Hyperfine Splitting

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Michael I. Eides - One of the best experts on this subject based on the ideXlab platform.

  • Hyperfine Splitting in muonium: Accuracy of the theoretical prediction
    Physics Letters B, 2019
    Co-Authors: Michael I. Eides
    Abstract:

    Abstract In the last twenty years, the theory of Hyperfine Splitting in muonium developed without any experimental input. Finally, this situation is changing and a new experiment on measuring Hyperfine Splitting in muonium is now in progress at J-PARC. The goal of the MuSEUM experiment is to improve by an order of magnitude experimental accuracy of the Hyperfine Splitting and muon-electron mass ratio. Uncertainty of the theoretical prediction for Hyperfine Splitting will be crucial for comparison between the forthcoming experimental data and the theory in search of a possible new physics. In the current literature estimates of the error bars of the theoretical prediction differ roughly by a factor of two. We explain the origin of this discrepancy and obtain the theoretical prediction for the muonium Hyperfine Splitting Δ ν H F S t h ( M u ) = 4 463 302 872 ( 515 ) Hz , δ = 1.2 × 10 − 7 .

  • Hyperfine Splitting in Muonium and Positronium
    Gribov-85 Memorial Volume: Exploring Quantum Field Theory, 2016
    Co-Authors: Michael I. Eides, Valery A. Shelyuto
    Abstract:

    Calculation of hard three-loop corrections of order mα7 to Hyperfine Splitting in muonium and positronium is reviewed. All these contributions are generated by the graphs with photon, electron and/or muon loop radiative insertions in the two-photon exchange diagrams. We calculate contributions of six gauge invariant sets of diagrams.

  • Hard three-loop corrections to Hyperfine Splitting
    International Journal of Modern Physics A, 2016
    Co-Authors: Michael I. Eides, Valery A. Shelyuto
    Abstract:

    We consider hard three-loop nonlogarithmic corrections of order mα7 to Hyperfine Splitting in muonium and positronium. All these contributions are generated by the graphs with photon, electron and/or muon loop radiative insertions in the two-photon exchange diagrams. We calculate contributions of six gauge invariant sets of diagrams.

  • Hard three-loop corrections to Hyperfine Splitting in positronium and muonium
    Physical Review D, 2015
    Co-Authors: Michael I. Eides, Valery A. Shelyuto
    Abstract:

    We consider hard three-loop corrections to Hyperfine Splitting in muonium and positronium generated by the diagrams with closed electron loops. There are six gauge-invariant sets of such diagrams that generate corrections of order mα 7 . The contributions of these diagrams are calculated for an arbitrary electron-muon mass ratio without expansion in the small mass ratio. We obtain the formulas for contributions to Hyperfine Splitting that in the case of a small mass ratio describe corrections for muonium and in the case of equal masses describe corrections for positronium. The first few terms of the expansion of hard corrections in the small mass ratio were earlier calculated for muonium analytically. We check numerically that the new results coincide with the sum of the known terms of the expansion in the case of a small mass ratio. In the case of equal masses we obtain hard nonlogarithmic corrections of order mα 7 to Hyperfine Splitting in positronium.

  • Muon loop light-by-light contribution to Hyperfine Splitting in muonium.
    Physical review letters, 2014
    Co-Authors: Michael I. Eides, Valery A. Shelyuto
    Abstract:

    Three-loop corrections to Hyperfine Splitting in muonium, generated by the gauge-invariant sets of diagrams with muon and tauon loop light-by-light scattering blocks, are calculated. These results complete calculations of all light-by-light scattering contributions to Hyperfine Splitting in muonium.

Valery A. Shelyuto - One of the best experts on this subject based on the ideXlab platform.

  • Hyperfine Splitting in Muonium and Positronium
    Gribov-85 Memorial Volume: Exploring Quantum Field Theory, 2016
    Co-Authors: Michael I. Eides, Valery A. Shelyuto
    Abstract:

    Calculation of hard three-loop corrections of order mα7 to Hyperfine Splitting in muonium and positronium is reviewed. All these contributions are generated by the graphs with photon, electron and/or muon loop radiative insertions in the two-photon exchange diagrams. We calculate contributions of six gauge invariant sets of diagrams.

  • Hard three-loop corrections to Hyperfine Splitting
    International Journal of Modern Physics A, 2016
    Co-Authors: Michael I. Eides, Valery A. Shelyuto
    Abstract:

    We consider hard three-loop nonlogarithmic corrections of order mα7 to Hyperfine Splitting in muonium and positronium. All these contributions are generated by the graphs with photon, electron and/or muon loop radiative insertions in the two-photon exchange diagrams. We calculate contributions of six gauge invariant sets of diagrams.

