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Resonant spectra of multipole-bound anions

Journal Article · · Physical Review A
 [1];  [2];  [2]
  1. Michigan State Univ., East Lansing, MI (United States); DOE/OSTI
  2. Michigan State Univ., East Lansing, MI (United States)
+ Show Author Affiliations
In multipole-bound anions, the excess electron is attached by a short-range multipole potential of a neutral molecule. Such anions are prototypical marginally bound open quantum systems. In particular, around the critical multipole moment required to attach the valence electron, multipole-bound anions exhibit critical behavior associated with a transition from bound states dominated by low-ℓ partial waves to the electron continuum. In this work, multipole-bound anions are described using a nonadiabatic electron-plus-rotor model. The electron-molecule pseudopotential is represented by a short-range multipole field with a Gaussian form factor. The resulting coupled-channel Schrödinger equation is solved by means of the Berggren expansion method, in which the electron's wave function is decomposed into bound states, narrow resonances, and the nonresonant scattering continuum. We show that the Gaussian model predicts the critical transition at the detachment threshold. Resonant states, including bound states, decaying resonances, subthreshold resonances, and antibound states are studied, and exceptional points where two resonant states coalesce are predicted. Furthermore, we discuss the transition of rotational band structures around the threshold and study the effects of channel coupling on the decay width of resonant poles.
Research Organization:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Grant/Contract Number:
SC0013365
OSTI ID:
1611978
Alternate ID(s):
OSTI ID: 1488680
Journal Information:
Physical Review A, Journal Name: Physical Review A Journal Issue: 6 Vol. 98; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (80)

