Published February 2014
| Submitted
Journal Article
Open
Existence of ground states for negative ions at the binding threshold
Abstract
As the nuclear charge Z is continuously decreased an N-electron atom undergoes a binding-unbinding transition at some critical Z_c. We investigate whether the electrons remain bound when Z=Z_c and whether the radius of the system stays finite as Z_c is approached. Existence of a ground state at Z_c is shown under the condition Z_c
Additional Information
© 2014 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. Partial financial support from PRIN 2009 'Metodi Variazionali e Topologici nello Studio di Fenomeni non Lineari' (J.B.), the U.S. National Science Foundation through grants PHY-1068285 (R.F.), PHY-0965859 (E.L.), the Simons Foundation (# 230207, E.L.) and the NSERC (R.S.) is acknowledged.Attached Files
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Additional details
- Eprint ID
- 77195
- Resolver ID
- CaltechAUTHORS:20170504-103757590
- Ministero dell'Istruzione, dell'Università e della Ricerca (MIUR)
- PHY-1068285
- NSF
- PHY-0965859
- NSF
- 230207
- Simons Foundation
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Created
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2017-05-04Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field