Relating Binding Energy and Scattering Length of Weakly Bound Dimers of Strontium

0541488 - ÚOCHB 2022 RIV DE eng J - Journal Article
Augustovičová, L. D. - Špirko, Vladimír
Relating Binding Energy and Scattering Length of Weakly Bound Dimers of Strontium.
Annalen der Physik. Roč. 533, č. 4 (2021), č. článku 2000588. ISSN 0003-3804. E-ISSN 1521-3889
Institutional support: RVO:61388963
Keywords : binding energy * interaction potential * mass sensitivity of spectral properties * scattering length
OECD category: Physical chemistry
Impact factor: 3.047, year: 2021
Method of publishing: Limited access
https://doi.org/10.1002/andp.202000588

The s‐wave scattering length (a) is an important parameter in ultracold collisions and precision tests of fundamental physics, yet its accurate calculation remains a challenge. Solving suitable vibrational Schrödinger equations with scaled interaction potentials and reduced masses, the relationship between the binding energy (D0) of the highest vibrational state and the s‐wave scattering length is derived for a set of ground state Sr2 isotopomers. The resulting “a versus D0” relations are robust even if approximate potentials are used, thus enabling reliable scattering lengths to be determined directly from experimental binding energies. The presented approach will have broad applicability, notably when an accurate potential is unavailable and when the literature (semiclassical) counterparts of the probed “a versus D0” relations become inadequate.
Permanent Link: http://hdl.handle.net/11104/0319053