The goal is first to observe
[π-K+] and [π+K-] atoms
and then to measure their lifetime.
A measurement of the [πK] atom lifetime will shed new light on
relevant S-wave πK scattering lengths.
A test of chiral perturbation predictions involving - besides
the u and d quark - also the s quark (3-flavour case)
is of substantial interest:
it provides a way to investigate a potential flavour dependence of
the quark condensate responsible for chiral symmetry breaking.
The outcome will be a measurement of the difference
|a1/2−a3/2|,
where aI
means the S-wave πK scattering length with isospin I.
In a first step DIRAC expects to measure the atom lifetime with 20%
and hence the scattering lengths difference with around 10% precision.
The [πK] atom lifetime is predicted to be
(3.7±0.4) fs.