Relating Binding Energy and Scattering Length of Weakly Bound Dimers of Strontium
Result description
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.
Keywords
binding energyinteraction potentialmass sensitivity of spectral propertiesscattering length
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/00216208:11320/21:10437426
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Relating Binding Energy and Scattering Length of Weakly Bound Dimers of Strontium
Original language description
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.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10403 - Physical chemistry
Result continuities
Project
GA18-00918S: Quantum Dynamics of Astrophysically Important Molecules
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annalen der Physik
ISSN
0003-3804
e-ISSN
1521-3889
Volume of the periodical
533
Issue of the periodical within the volume
4
Country of publishing house
DE - GERMANY
Number of pages
7
Pages from-to
2000588
UT code for WoS article
000629646800001
EID of the result in the Scopus database
2-s2.0-85102644139
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Physical chemistry
Year of implementation
2021