Scholarlink

Abstract <p>The new expressions for the form factor components and mean-square radius for the vector current of the composite system of two relativistic particles with arbitrary masses and spin 1/2 are obtained. The pseudoscalar, vector, and pseudovector composite systems were considered. For them, an identity was derived that establishes the dependence between masses and quark spins forming the composite systems. Values of the mean-square radius of the ground-state <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11972_2025_8831_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(s\)</EquationSource> <!--BPhysMGU2570081Chernichenko-m1--> </InlineEquation>-wave level of pseudoscalar <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11972_2025_8831_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(\pi^{\pm}\)</EquationSource> <!--BPhysMGU2570081Chernichenko-m2--> </InlineEquation>-, <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11972_2025_8831_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="28" /> </InlineMediaObject> <EquationSource Format="TEX">\(K^{\pm}\)</EquationSource> <!--BPhysMGU2570081Chernichenko-m3--> </InlineEquation>-, and <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11972_2025_8831_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\(K_{0}\)</EquationSource> <!--BPhysMGU2570081Chernichenko-m4--> </InlineEquation>-mesons with Coulomb interaction are calculated. The analysis is performed, and the dependence of the behaviour of the mean-square radius concerning the differences in quark masses forming the mesons is established. The consideration is conducted within the framework of the relativistic quasipotential approach based on the covariant Hamiltonian formulation of quantum field theory by transition to the three-dimensional relativistic configurational representation in the case of two relativistic spinor particles with arbitrary masses.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Form Factor and Mean-Square Radius of the Vector Current of a Composite System of Two Particles with Arbitrary Masses and Spins 1/2

  • 期刊论文

  • 发表日期：

    2025年8月1日

查看全文
  • Yu. D. Chernichenko

摘要

Abstract

The new expressions for the form factor components and mean-square radius for the vector current of the composite system of two relativistic particles with arbitrary masses and spin 1/2 are obtained. The pseudoscalar, vector, and pseudovector composite systems were considered. For them, an identity was derived that establishes the dependence between masses and quark spins forming the composite systems. Values of the mean-square radius of the ground-state \(s\) -wave level of pseudoscalar \(\pi^{\pm}\) -, \(K^{\pm}\) -, and \(K_{0}\) -mesons with Coulomb interaction are calculated. The analysis is performed, and the dependence of the behaviour of the mean-square radius concerning the differences in quark masses forming the mesons is established. The consideration is conducted within the framework of the relativistic quasipotential approach based on the covariant Hamiltonian formulation of quantum field theory by transition to the three-dimensional relativistic configurational representation in the case of two relativistic spinor particles with arbitrary masses.