Bound states of multipoles journal January 2003
Complex Scaling Method for Three- and Four-Body Scattering Above the Break-up Thresholds journal January 2013
Multipole-Bound Molecular Negative Ions journal May 2002
Electrons weakly bound to molecules by dipolar, quadrupolar or polarization forces journal January 1998
Critical binding of an electron to a non-stationary electric dipole journal May 1970
On the use of resonant states in eigenfunction expansions of scattering and reaction amplitudes journal February 1968
On the normalization of Gamow functions journal January 1971
Two-body halos journal October 1992
The definition of molecular resonance curves by the method of exterior complex scaling journal April 1979
Ab initio investigation on the valence and dipole-bound states of CNa− and SiNa− journal August 2000
Theoretical study of the quadrupole-bound anion (BeO)2− journal April 1999
Dipole-bound and dispersion-bound anions supported by the asymmetric tautomers of aminophosphine: H3NPH and HNPH3 journal June 2002
Neutral and negatively-charged formamide, N-methylformamide and dimethylformamide clusters journal December 1998
Effective field theory for dilute Fermi systems journal October 2000
Effective field theory for halo nuclei: shallow -wave states journal December 2002
Deformed nuclear halos journal February 1997
Rotational states of dipole-bound anions of hydrogen cyanide journal May 2009
Narrow resonances in effective field theory journal September 2003
A shell model representation with antibound states journal March 2004
Neutron- 19 C scattering: Emergence of universal properties in a finite range potential journal January 2017
Non-universal and universal aspects of the large scattering length limit journal February 2018
Universality in few-body systems with large scattering length journal June 2006
Photodetachment of electrons from dipolar anions journal June 1988
Excess Electrons Bound to Molecular Systems with a Vanishing Dipole but Large Molecular Quadrupole journal February 2014
Molecular Anions journal July 2008
Signatures of universal four-body phenomena and their relation to the Efimov effect journal April 2009
Electron binding energies of dipole-bound anions at the coupled cluster level with single, double, and triple excitations: HCN− and HNC− journal February 2002
Finite-size scaling for critical conditions for stable quadrupole-bound anions journal May 2004
Multipole-bound states of succinonitrile and other dicarbonitriles journal September 2004
Non-Born–Oppenheimer approximation for very weakly bound states of molecular anions journal December 2010
Universality and scaling limit of weakly-bound tetramers
  • Hadizadeh, M. R.; Yamashita, M. T.; Tomio, Lauro
  • IX LATIN AMERICAN SYMPOSIUM ON NUCLEAR PHYSICS AND APPLICATIONS, AIP Conference Proceedings https://doi.org/10.1063/1.3688794
conference January 2012
Correlation between molecular electron affinities and dipole moments. II journal April 1977
Permanent and induced dipole requirements in a b i n i t i o calculations of electron affinities of polar molecules journal July 1979
Excited states of polar negative ions journal October 1982
Dipole‐bound anionic state of nitromethane. A b i n i t i o coupled cluster study with first‐order correlation orbitals journal December 1989
Molecular rotation and the observation of dipole‐bound states of anions journal November 1993
Electron affinities of CO2, OCS, and CS2 journal April 1998
Electron and anion mobility in low density hydrogen cyanide gas. I. Dipole-bound electron ground states journal July 1998
Ab initio theoretical study of dipole–bound anions of molecular complexes: Water pentamer anions journal February 1999
Search for “quadrupole-bound” anions. I journal July 1999
Diffusion Monte Carlo simulations of the dipole-bound state of the water dimer anion journal December 1999
Interaction mechanisms and cross sections for the scattering of low-energy electrons from HBr journal May 1978
Analytic theory of resonances, virtual states and bound states ion electron-molecule scattering and related processes journal December 1981
Vibrational excitation in e-HCl collisions at low energies journal July 1975
Vibrational excitation of polar molecules by electron impact. I. Threshold resonance in HF and HCl journal October 1976
Subthreshold resonances in few-neutron systems journal November 1997
Shell model in the complex energy plane journal October 2008
Effective field theory description of halo nuclei journal September 2017
Universality in few-body Systems: from few-atoms to few-nucleons journal July 2014
Exceptional points in open quantum systems journal June 2008
The physics of exceptional points journal October 2012
The Capture of Negative Mesotrons in Matter journal September 1947
Dipole coupling channels for molecular anions journal May 1984
Vibrationally induced photodetachment of electrons from negative molecular ions journal October 1989
Determination of electron binding energies of ground-state dipole-bound molecular anions journal May 1995
Valence and excited states of LiH − journal March 1998
Bound states of dipolar molecules studied with the Berggren expansion method journal April 2013
Bound and resonance states of the dipolar anion of hydrogen cyanide: Competition between threshold effects and rotation in an open quantum system journal January 2015
Bound states, scattering states, and resonant states in PT -symmetric open quantum systems journal August 2015
Matching universal behavior with potential models journal June 2016
Resonant spectra of quadrupolar anions journal September 2016
Universality in fermionic dimer-dimer scattering journal August 2017
Resonant state expansion of the resolvent journal February 1993
Role of low- l component in deformed wave functions near the continuum threshold journal December 2005
Study of resonant structures in a deformed mean field by the contour deformation method in momentum space journal March 2006
Antibound states and halo formation in the Gamow shell model journal November 2006
Exceptional points in the scattering continuum journal September 2009
Bound, virtual, and resonance S -matrix poles from the Schrödinger equation journal May 2010
Charge radii and neutron correlations in helium halo nuclei journal November 2011
Nuclear rotation in the continuum journal January 2016
Subthreshold resonances and resonances in the R -matrix method for binary reactions and in the Trojan horse method journal August 2017
Scaling Properties of Universal Tetramers journal September 2011
Nuclear Physics Around the Unitarity Limit journal May 2017
Accurate Determination of the Ground-State Level of the He 2 Nucleus journal August 1980
Electronic Structure Critical Parameters From Finite-Size Scaling journal October 1997
Long-Range Electron Binding to Quadrupolar Molecules journal February 2004
Spectral singularities and zero energy bound states journal June 2011
Ground-State Dipole-Bound Anions journal May 1996
Efimov States in Nuclear and Particle Physics journal November 2010
T HEORY OF D IPOLE -B OUND A NIONS journal October 2003

Cited By (3)

Observation of the dipole- and quadrupole-bound anions of 1,4-dicyanocyclohexane journal January 2019
The ground state, quadrupole-bound anion of succinonitrile revisited journal September 2019
First Observation of Unbound O 11 , the Mirror of the Halo Nucleus Li 11 journal March 2019

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Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
Atomic spectra
Electronic structure of atoms & molecules
Optics
Physics