{"title":"Step toward estimation of the neutral-hadron size: The gravitational mass radius of π0 meson in a relativistic theory of composite particles","authors":"A. F. Krutov, V. E. Troitsky","doi":"10.1103/physrevd.111.034034","DOIUrl":null,"url":null,"abstract":"We extend our nonperturbative essentially relativistic approach, elaborated previously, to perform an approximate estimation of the size of π</a:mi></a:mrow>0</a:mn></a:msup></a:mrow></a:math> meson. We present detailed argumentation for choosing the mass mean square radius (mass MSR) for this purpose. Its value calculated in our approach, using three model quark-antiquark wave functions in pion, is <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mo stretchy=\"false\">(</c:mo><c:mn>0.5</c:mn><c:mo>–</c:mo><c:mn>0.53</c:mn><c:mo stretchy=\"false\">)</c:mo><c:mtext> </c:mtext><c:mtext> </c:mtext><c:mi>fm</c:mi></c:math>. The neutral-pion electromagnetic form factor is zero in accordance with the charge-conjugation symmetry. We demonstrate ambiguities encountered when using standard definitions of mechanical MSR for the size. We discuss MSRs obtained in various approaches and their comparison with each other and with our results. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"27 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.034034","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
We extend our nonperturbative essentially relativistic approach, elaborated previously, to perform an approximate estimation of the size of π0 meson. We present detailed argumentation for choosing the mass mean square radius (mass MSR) for this purpose. Its value calculated in our approach, using three model quark-antiquark wave functions in pion, is (0.5–0.53)fm. The neutral-pion electromagnetic form factor is zero in accordance with the charge-conjugation symmetry. We demonstrate ambiguities encountered when using standard definitions of mechanical MSR for the size. We discuss MSRs obtained in various approaches and their comparison with each other and with our results. Published by the American Physical Society2025
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.