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Antiproton-proton annihilation at rest intoπ + π η andπ + π η from atomicS andP states

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Zeitschrift für Physik C Particles and Fields

Abstract

We have measured the branching ratios for\(\bar pp\) annihilation at rest intoπ + π η andπ + π η′ in hydrogen gas in two data samples that have different fractions ofS-wave andP-wave initial states. The branching ratios are derived from a comparison with the topological branching ratio for\(\bar pp\) annihilations into four charged pions of (49±4)% and the branching ratio intoπ + π π + π π 0 of (18.7±1.6)%. We find a significant reduction of the branching ratios fromP-states for\(\bar pp \to \pi ^ + \pi ^ - \eta \) andπ + π η′ in comparison toS-state annihilation.

$$\begin{gathered} BR(S - wave \to \pi ^ + \pi ^ - \eta ) = (13.7 \pm 1.46) \cdot 10^{ - 3} \hfill \\ BR(P - wave \to \pi ^ + \pi ^ - \eta ) = (3.35 \pm 0.84) \cdot 10^{ - 3} \hfill \\ BR(S - wave \to \pi ^ + \pi ^ - \eta ') = (3.46 \pm 0.67) \cdot 10^{ - 3} \hfill \\ BR(P - wave \to \pi ^ + \pi ^ - \eta ') = (0.61 \pm 0.33) \cdot 10^{ - 3} . \hfill \\ \end{gathered} $$

In a partial wave analysis of theπ + π η Dalitz plot we find the following contributions: Phase space,\(a_2^ + (1320)\pi ^ \mp \),ηρ0 andf 2(1270)η:

$$\begin{gathered} BR(S - wave \to \pi ^ + \pi ^ - \eta PS) = (6.31 \pm 1.22) \cdot 10^{ - 3} \hfill \\ BR(P - wave \to \pi ^ + \pi ^ - \eta PS) = (0.47 \pm 0.26) \cdot 10^{ - 3} \hfill \\ BR(^1 S_0 \to a_2^ \pm (1320)\pi ^ \mp ) = (2.59 \pm 0.73) \cdot 10^{ - 3} \hfill \\ BR(^3 S_1 \to a_2^ \pm (1320)\pi ^ \mp ) = (1.31 \pm 0.48) \cdot 10^{ - 3} \hfill \\ BR(P - wave \to a_2^ \pm (1320)\pi ^ \mp ) = (1.31 \pm 0.69) \cdot 10^{ - 3} \hfill \\ BR(^3 S_1 \to \rho \eta ) = (3.29 \pm 0.90) \cdot 10^{ - 3} \hfill \\ BR(^1 P_1 \to \rho \eta ) = (0.94 \pm 0.53) \cdot 10^{ - 3} \hfill \\ BR(^1 S_0 \to f_2 (1270)\eta ) = (0.083 \pm 0.086) \cdot 10^{ - 3} \hfill \\ BR(P - wave \to f_2 (1270)\eta ) = (0.64 \pm 0.26) \cdot 10^{ - 3} . \hfill \\ \end{gathered} $$

We find a 2 σ effect for the reaction\(\bar pp \to a_0^ \pm (980)\pi ^ \mp \),\(a_0^ \pm \to \eta \pi ^ \pm \), with a branching ratio of (0.13±0.07)·10−3. For η' production we give a branching ratio of\(\bar pp \to \rho \eta '\) of (1.81±0.44)·10−3 from3 S 1. We estmate a contribution of about 0.3·10−3 for ρη' fromP-states. The ratio of ρη and ρη' rpoduction is used to test the validity of the quark line rule. In theπ + π π + π γ final state we do not observe the reaction\(\bar pp \to \pi ^ + \pi ^ - \omega \) , ω→π + π λ and derive an upper limit of 3·10−3 for decay modeωπ + π λ.

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This work comprises part of the thesis of P. Weidenauer

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ASTERIX Collaboration., Weidenauer, P., Duch, K.D. et al. Antiproton-proton annihilation at rest intoπ + π η andπ + π η from atomicS andP states. Z. Phys. C - Particles and Fields 47, 353–365 (1990). https://doi.org/10.1007/BF01565858

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