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On Meson Masses

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Abstract.

It is shown that in the framework of an analytical confinement, when quark and gluon propagators are induced by a vacuum self-dual gluon field with constant strength, the masses of mesons with quantum numbers Q = (J P,n), where n is the radial quantum number, and quark constituents m 1, m 2 are described with reasonable accuracy by the formula \(M_Q(m_1,m_2)=(m_1+m_2)\left[1+\frac{A_Q}{(m_1+m_2)^{1.23}}\right].\) The positive parameter A Q is unique for all mesons with a fixed quantum number Q. Sets of mesons J P = 1−, 0+, 1+, 2+, 3− for n = 0 and 1− , 2+ for n > 0 and different flavor constituent quarks (u = d, s, c, b) are considered.

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  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia

    G. V. Efimov

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  1. G. V. Efimov
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Efimov, G. On Meson Masses. Few-Body Systems 40, 131–143 (2007). https://doi.org/10.1007/s00601-007-0173-7

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