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Mikhail K. Volkov

Publications and source records attributed to Mikhail K. Volkov.

4 recordsLinked to original sources
arXiv2022

$τ$ lepton decays with production of strange scalar mesons $K^*_0(700)$ and $K^*_0(1430)$ in the extended NJL model

The branching fractions of $τ$ lepton decays with the production of strange scalar mesons both in the ground and first radially excited states $τ\to ν_τ[K^*_0(700), K^*_0(1430)]$ and $τ\to ν_τ[K^*_0(700)π, K^*_0(1430)π, K^*_0(700) K, K^*_0 (700)η]$ are calculated in the extended $U(3) \times U(3)$ chiral quark NJL model. All mesons are considered as $q\bar{q}$ systems. The obtained results should be considered as predictions for future experiments.

hep-ph↗
arXiv2022

The decays $τ\to a_{1} πν_τ$, $τ\to K_{1} πν_τ$ and $τ\to K_{1} K ν_τ$ in the extended $U(3)\times U(3)$ chiral NJL model

The branching fractions of the decays $τ\to a_{1} πν_τ$, $τ\to K_{1} πν_τ$ and $τ\to K_{1} K ν_τ$ are calculated in the framework of the extended $U(3)\times U(3)$ chiral Nambu--Jona-Lasinio model. There are no experimental data for these decays in the present time, thus the obtained results are considered as predictions. The comparison of these results to the theoretical results of other authors is carried out.

hep-ph↗
arXiv2008

NJL interaction derived from QCD: vector and axial-vector mesons

In previous works effective non-local $SU(2)\times SU(2)$ NJL model was derived in the framework of the fundamental QCD. All the parameters of the model are expressed through QCD parameters: current light quark mass $m_0$ and average non-perturbative $α_s$. The results for scalar and pseudo-scalar mesons are in satisfactory agreement to existing data. In the present work the same model without introduction of any additional parameters is applied for a description of masses and strong decay widths of $ρ$- and $a_1$-mesons. The results for both scalar and vector sectors agree with data with only one adjusted parameter $m_0$, with account of average $α_s \simeq 0.415$, which is obtained in a previous work as well.

hep-ph↗
arXiv2006

NJL model derived from QCD

We apply Bogolubov approach to QCD with two light quarks to demonstrate a spontaneous generation of an effective interaction, leading to the Nambu -- Jona-Lasinio model. The resulting theory contains two parameters: average low-energy value of $α_s$ and current light quark mass $m_0$. All other low-energy parameters: the pion decay constant, mass of the $π$-meson, mass of the $σ$-meson and its width, the constituent quark mass, the quark condensate are expressed in terms of the two input parameters in satisfactory correspondence to experimental data and chiral phenomenology. {\it E.g.} in the approximation being used we have for $α_s = 0.67$ and $m_0 = 20 MeV$: $f_π= 93 MeV, m_π= 135 MeV, m_σ= 492 MeV, Γ_σ= 574 MeV, m_q = 295 MeV, <\bar q q> = -(222 MeV)^3$.

hep-ph↗