The heavy-quark pole masses in the Hamiltonian approach

Details The heavy-quark pole masses in the Hamiltonian approach The heavy-quark pole masses in the Hamiltonian approach

2003-11-01

arxiv.org/abs/hep-ph/0311010v2

Phys.Atom.Nucl. 67 (2004) 1367-1377; Yad.Fiz. 67 (2004) 1392-1402

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, no figures, 8 tables

Scientific paper

From the fact that the nonperturbative self-energy contribution $C_{\rm SE}$ to the heavy meson mass is small: $C_{\rm SE}(b\bar{b})=0$; $C_{\rm SE}(c\bar{c})\cong -40$ MeV \cite{ref.01}, strong restrictions on the pole masses $m_b$ and $m_c$ are obtained. The analysis of the $b\bar{b}$ and the $c\bar{c}$ spectra with the use of relativistic (string) Hamiltonian gives $m_b$(2-loop)$=4.78\pm 0.05$ GeV and $m_c$(2-loop)$=1.39 \pm 0.06$ GeV which correspond to the $\bar{\rm MS}$ running mass $\bar{m}_b(\bar{m}_b)=4.19\pm 0.04$ GeV and $\bar{m}_c(\bar{m}_c)=1.10\pm 0.05$ GeV. The masses $\omega_c$ and $\omega_b$, which define the heavy quarkonia spin structure, are shown to be by $\sim 200$ MeV larger than the pole ones.

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