On meson masses

Details On meson masses On meson masses

2005-12-15

arxiv.org/abs/hep-ph/0512196v1

FewBodySyst.40:131-143,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 6 figures

Scientific paper

10.1007/s00601-007-0173-7

It is shown that in the framework of analytical confinement, when quark and gluon propagators are induced by an vacuum selfdual gluon field with constant strength, the masses of meson with quantum numbers $Q=J^P$ and quark constituents $m_1,~m_2$ are described with reasonable accuracy by the formula $$ M_Q(m_1,m_2)=(m_1+m_2)[1+{A_Q\over (m_1^2+1.13m_1m_2+m_2^2)^{0.625}}],$$ where a constant positive parameter $A_Q$ is unique for all mesons with quantum numbers $Q=J^P$. Sets of mesons $J^P=0^-,~1^-,~0^+,~1^+,~2^+,~3^-$ and different flavors constituent quarks $(u=d,~s,~,c~,b)$ are considered.

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