Nuclear Physics and Atomic Energy

ядерна ф≥зика та енергетика
Nuclear Physics and Atomic Energy

  ISSN: 1818-331X (Print), 2074-0565 (Online)
  Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine
  Languages: Ukrainian, English, Russian
  Periodicity: 4 times per year

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Nucl. Phys. At. Energy 2017, volume 18, issue 3, pages 222-229.
Section: Nuclear Physics.
Received: 01.06.2017; Accepted: 12.10.2017; Published online: 28.12.2017.
PDF Full text (ru)
https://doi.org/

Evaluation of the two lightest quark masses

V. A. Babenko*, N. M. Petrov

Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

*Corresponding author. E-mail address: pet@bitp.kiev.ua; pet2@ukr.net

Abstract: Simple relations between the masses of the two lightest up and down quarks were obtained on the basis of the simple physically based model compatible with the present-day theory of strong interactions, i.e. with quantum chromodynamics. Relations between the u and d quark masses, on one hand, and nucleon and pion masses, on the other hand, are also established. Thus, the obtained in such a way elementary formula mu/md = 1/(1+√2), relating u and d quark masses, appears to be in excellent agreement with a number of theoretical calculations of the ratio mu/md of the lightest quark masses. The u and d quark masses mu = 1.903 MeV, md = 4.594 MeV, calculated with the help of the obtained relations, are also in very good agreement with the modern evaluations and calculations of these quantities. The average of the u and d quark masses m̅ud = ΔMπ/√2 ≅ 3.248 MeV, obtained in the proposed approach, is in good agreement with previous calculations too.

Keywords: quantum chromodynamics, Standard Model of Particle Physics, quark, quark masses, hadron, nucleon, pion.

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