Evaluation of the two lightest quark masses

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 nuc...

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Main Authors: V. A. Babenko, N. M. Petrov
Format: Article
Language:English
Published: Institute for Nuclear Research, National Academy of Sciences of Ukraine 2017-12-01
Series:Âderna Fìzika ta Energetika
Subjects:
Online Access:http://jnpae.kinr.kiev.ua/18.3/html/18.3.0222.html
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author V. A. Babenko
N. M. Petrov
author_facet V. A. Babenko
N. M. Petrov
author_sort V. A. Babenko
collection DOAJ
description 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.
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spelling doaj.art-5876038949c243e3b1814f2402a49a4c2022-12-21T23:18:49ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineÂderna Fìzika ta Energetika1818-331X2074-05652017-12-01183222229Evaluation of the two lightest quark massesV. A. Babenko0N. M. Petrov 1Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine 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.http://jnpae.kinr.kiev.ua/18.3/html/18.3.0222.htmlquantum chromodynamicsStandard Model of Particle Physicsquarkquark masseshadronnucleonpion
spellingShingle V. A. Babenko
N. M. Petrov
Evaluation of the two lightest quark masses
Âderna Fìzika ta Energetika
quantum chromodynamics
Standard Model of Particle Physics
quark
quark masses
hadron
nucleon
pion
title Evaluation of the two lightest quark masses
title_full Evaluation of the two lightest quark masses
title_fullStr Evaluation of the two lightest quark masses
title_full_unstemmed Evaluation of the two lightest quark masses
title_short Evaluation of the two lightest quark masses
title_sort evaluation of the two lightest quark masses
topic quantum chromodynamics
Standard Model of Particle Physics
quark
quark masses
hadron
nucleon
pion
url http://jnpae.kinr.kiev.ua/18.3/html/18.3.0222.html
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