  • Hard three-loop corrections to Hyperfine Splitting in positronium and muonium
    Physical Review D, 2015
    Co-Authors: Michael I. Eides, Valery A. Shelyuto
    Abstract:

    We consider hard three-loop corrections to Hyperfine Splitting in muonium and positronium generated by the diagrams with closed electron loops. There are six gauge-invariant sets of such diagrams that generate corrections of order mα 7 . The contributions of these diagrams are calculated for an arbitrary electron-muon mass ratio without expansion in the small mass ratio. We obtain the formulas for contributions to Hyperfine Splitting that in the case of a small mass ratio describe corrections for muonium and in the case of equal masses describe corrections for positronium. The first few terms of the expansion of hard corrections in the small mass ratio were earlier calculated for muonium analytically. We check numerically that the new results coincide with the sum of the known terms of the expansion in the case of a small mass ratio. In the case of equal masses we obtain hard nonlogarithmic corrections of order mα 7 to Hyperfine Splitting in positronium.

  • Muon loop light-by-light contribution to Hyperfine Splitting in muonium.
    Physical review letters, 2014
    Co-Authors: Michael I. Eides, Valery A. Shelyuto
    Abstract:

    Three-loop corrections to Hyperfine Splitting in muonium, generated by the gauge-invariant sets of diagrams with muon and tauon loop light-by-light scattering blocks, are calculated. These results complete calculations of all light-by-light scattering contributions to Hyperfine Splitting in muonium.

  • Light-By-Light Scattering Nonlogarithmic Corrections to Hyperfine Splitting in Muonium
    Physical Review D, 2014
    Co-Authors: Michael I. Eides, Valery A. Shelyuto
    Abstract:

    We consider three-loop corrections to Hyperfine Splitting in muonium generated by the gauge invariant set of diagrams with a virtual light-by-light scattering block. These diagrams produce both recoil and nonrecoil contributions to Hyperfine Splitting. Recoil corrections are enhanced by large logarithms of the muon-electron mass ratio. Both nonrecoil and logarithmically enhanced radiative-recoil corrections were calculated some time ago. Here we calculate nonlogarithmic radiative-recoil corrections generated by the insertions of the light-by-light scattering block.

A. P. Martynenko - One of the best experts on this subject based on the ideXlab platform.

  • 2S Hyperfine Splitting of muonic hydrogen
    Physical Review A, 2005
    Co-Authors: A. P. Martynenko
    Abstract:

    Corrections of orders ${\ensuremath{\alpha}}^{5}$ and ${\ensuremath{\alpha}}^{6}$ are calculated in the Hyperfine Splitting of the $2S$ state in the muonic hydrogen. The nuclear structure effects are taken into account in the one- and two-loop Feynman amplitudes by means of the proton electromagnetic form factors. The total numerical value of the $2S$ state Hyperfine Splitting in the muonic hydrogen is $22.8148\phantom{\rule{0.3em}{0ex}}\mathrm{meV}$. This value can be considered as a reliable estimate in conducting a corresponding experiment with an accuracy ${10}^{\ensuremath{-}5}$. The value of the Sternheim Hyperfine Splitting interval $[8\ensuremath{\Delta}{E}^{\mathit{HFS}}(2S)\ensuremath{-}\ensuremath{\Delta}{E}^{\mathit{HFS}}(1S)]$ is obtained with an accuracy ${10}^{\ensuremath{-}6}$.

  • Muonic hydrogen ground state Hyperfine Splitting
    Journal of Experimental and Theoretical Physics, 2004
    Co-Authors: R. N. Faustov, A. P. Martynenko
    Abstract:

    Corrections of orders alpha^5, alpha^6 are calculated in the Hyperfine Splitting of the muonic hydrogen ground state. The nuclear structure effects are taken into account in the one- and two-loop Feynman amplitudes by means of the proton electromagnetic form factors. The modification of the Hyperfine Splitting part of the Breit potential due to the electron vacuum polarization is considered. Total numerical value of the 1S state Hyperfine Splitting 182.638 meV in the (mu p) can play the role of proper estimation for the corresponding experiment with the accuracy 30 ppm.

  • MUONIC HYDROGEN GROUND STATE Hyperfine Splitting
    2003
    Co-Authors: R. N. Faustov, A. P. Martynenko
    Abstract:

    Corrections of orders � 5 , � 6 are calculated in the Hyperfine Splitting of the muonic hydrogen ground state. The nuclear structure effects are taken into account in the one- and two-loop Feynman amplitudes by means of the proton electromagnetic form factors. The modification of the Hyperfine Splitting part of the Breit potential due to the electron vacuum polarization is considered. Total numerical value of the 1S-state Hyperfine Splitting 182.638 meV in the µp can play the role of proper estimation for the corresponding experiment with the accuracy 30 ppm. The study of the energy levels of simple atomic systems (muonium, positronium, hydrogen atom, muonic hydrogen and others) with high precision plays significant role for the check of the Standard Model and the bound state theory with very high accuracy. The two-particle bound states represent important tool for the exactitude the values of fundamental physical constants (the fine structure constant, the electron and muon masses, the proton charge radius etc.) [1]. The observation of thin effects in low energy physics of simple atoms can be considered as necessary supplement to the construction of large particle colliders for deep penetration to the structure of elementary particles and search of new fundamental interactions. Such atomic experiments can improve our knowledge about elementary particle interactions on small distances what may be reached only at very high energies [2]. The effects of strong interactions play essential role in the energy spectrum of the muonic hydrogen just as electronic hydrogen. On one hand, they are connected with two electromagnetic proton form factors (electric GE and magnetic GM) describing the distributions of the � Talk presented at the 11 th Lomonosov Conference on Elementary Particle Physics, Moscow State Uni

