---
_id: '1918'
abstract:
- lang: eng
  text: As the nuclear charge Z is continuously decreased an N-electron atom undergoes
    a binding-unbinding transition. We investigate whether the electrons remain bound
    and whether the radius of the system stays finite as the critical value Zc is
    approached. Existence of a ground state at Zc is shown under the condition Zc
    < N-K, where K is the maximal number of electrons that can be removed at Zc
    without changing the energy.
article_number: '1350021'
article_processing_charge: No
arxiv: 1
author:
- first_name: Jacopo
  full_name: Bellazzini, Jacopo
  last_name: Bellazzini
- first_name: Rupert
  full_name: Frank, Rupert
  last_name: Frank
- first_name: Élliott
  full_name: Lieb, Élliott
  last_name: Lieb
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Bellazzini J, Frank R, Lieb É, Seiringer R. Existence of ground states for
    negative ions at the binding threshold. <i>Reviews in Mathematical Physics</i>.
    2014;26(1). doi:<a href="https://doi.org/10.1142/S0129055X13500219">10.1142/S0129055X13500219</a>
  apa: Bellazzini, J., Frank, R., Lieb, É., &#38; Seiringer, R. (2014). Existence
    of ground states for negative ions at the binding threshold. <i>Reviews in Mathematical
    Physics</i>. World Scientific Publishing. <a href="https://doi.org/10.1142/S0129055X13500219">https://doi.org/10.1142/S0129055X13500219</a>
  chicago: Bellazzini, Jacopo, Rupert Frank, Élliott Lieb, and Robert Seiringer. “Existence
    of Ground States for Negative Ions at the Binding Threshold.” <i>Reviews in Mathematical
    Physics</i>. World Scientific Publishing, 2014. <a href="https://doi.org/10.1142/S0129055X13500219">https://doi.org/10.1142/S0129055X13500219</a>.
  ieee: J. Bellazzini, R. Frank, É. Lieb, and R. Seiringer, “Existence of ground states
    for negative ions at the binding threshold,” <i>Reviews in Mathematical Physics</i>,
    vol. 26, no. 1. World Scientific Publishing, 2014.
  ista: Bellazzini J, Frank R, Lieb É, Seiringer R. 2014. Existence of ground states
    for negative ions at the binding threshold. Reviews in Mathematical Physics. 26(1),
    1350021.
  mla: Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at
    the Binding Threshold.” <i>Reviews in Mathematical Physics</i>, vol. 26, no. 1,
    1350021, World Scientific Publishing, 2014, doi:<a href="https://doi.org/10.1142/S0129055X13500219">10.1142/S0129055X13500219</a>.
  short: J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics
    26 (2014).
corr_author: '1'
date_created: 2018-12-11T11:54:42Z
date_published: 2014-02-01T00:00:00Z
date_updated: 2025-09-29T12:19:33Z
day: '01'
department:
- _id: RoSe
doi: 10.1142/S0129055X13500219
external_id:
  arxiv:
  - '1301.5370'
  isi:
  - '000329928300004'
intvolume: '        26'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1301.5370
month: '02'
oa: 1
oa_version: Submitted Version
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
  name: NSERC Postdoctoral fellowship
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '5176'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Existence of ground states for negative ions at the binding threshold
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 26
year: '2014'
...