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Abstract <p>Within the framework of the relativistic quasipotential approach based on the covariant Hamiltonian formulation of quantum field theory and transition to the three-dimensional relativistic configuration representation in the case of two relativistic spinor particles with arbitrary masses new expressions for the scalar form factor and mean-square radius of the composite system of two relativistic particles with arbitrary masses and spins 1/2 are obtained. The pseudoscalar, vector and pseudovector composite systems were considered. For them, an identity was derived that establishes a relation between masses and spins of the quarks forming the composite systems. Values of the mean-square radius of the ground-state s-wave level of pseudoscalar <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\pi^{\pm}\)</EquationSource> <!--BPhysMGU2570229Chernichenko-m1--> </InlineEquation>-, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(K^{\pm}\)</EquationSource> <!--BPhysMGU2570229Chernichenko-m2--> </InlineEquation>-, and <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(K_{0}\)</EquationSource> <!--BPhysMGU2570229Chernichenko-m3--> </InlineEquation>-mesons with the Coulomb interaction are calculated. An analysis has been performed, and the dependence of the form factor and the mean-square radius on the differences between the quark masses forming the mesons has been established.</p>

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

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Yu. D. Chernichenko

摘要

Abstract

Within the framework of the relativistic quasipotential approach based on the covariant Hamiltonian formulation of quantum field theory and transition to the three-dimensional relativistic configuration representation in the case of two relativistic spinor particles with arbitrary masses new expressions for the scalar form factor and mean-square radius of the composite system of two relativistic particles with arbitrary masses and spins 1/2 are obtained. The pseudoscalar, vector and pseudovector composite systems were considered. For them, an identity was derived that establishes a relation between masses and spins of the quarks 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 the Coulomb interaction are calculated. An analysis has been performed, and the dependence of the form factor and the mean-square radius on the differences between the quark masses forming the mesons has been established.