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Universal behavior of diatomic halo states and the mass sensitivity of their properties

Owens, A; Špirko, V; (2019) Universal behavior of diatomic halo states and the mass sensitivity of their properties. Journal of Physics B: Atomic, Molecular and Optical Physics , 52 (2) , Article 025102. 10.1088/1361-6455/aaf5f9. Green open access

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Abstract

The scattering and spectroscopic properties of molecular halo states can serve as sensitive probes of the constancy of the electron-to-proton mass ratio \beta = m_{e}/m{p}. Since halo states are formed by resonant s-wave interactions, their properties exhibit universal correlations that are fairly independent of the interactions at short distances. For diatomic molecules, these properties depend on a single-parameter only, and so this 'universality' means that all the characteristics of a diatomic halo state can be determined with high precision if only one-parameter is accurately known. Furthermore, this knowledge can be used to establish the respective property mass sensitivities for investigating the stability of /beta. Here, we show for the halo states of the helium dimers that the relationship between the probed properties and their mass sensitivity can be derived from numerically exact solutions of suitable radial Schrödinger equations for a set of effective potential energy curves. The resulting relations exhibit a weak dependence on the short-range part of the used potentials and a near-negligible dependence on the 'higher-order' nonadiabatic, relativistic, quantum electrodynamical and residual retardation effects. The presented approach is thus a robust alternative to other literature approaches, particularly in cases where a lack of experimental data prevents an accurate interaction potential from being determined.

Type: Article
Title: Universal behavior of diatomic halo states and the mass sensitivity of their properties
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/1361-6455/aaf5f9
Publisher version: https://doi.org/10.1088/1361-6455/aaf5f9
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery.ucl.ac.uk/id/eprint/10074844
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