The Ps ion - A leptonic three body system

Artist view of the Ps− ion. The two electrons (green) are in a singlet state with their spins being aligned anti-parallel, while the spin orientation of the positron (red) is random.

The negative positronium ion Ps- is a bound system consisting of two electrons and a positron. Its three constituents are point-like leptonic particles of equal mass, which are only subject to the electroweak and the gravitational force. Hence Ps- is an ideal object to study the quantum mechanics of a three-body systems. The ground state of Ps- is stable against dissociation but unstable against annihilation into photons. We report here on a precise measurement of the Ps- ground state decay rate Γ, which was carried out at the high intensity positron source NEPOMUC at the research reactor FRM II in Garching. A value of Γ = 2.0875(50) ns-1 was obtained, which is three times more precise than previous experiments and in agreement with most recent theoretical predictions. The achieved experimental precision is at the level of the leading corrections in the theoretical predictions.

 

Experimental

Schematics of the experimental setup. From left to right: Production and acceleration device, field-free decay gap and tandem-like stripping and detection unit. Shown below: The landscape of the electric potential.

The beam-foil technique was applied to produce Ps- [Mil90] and a tadem-like setup was used for the detection of Ps-. The principle of this decay rate measurement is based on the measurement of the amount of surviving Ps- ions as function of their eigen time. Therefore, Ps- are produced and then drifted with defined energy over a decay gap with variable length. The intensity of the survivingPs- ions is measured as a function of the the width of the decay gap d: I ∝ e−μ•d. Hence the decay rate Γ in the eigen system can be derived from the decay constant μ in the lab system provided that the velocity of the Ps- in known to sufficient accuracy. The high intense positron beam provided by NEPOMUC is guided onto a DLC foil . A BGO-scintilation detector is used to measure the incident positron flux.

By passing through the foil the positron loses its energy and subsequently picks up two electrons to form Ps-. The starting energy of the Ps- ions is limited by the binding energy for the second electron, which is calculated to Eb = 0.326675 eV . The Ps- ions which emerge from the foil are accelerated in an electric field to their final energy of (Uaccel −Uprod )e = 2500 eV. After the acceleration the Ps- enters the field-free decay gap. The length of the gap can be adjusted by a high precision linear positioning stage. The surviving Ps- , which hurdle the decay gap are further accelerated in a tandem-accelerator-like setup, where the two electron are stripped off the Ps- ion and only the positron remains. This high energetic (40keV) positron, which serves as a fingerprint for Ps-, is magnetically guided onto a silicon particle detector. A dipole chicane is used to separate the positron from secondary electrons, which are produced by interactions of the annihilation radiation with the setup.

The count rate of the surviving Ps- ions is measured for a set of different gap distances in order to determine the decay constant μ.

Our present experimental efforts are concentrated on the measurement of the Ps- photo detachment cross-section and the production of a mono-energetic ortho-positronium beam.