Study of \({\mathrm B^0_s}\overline{\mathrm B^0_s}\) oscillations and \({\mathrm B^0_s}\) lifetimes using hadronic decays of \({\mathrm B^0_s}\) mesons
 P. Abreu et al.,
 The DELPHI Collaboration
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Oscillations of \(\mbox{B}^0_{\mathrm{s}}\) mesons have been studied in samples selected from about 3.5 million hadronic \(\mathrm{Z}\) decays detected by DELPHI between 1992 and 1995. One analysis uses events in the exclusive decay channels: \(\mathrm{B^0_s}\rightarrow \rm{D}_{s}^{} \pi^{+}\) or \(\rm{D}_{s}^{}\mathrm{a_1^+}\) and \(\mathrm{B^0_s} \rightarrow \overline{\mathrm{D}}^0\mathrm{K}^\pi^+ \) or \(\overline{\mathrm{D}}^0\mathrm{K}^\mathrm{a_1^+}\) , where the \({\mathrm{D}}\) decays are completely reconstructed. In addition, \(\mbox{B}^0_{\mathrm{s}}\overline{\mbox{B}^0_{\mathrm{s}}}\) oscillations have been studied in events with an exclusively reconstructed \({\mathrm{D_s}}\) accompanied in the same hemisphere by a high momentum hadron of opposite charge. Combining the two analyses, a limit on the mass difference between the physical \(\mbox{B}^0_{\mathrm{s}}\) states has been obtained:
\[ \Delta m_{\mathrm{B^0_s}} > 4.0 \mbox{ps}^{1} \mbox{at the 95% C.L.}\]
\[ \mbox{with a sensitivity of} \Delta m_{\mathrm{B^0_s}} = 3.2 \mbox{ps}^{1}.\]
Using the latter sample of events, the \(\mathrm{B^0_s}\) lifetime has been measured and an upper limit on the decay width difference between the two physical \(\mathrm{B^0_s}\) states has been obtained:
\[\tau_{\mathrm{B^0_s}} = 1.53^{+0.16}_{0.15}(\rm{stat}.)\pm{0.07}(\rm{syst}.) \mathrm{ps}\]
\[\Delta \Gamma_{\mathrm{B^0_s}}/\Gamma_{\mathrm{B^0_s}} < 0.69 \mbox{at the 95% C.L.}\]
The combination of these results with those obtained using \({\rm{D}_{s}^{\pm}} \ell^{\mp}\) sample gives:
\[ \Delta m_{\mathrm{B^0_s}} > 4.9 \mbox{ps}^{1} \mbox{at the 95% C.L.}\]
\[ \mbox{with a sensitivity of} \Delta m_{\mathrm{B^0_s}} = 8.7 \mbox{ps}^{1}.\]
\[ \tau_{\mathrm{B^0_s}} = 1.46\pm{0.11} \mathrm{ps}\quad \mbox{and}\quad \Delta \Gamma_{\mathrm{B^0_s}}/\Gamma_{\mathrm{B^0_s}} < 0.45 \mbox{at the 95% C.L.} \]
 Title
 Study of \({\mathrm B^0_s}\overline{\mathrm B^0_s}\) oscillations and \({\mathrm B^0_s}\) lifetimes using hadronic decays of \({\mathrm B^0_s}\) mesons
 Journal

The European Physical Journal C  Particles and Fields
Volume 18, Issue 2 , pp 229252
 Cover Date
 20001201
 DOI
 10.1007/s100520000531
 Print ISSN
 14346044
 Online ISSN
 14346052
 Publisher
 SpringerVerlag
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 Authors

 P. Abreu et al. ^{(A22)}
 The DELPHI Collaboration
 Author Affiliations

 A22. LIP, IST, FCUL  Av. Elias Garcia, 141°, 1000 Lisboa Codex, Portugal, PT