking account of the photon dispersion and large radiative corrections near the resonance.

• Photon splitting above the pair creation threshold in a strong magnetic field

  M. V. Chistyakov, A. V. Kuznetsov, N. V. Mikheev

  04/1998;

  The process of photon splitting $\gamma \to \gamma \gamma$ in a strong magnetic field is investigated both below and above the pair creation threshold. Contrary to the statement by Baier et al., the ``allowed'' channel $\alw$ is shown not to be a comprehensive description of splitting in the... [more] The process of photon splitting $\gamma \to \gamma \gamma$ in a strong magnetic field is investigated both below and above the pair creation threshold. Contrary to the statement by Baier et al., the ``allowed'' channel $\alw$ is shown not to be a comprehensive description of splitting in the strong field because the ``forbidden'' channel $\frb$ is also essential. The partial amplitudes and the splitting probabilities are calculated taking account of the photon dispersion and large radiative corrections near the resonance. Comment: 13 pages, 3 figures, LaTeX, uses epsf.sty, numerical error in eq.(11) corrected, typos fixed, presentation improved, accepted to Physics Letters B

• Photon splitting above the pair creation threshold in a strong magnetic field

  M.V. Chistyakov, A.V. Kuznetsov, N.V. Mikheev

  Physics Letters B.

  The process of photon splitting γ→γγ in a strong magnetic field is investigated both below and above the pair creation threshold. Contrary to the statement by Baier et al., the “allowed” channel γ‖→γ⊥γ⊥ is shown not to be a comprehensive description of splitting in the strong field because the “forb... [more] The process of photon splitting γ→γγ in a strong magnetic field is investigated both below and above the pair creation threshold. Contrary to the statement by Baier et al., the “allowed” channel γ‖→γ⊥γ⊥ is shown not to be a comprehensive description of splitting in the strong field because the “forbidden” channel γ‖→γ‖γ⊥ is also essential. The partial amplitudes and the splitting probabilities are calculated taking account of the photon dispersion and large radiative corrections near the resonance.