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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Format: | Article |
Language: | English |
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Institute for Nuclear Research, National Academy of Sciences of Ukraine
2017-12-01
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Series: | Âderna Fìzika ta Energetika |
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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. |
first_indexed | 2024-12-14T03:28:01Z |
format | Article |
id | doaj.art-5876038949c243e3b1814f2402a49a4c |
institution | Directory Open Access Journal |
issn | 1818-331X 2074-0565 |
language | English |
last_indexed | 2024-12-14T03:28:01Z |
publishDate | 2017-12-01 |
publisher | Institute for Nuclear Research, National Academy of Sciences of Ukraine |
record_format | Article |
series | Âderna Fìzika ta Energetika |
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 |
work_keys_str_mv | AT vababenko evaluationofthetwolightestquarkmasses AT nmpetrov evaluationofthetwolightestquarkmasses |