The experimental achievements and the current program with the LPCTrap device installed at the LIRAT beam line of the SPIRAL1-GANIL facility are presented. The device is dedicated to the study of the weak interaction at low energy by means of precise measurements of the β−ν angular correlation parameter. Technical aspects as well as the main results are reviewed. The future program with new available beams is briefly discussed.
The β−ν angular correlationThe structure of the weak interaction remains an important topic in the area of fundamental interaction physics. In particular, at low energies, there are nowadays ambitious experimental programs to search for "exotic" currents beyond the V-A theory [1,2]. Such studies have recently made significant progress with the advent of improved trapping techniques [3,4]. These sophisticated setups allow the production of β-decay sources almost at rest and confined in small volumes that can be surrounded by suitable detectors [5,6]. We describe here the achievements made with the LPCTrap setup installed at GANIL 1 . The experimental program is dedicated to precision measurements of the β−ν angular correlation parameter.From a theoretical point of view, the generalization of Fermi's theory leads to consideration of five different Lorentz invariant contributions in the transition amplitude describing nuclear beta decay, which are referred to as scalar (S), vector (V), tensor (T), axial-vector (A) and pseudoscalar (P). The search for S and T exotic contributions can be performed through a precise measurement of the β−ν angular correlation parameter, a βν . For allowed transitions and nonoriented nuclei, this parameter can be directly inferred from an events distribution linked to the angular correlation between the leptons [7].
GANIL: Grand Accélérateur National d'Ions LourdsSince neutrinos are difficult to detect, a sensitive observable for a β−ν angular correlation measurement is a kinematic parameter of the recoiling daughter nucleus. If the β particles and the recoil ions are detected in coincidence and the relative time of flight (ToF) is measured between the two particles, the expected distribution of events in the electron energy and recoil ion time of flight, t, is for all solid angles detected:where T e , E e and r(t) denote the kinetic and total energies of the β particle and the recoil ion momentum, respectively. Q is the energy available in the transition, K is a constant and F(± Z, E e ) is the Fermi function (β − and β + decays). The parameter a βν and the Fierz interference term b depend on the coupling constants, C i and C i (i = S, V, T, A), associated to the different contributions [7]: