Study of the D^0 \to pi^-pi^+pi^-pi^+ decay

Abstract

Using data from the FOCUS (E831) experiment at Fermilab, we present new measurements for the Cabibbo-suppressed decay mode $D^0\to {\pi }^{-}{\pi }^{+}{\pi }^{-}{\pi }^{+}$. We measure the branching ratio $\Gamma (D^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-})/\Gamma (D^0\to K^{-}{\pi }^{+}{\pi }^{-}{\pi }^{+})=0.0914\pm 0.0018\pm 0.0022$. An amplitude analysis has been performed, a first for this channel, in order to determine the resonant substructure of this decay mode. The dominant component is the decay $D^0\to a_1(1260{)}^{+}{\pi }^{-}$, accounting for 60% of the decay rate. The second most dominant contribution comes from the decay $D^0\to \rho (770{)}^0\rho (770{)}^0$, with a fraction of 25%. We also study the $a_1(1260)$ line shape and resonant substructure. Using the helicity formalism for the angular distribution of the decay $D^0\to \rho (770{)}^0\rho (770{)}^0$, we measure a longitudinal polarization of $P_L=(71\pm 4\pm 2)$%.

38 pages, 8 figures. accepted for publication in Physical Review D

References in corpus (4)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• New Measurements of Cabibbo-Suppressed Decays of D Mesons in CLEO-c
• Measurements of branching fraction, polarization, and charge asymmetry of B+ --> rho+ rho0 and a search for B+ --> rho+ f0(980)

Cited by in corpus (16)

• Shedding light on CP violation in the charm system via D to V gamma decays
• First model-independent determination of the relative strong phase between D0 and D0B --> K0Spi+pi- and its impact on the CKM Angle gamma/phi3 measurement
• Long-Distance Contributions to D^0-D^0bar Mixing Parameters
• Amplitude Analyses of $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ and $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ Decays
• Model-independent search for CP violation in D0 to K-K+pi-pi+ and D0 to pi-pi+pi+pi- decays
• Hadronic D and D_s Meson Decays
• $a_1(1260),a_1(1420)$ and the production in heavy meson decays
• Search for $CP$ violation in the phase space of $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ decays
• Angular momentum coefficients for meson strong decay and unquenched quark models
• On model-independent searches for direct CP violation in multi-body decays
• Constraints imposed by the partial wave amplitudes on the decays of $J=1,2$ mesons
• First measurement of polarizations in the decay $D^0\to \omega \varphi$
• The role of triangle singularity in the decay process $D^0\to {\pi }^{+}{\pi }^{-}{f}_0(980),f_0\to {\pi }^{+}{\pi }^{-}$
• Highlights of recent BESIII results
• Charm Hadronic Decays From FOCUS: Lessons Learnt
• Charge asymmetry in the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0\gamma$