Bounds on fifth forces at the sub-Angstrom length scale

E. J. Salumbides; W. Ubachs; V. I. Korobov

doi:10.1016/j.jms.2014.04.003

paper

Bounds on fifth forces at the sub-Angstrom length scale

arXiv:1308.1711 · doi:10.1016/j.jms.2014.04.003

Abstract

Constraints on a possible fifth-force interaction between hadrons are derived based on an analysis of results from laser precision frequency measurements of antiprotonic helium atoms, both $p ˉ^{4}$ He $^{+}$ and $p ˉ^{3}$ He $^{+}$ species, and from experiments on resonant formation rates of $dd μ^{+}$ -ions in muon-catalyzed fusion processes. A comparison is made between accurate experimental data and first-principles theoretical descriptions of the exotic systems within a quantum electrodynamical framework. The agreement between theory and experiment sets limits on a possible additional hadron-hadron interaction written in the form of a Yukawa potential $V_{5} (r) = α_{5} exp (- r / λ) / r$ , with $λ$ representing the characteristic length scale associated with the mass of a hypothetical force-carrying particle via $λ = ℏ/ (m_{5} c)$ . The laser spectroscopic data of antiprotonic helium set a constraint of $α_{5} / α_{E M} < 1 0^{- 8}$ for $λ < 1$ Å, while the binding energy of the muonic molecular deuterium ion delivers a constraint of $α_{5} / α_{E M} \sim 1 0^{- 5}$ for $λ < 0.05$ Å, where $α_{E M}$ represents the strength of the electromagnetic interaction or the fine structure constant.

Bounds on fifth forces at the sub-Angstrom length scale

Abstract

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