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Low-Temperature Scattering with the R-Matrix Method: The Morse Potential

Rivlin, T; McKemmish, LK; Tennyson, J; (2019) Low-Temperature Scattering with the R-Matrix Method: The Morse Potential. In: Deshmukh, PC and Krishnakumar, E and Fritzsche, S and Krishnamurthy, M and Majumder, S, (eds.) Quantum Collisions and Confinement of Atomic and Molecular Species, and Photons: Select Proceedings of the 7th Topical Conference of ISAMP 2018. (pp. pp. 257-273). Springer: Singapore. Green open access

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Abstract

Experiments are starting to probe collisions and chemical reactions between atoms and molecules at ultralow temperatures. We have developed a new theoretical procedure for studying these collisions using the R-matrix method. Here, this method is tested for the atom—atom collisions described by a Morse potential. Analytic solutions for continuum states of the Morse potential are derived and compared with numerical results computed using an R-matrix method, where the inner region wavefunctions are obtained using a standard nuclear motion algorithm. Results are given for eigenphases and scattering lengths. Excellent agreement is obtained in all cases. Progress in developing a general procedure for treating ultralow energy reactive and non-reactive collisions is discussed.

Type: Proceedings paper
Title: Low-Temperature Scattering with the R-Matrix Method: The Morse Potential
Event: 7th Topical Conference of ISAMP 2018
ISBN-13: 978-981-13-9968-8
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/978-981-13-9969-5_25
Publisher version: https://doi.org/10.1007/978-981-13-9969-5_25
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.
Keywords: Quantum collisions, Spectroscopy of atoms and molecules, Wigner time delay, Laser cooling, Bose-Einstein condensates, Atomic clocks, Quantum computing, Photoionization, Topical conference of ISAMP
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-pp.ucl.ac.uk/id/eprint/10088932
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