Rigorous bounds on quark masses within a nonrelativistic approach |
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Authors: | R A Bertlmann Seiji Ono |
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Institution: | 1. Institut für Theoretische Physik, University, A-1090, Wien, Austria 2. Institut für Theoretische Physik, RWTH, D-5100, Aachen, Germany
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Abstract: | By applying the Feynman-Hellmann theorem to \(q\bar q\) systems we find the following bounds on quark mass differences from the spectrum ofall quarkonium states $$\begin{gathered} 0.27 \leqq m_s - m_u \leqq 0.45GeV \hfill \\ 1.23 \leqq m_c - m_s \leqq 1.46GeV \hfill \\ 3.30 \leqq m_b - m_c \leqq 3.55GeV. \hfill \\ \end{gathered}$$ As best values we derive $$\begin{gathered} m_u = m_d = 0.31GeV,m_s = 0.62GeV, \hfill \\ m_c = 1.91GeV,m_b = 5.27GeV. \hfill \\ \end{gathered}$$ |
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