In:
SciPost Physics, Stichting SciPost, Vol. 13, No. 2 ( 2022-08-15)
Abstract:
The CREMA collaboration is pursuing a measurement of the ground-state
hyperfine splitting (HFS) in muonic hydrogen ( \mu μ p)
with 1 ppm accuracy by means of pulsed laser spectroscopy to determine the two-photon-exchange contribution with 2\times10^{-4} 2 × 10 − 4 relative accuracy. In the proposed experiment, the \mu μ p
atom undergoes a laser excitation from the singlet hyperfine state to the triplet hyperfine state, then is quenched back to the singlet
state by an inelastic collision with a H _2 2 molecule. The resulting increase of kinetic energy after the collisional
deexcitation is used as a signature of a successful laser transition between hyperfine states. In this paper, we calculate the combined
probability that a \mu μ p
atom initially in the singlet hyperfine state undergoes a laser excitation to the triplet state followed by a collisional-induced
deexcitation back to the singlet state. This combined probability has been computed using the optical Bloch equations including the inelastic
and elastic collisions. Omitting the decoherence effects caused by the laser bandwidth and collisions would overestimate the transition
probability by more than a factor of two in the experimental conditions. Moreover, we also account for Doppler effects and provide
the matrix element, the saturation fluence, the elastic and inelastic collision rates for the singlet and triplet states, and the resonance
linewidth. This calculation thus quantifies one of the key unknowns of the HFS experiment, leading to a precise definition of the requirements
for the laser system and to an optimization of the hydrogen gas target where \mu μ p
is formed and the laser spectroscopy will occur.
Type of Medium:
Online Resource
ISSN:
2542-4653
DOI:
10.21468/SciPostPhys
DOI:
10.21468/SciPostPhys.13.2.020
Language:
Unknown
Publisher:
Stichting SciPost
Publication Date:
2022
detail.hit.zdb_id:
2886659-9
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