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20152026
most citedLamb shift in muonic ions of lithium, beryllium and boron

31 citations · 247 across the 32 of their papers we have counts for

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hep-ph2026

Paired charmonium and bottomonium production in rare exclusive decays of Z boson

F. A. Martynenko, A. P. Martynenko, A. A. Skakun

The processes of paired charmonium and bottomonium production in Z-boson decays are investigated within the relativistic quark model. Various decay mechanisms are examined, and rel…

hep-ph2026

Rydberg states of muonic helium in quantum electrodynamics

A. V. Eskin, A. P. Martynenko, F. A. Martynenko +1

The variational method is used to study the energy levels of muonic helium with an electron in the ground state and a muon in an excited state with princip…

hep-ph2026

Few-particle lepton bound states in variational approach

A. V. Eskin, A. P. Martynenko, F. A. Martynenko +1

The energy levels of the ground states of the three-particle and four-particle bound states of leptons in quantum electrodynamics are calculated. For the calculation, the variation…

hep-ph2026

Weak Interaction Contribution to the Muonium Hyperfine Structure in the Standard Model

F. A. Martynenko, A. P. Martynenko, K. A. Seredina

The contribution of the weak interaction to the hyperfine splitting of the ground state of muonium is investigated. The amplitudes of the one- and two-quantum exchange determined b…

hep-ph2025

Heavy tetraquarks in the hyperspherical approach

F. A. Martynenko, A. V. Eskin, A. P. Martynenko

Within the quark model and hyperspherical method, the bound states of four heavy quarks and antiquarks (tetraquarks) are investigated. In hyperradial approximation, the Schroedinge…

hep-ph2025

Production of heavy tetraquarks in rare exclusive decays of the Higgs boson

F. A. Martynenko, A. V. Eskin, A. P. Martynenko

The relativistic quark model is used to study the processes of heavy tetraquark production in the Higgs boson decay. We consider quark-gluon, ZZ-boson, and qua…

hep-ph2025

Production of heavy quark bound states in rare exclusive decays of Higgs boson

F. A. Martynenko, A. P. Martynenko, A. V. Eskin

The processes of pair production of S- and P- wave charmonium, as well as the production of the tetraquark (cc \bar{c} \bar{c}) in the Higgs boson decays are investigated within th…

hep-ph2025★ 1 cited

Mass spectrum of heavy tetraquarks in variational approach

A. V. Eskin, A. P. Martynenko, F. A. Martynenko

Within the framework of the quark model and the variational method, the bound states of four heavy quarks (tetraquarks) are investigated. The basis variational wave functions are c…

hep-ph2024

Resonant states of muonic three-particle systems with lithium, helium and hydrogen nuclei

A. V. Eskin, V. I. Korobov, A. P. Martynenko +1

We study the energy spectrum of three-particle systems (He-p-μ), (He-d-μ), (Li-p-μ) and (Li-d-μ) on the basis of variational approach with exponential and Gaussian basis. Using the…

hep-ph2024

Hadronic light-by-light scattering contribution to 1S-2S transition in muonium

V. I. Korobov, F. A. Martynenko, A. P. Martynenko +1

We study hadronic light-by-light scattering contribution to the energy interval (1S-2S) in muonium. Various amplitudes of interaction of a muon and an electron are constructed, in…

hep-ph2023

Energy levels of mesonic helium in quantum electrodynamics

V. I. Korobov, A. V. Eskin, A. P. Martynenko +1

On the basis of variational method we study energy levels of pionic helium and kaonic helium with an electron in ground state and a meson in excited state wit…

hep-ph2023

Contribution of hadronic light-by-light scattering to the hyperfine structure of muonium

V. I. Korobov, A. V. Eskin, A. P. Martynenko +1

The contribution of hadronic scattering of light-by-light to the hyperfine structure of muonium is calculated using experimental data on the transition form factors of two photons…

hep-ph2023★ 10 cited

The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model

A. E. Radzhabov, A. S. Zhevlakov, A. P. Martynenko +1

The contribution of axial-vector mesons to the muon's anomalous magnetic moment through a light-by-light process is considered within a nonlocal quark model. The model is based on…

hep-ph2022★ 14 cited

Relativistic corrections to paired production of charmonium and bottomonium in decays of the Higgs boson

R. N. Faustov, A. P. Martynenko, F. A. Martynenko

Rare decay process of the Higgs boson into a pair of and particles is studied within perturbative Standard Model and relativistic quark model. The relativistic correction…

hep-ph2022★ 6 cited

Ground state hyperfine structure of light muon-electron ions

R. N. Faustov, V. I. Korobov, A. P. Martynenko +1

The ground state hyperfine splitting of light muon-electron ions of lithium, beryllium, boron and helium is calculated on the basis of analytical perturbation theory in terms of sm…

hep-ph2021★ 11 cited

Higgs boson decay to the pair of S- and P-wave mesons

R. N. Faustov, F. A. Martynenko, A. P. Martynenko

We investigate the rare production of the pair of and wave -meson in the Higgs boson decay in the perturbative Standard Model and relativistic quark model. Relativis…

hep-ph2021★ 16 cited

Higgs boson decay to paired : relativistic and one-loop corrections

I. N. Belov, A. V. Berezhnoy, A. E. Dorokhov +3

The exclusive decays of the Higgs boson to and pairs are studied. The hard parts of the decay amplitudes are estimated within the perturbative Standar…

hep-ph2020★ 3 cited

Energy interval 3S-1S in muonic hydrogen

A. E. Dorokhov, R. N. Faustov, A. P. Martynenko +1

The energy interval in muonic hydrogen is calculated on the basis of quasipotential approach in quantum electrodynamics. We take into account different corrections of o…

hep-ph2020★ 8 cited

Photonic production of the pair of mesons

A. E. Dorokhov, R. N. Faustov, A. P. Martynenko +1

We study the pair production of mesons in the photon-photon interaction in the framework of perturbative quantum chromodynamics and the relativistic quark model. The producti…

hep-ph2019★ 6 cited

Hyperfine structure of P states in muonic ions of lithium, beryllium and boron

A. E. Dorokhov, A. P. Martynenko, F. A. Martynenko +1

We calculate hyperfine structure intervals and for P-states in muonic ions of lithium, beryllium and boron. To construct the particle inte…

hep-ph2019★ 7 cited

The LbL contribution to the muon g-2 from the axial-vector mesons exchanges within the nonlocal quark model

A. E. Dorokhov, A. P. Martynenko, F. A. Martynenko +2

The light-by-light contribution from the axial-vector (AV) mesons exchanges to the muon anomalous magnetic moment is estimated in the framework of the nonlocal chiral quark model.…

hep-ph2019★ 11 cited

Exclusive double meson production from annihilation into two virtual photons

A. V. Berezhnoy, A. P. Martynenko, F. A. Martynenko +1

We calculate cross sections of a pair meson production on the basis of two-photon mechanism from electron-positron annihilation. We investigate the production cross sections…

hep-ph2018★ 12 cited

Hyperfine structure of S-states in muonic ions of lithium, beryllium and boron

A. E. Dorokhov, A. A. Krutov, A. P. Martynenko +2

We make precise calculation of hyperfine structure of -states in muonic ions of lithium, beryllium and boron in quantum electrodynamics. Corrections of orders and du…

hep-ph2018★ 16 cited

Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen

A. E. Dorokhov, N. I. Kochelev, A. P. Martynenko +2

In the framework of the quasipotential method in quantum electrodynamics we calculate corrections to the nuclear structure proportional to from two-photon exchange amplitud…