  • proton polarizability contribution to the Hyperfine Splitting in muonic hydrogen
    Nuclear Physics, 2002
    Co-Authors: E V Cherednikova, R. N. Faustov, A. P. Martynenko
    Abstract:

    The contribution of the proton polarizability to the Hyperfine Splitting in hydrogen is evaluated on the basis of modern experimental and theoretical results on the proton polarized structure functions. The value of this correction is 1.4 ppm.

  • Proton polarizability contribution to hydrogen Hyperfine Splitting
    The European Physical Journal C, 2002
    Co-Authors: R. N. Faustov, A. P. Martynenko
    Abstract:

    The contribution of proton polarizability to hydrogen Hyperfine Splitting is evaluated on the basis of modern experimental and theoretical results on the proton polarized structure functions. The value of this correction is equal to 1.4 ppm.

Oleksandr Tomalak - One of the best experts on this subject based on the ideXlab platform.

R. N. Faustov - One of the best experts on this subject based on the ideXlab platform.

  • Muonic hydrogen ground state Hyperfine Splitting
    Journal of Experimental and Theoretical Physics, 2004
    Co-Authors: R. N. Faustov, A. P. Martynenko
    Abstract:

    Corrections of orders alpha^5, alpha^6 are calculated in the Hyperfine Splitting of the muonic hydrogen ground state. The nuclear structure effects are taken into account in the one- and two-loop Feynman amplitudes by means of the proton electromagnetic form factors. The modification of the Hyperfine Splitting part of the Breit potential due to the electron vacuum polarization is considered. Total numerical value of the 1S state Hyperfine Splitting 182.638 meV in the (mu p) can play the role of proper estimation for the corresponding experiment with the accuracy 30 ppm.

  • MUONIC HYDROGEN GROUND STATE Hyperfine Splitting
    2003
    Co-Authors: R. N. Faustov, A. P. Martynenko
    Abstract:

    Corrections of orders � 5 , � 6 are calculated in the Hyperfine Splitting of the muonic hydrogen ground state. The nuclear structure effects are taken into account in the one- and two-loop Feynman amplitudes by means of the proton electromagnetic form factors. The modification of the Hyperfine Splitting part of the Breit potential due to the electron vacuum polarization is considered. Total numerical value of the 1S-state Hyperfine Splitting 182.638 meV in the µp can play the role of proper estimation for the corresponding experiment with the accuracy 30 ppm. The study of the energy levels of simple atomic systems (muonium, positronium, hydrogen atom, muonic hydrogen and others) with high precision plays significant role for the check of the Standard Model and the bound state theory with very high accuracy. The two-particle bound states represent important tool for the exactitude the values of fundamental physical constants (the fine structure constant, the electron and muon masses, the proton charge radius etc.) [1]. The observation of thin effects in low energy physics of simple atoms can be considered as necessary supplement to the construction of large particle colliders for deep penetration to the structure of elementary particles and search of new fundamental interactions. Such atomic experiments can improve our knowledge about elementary particle interactions on small distances what may be reached only at very high energies [2]. The effects of strong interactions play essential role in the energy spectrum of the muonic hydrogen just as electronic hydrogen. On one hand, they are connected with two electromagnetic proton form factors (electric GE and magnetic GM) describing the distributions of the � Talk presented at the 11 th Lomonosov Conference on Elementary Particle Physics, Moscow State Uni

  • proton polarizability contribution to the Hyperfine Splitting in muonic hydrogen
    Nuclear Physics, 2002
    Co-Authors: E V Cherednikova, R. N. Faustov, A. P. Martynenko
    Abstract:

    The contribution of the proton polarizability to the Hyperfine Splitting in hydrogen is evaluated on the basis of modern experimental and theoretical results on the proton polarized structure functions. The value of this correction is 1.4 ppm.

  • Proton polarizability contribution to hydrogen Hyperfine Splitting
    The European Physical Journal C, 2002
    Co-Authors: R. N. Faustov, A. P. Martynenko
    Abstract:

    The contribution of proton polarizability to hydrogen Hyperfine Splitting is evaluated on the basis of modern experimental and theoretical results on the proton polarized structure functions. The value of this correction is equal to 1.4 ppm.

  • Proton-Polarizability Contribution to the Hyperfine Splitting in Hydrogen
    Physics of Atomic Nuclei, 2002
    Co-Authors: R. N. Faustov, A. P. Martynenko
    Abstract:

    The contribution ofisobar to the correction on proton polarizability in the Hyperfine Splitting of hydrogen and muonic hydrogen is calculated with the account of the experimental data on Ntransition form factors.