GBAR Gravitational behavior of antihydrogen at rest

The GBAR project aims to perform the first test of the Equivalence Principle with antimatter by measuring the free fall of ultra-cold antihydrogen atoms. The objective is to measure the gravitational acceleration to better than a percent in a first stage, with a long term perspective to reach a much higher precision using gravitational quantum states of antihydrogen. The production of similar to 20 mu K atoms proceeds via sympathetic cooling of ($) over barH+ ions by Be+ ions. ($) over barH+ ions are produced via a two-step process, involving the interaction of bursts of 10(7) slow antiprotons from the AD (or ELENA upgrade) at CERN with a dense positronium cloud. In order to produce enough positronium, it is necessary to realize an intense source of slow positrons, a few 10(8) per second. This is done with a small electron linear accelerator. A few 10(10) positrons are accumulated every cycle in a Penning-Malmberg trap before they are ejected onto a positron-to-positronium converter. The overall scheme of the experiment is described and the status of the installation of the prototype positron source at Saclay is shown. The accumulation scheme of positrons is given, and positronium formation results are presented. The estimated performance and efficiency of the various steps of the experiment are given.