Bound and resonance states of the dipolar anion of hydrogen cyanide: Competition between threshold effects and rotation in an open quantum system
Abstract
In this paper, bound and resonance states of the dipole-bound anion of hydrogen cyanide HCN– are studied using a nonadiabatic pseudopotential method and the Berggren expansion technique involving bound states, decaying resonant states, and nonresonant scattering continuum. We devise an algorithm to identify the resonant states in the complex energy plane. To characterize spatial distributions of electronic wave functions, we introduce the body-fixed density and use it to assign families of resonant states into collective rotational bands. We find that the nonadiabatic coupling of electronic motion to molecular rotation results in a transition from the strong-coupling to weak-coupling regime. In the strong-coupling limit, the electron moving in a subthreshold, spatially extended halo state follows the rotational motion of the molecule. Above the ionization threshold, the electron's motion in a resonance state becomes largely decoupled from molecular rotation. Finally, the widths of resonance-band members depend primarily on the electron orbital angular momentum.
- Authors:
-
- Grand Accelerateur National d'Ions Lourds (Large Heavy Ion National Accelerator) (GANIL), Caen (France). National Center for Scientific Research (CNRS). Alternative Energies and Atomic Energy Commission (CEA)
- Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy. NSCL/FRIB Lab.; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division; Univ. of Warsaw (Poland). Inst. of Theoretical Physics
- Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Michigan State Univ., East Lansing, MI (United States). NSCL/FRIB Lab.
- Publication Date:
- Research Org.:
- Michigan State Univ., East Lansing, MI (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Grand Accelerateur National d'Ions Lourds (Large Heavy Ion National Accelerator) (GANIL), Caen (France)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); French-U.S. Theory Inst. for Physics with Exotic Nuclei (FUSTIPEN) (United States)
- Contributing Org.:
- Univ. of Warsaw (Poland); Univ. of Tennessee, Knoxville, TN (United States)
- OSTI Identifier:
- 1337827
- Alternate Identifier(s):
- OSTI ID: 1181360
- Grant/Contract Number:
- FG02-10ER41700; FG02-96ER40963; DEFG02-96ER40963
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A - Atomic, Molecular, and Optical Physics
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 1; Journal ID: ISSN 1050-2947
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Fossez, K., Michel, N., Nazarewicz, W., Płoszajczak, M., and Jaganathen, Y. Bound and resonance states of the dipolar anion of hydrogen cyanide: Competition between threshold effects and rotation in an open quantum system. United States: N. p., 2015.
Web. doi:10.1103/PhysRevA.91.012503.
Fossez, K., Michel, N., Nazarewicz, W., Płoszajczak, M., & Jaganathen, Y. Bound and resonance states of the dipolar anion of hydrogen cyanide: Competition between threshold effects and rotation in an open quantum system. United States. https://doi.org/10.1103/PhysRevA.91.012503
Fossez, K., Michel, N., Nazarewicz, W., Płoszajczak, M., and Jaganathen, Y. Mon .
"Bound and resonance states of the dipolar anion of hydrogen cyanide: Competition between threshold effects and rotation in an open quantum system". United States. https://doi.org/10.1103/PhysRevA.91.012503. https://www.osti.gov/servlets/purl/1337827.
@article{osti_1337827,
title = {Bound and resonance states of the dipolar anion of hydrogen cyanide: Competition between threshold effects and rotation in an open quantum system},
author = {Fossez, K. and Michel, N. and Nazarewicz, W. and Płoszajczak, M. and Jaganathen, Y.},
abstractNote = {In this paper, bound and resonance states of the dipole-bound anion of hydrogen cyanide HCN– are studied using a nonadiabatic pseudopotential method and the Berggren expansion technique involving bound states, decaying resonant states, and nonresonant scattering continuum. We devise an algorithm to identify the resonant states in the complex energy plane. To characterize spatial distributions of electronic wave functions, we introduce the body-fixed density and use it to assign families of resonant states into collective rotational bands. We find that the nonadiabatic coupling of electronic motion to molecular rotation results in a transition from the strong-coupling to weak-coupling regime. In the strong-coupling limit, the electron moving in a subthreshold, spatially extended halo state follows the rotational motion of the molecule. Above the ionization threshold, the electron's motion in a resonance state becomes largely decoupled from molecular rotation. Finally, the widths of resonance-band members depend primarily on the electron orbital angular momentum.},
doi = {10.1103/PhysRevA.91.012503},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 1,
volume = 91,
place = {United States},
year = {Mon Jan 12 00:00:00 EST 2015},
month = {Mon Jan 12 00:00:00 EST 2015}
}
Web of Science
Works referenced in this record:
Molecular Anions
journal, July 2008
- Simons, Jack
- The Journal of Physical Chemistry A, Vol. 112, Issue 29
Gamow shell model description of proton scattering on
journal, March 2014
- Jaganathen, Y.; Michel, N.; Płoszajczak, M.
- Physical Review C, Vol. 89, Issue 3
Effective field theory for halo nuclei: shallow -wave states
journal, December 2002
- Bertulani, C. A.; Hammer, H. -W.; van Kolck, U.
- Nuclear Physics A, Vol. 712, Issue 1-2
Critical binding of an electron to a non-stationary electric dipole
journal, May 1970
- Garrett, W. R.
- Chemical Physics Letters, Vol. 5, Issue 7
Fine Structure in the Decay of Deformed Proton Emitters: Nonadiabatic Approach
journal, May 2000
- Kruppa, A. T.; Barmore, B.; Nazarewicz, W.
- Physical Review Letters, Vol. 84, Issue 20
R-matrix theory of vibrational excitation of the HCl molecule by slow electrons in the adiabatic approximation
journal, May 1985
- Fabrikant, I. I.
- Journal of Physics B: Atomic and Molecular Physics, Vol. 18, Issue 9
On the use of resonant states in eigenfunction expansions of scattering and reaction amplitudes
journal, February 1968
- Berggren, Tore
- Nuclear Physics A, Vol. 109, Issue 2
Photodetachment of electrons from dipolar anions
journal, June 1988
- Clary, David C.
- The Journal of Physical Chemistry, Vol. 92, Issue 11
Time dependence, complex scaling, and the calculation of resonances in many-electron systems
journal, October 1978
- Nicolaides, Cleanthes A.; Beck, Donald R.
- International Journal of Quantum Chemistry, Vol. 14, Issue 4
Resonant state expansion of the resolvent
journal, February 1993
- Berggren, Tore; Lind, Patric
- Physical Review C, Vol. 47, Issue 2
Model-Independent Calculation of Radiative Neutron Capture on Lithium-7
journal, May 2011
- Rupak, Gautam; Higa, Renato
- Physical Review Letters, Vol. 106, Issue 22
Critical binding of electron–dipole rotor systems; electronically excited states
journal, December 1980
- Garrett, W. R.
- The Journal of Chemical Physics, Vol. 73, Issue 11
Critical Binding of an Electron to a Rotationally Excited Dipolar System
journal, March 1971
- Garrett, W. R.
- Physical Review A, Vol. 3, Issue 3
Theoretical resolution of the resonance spectrum up to the threshold. I. States of and symmetries
journal, April 2000
- Bylicki, Mirosław; Nicolaides, Cleanthes A.
- Physical Review A, Vol. 61, Issue 5
Electron and anion mobility in low density hydrogen cyanide gas. I. Dipole-bound electron ground states
journal, July 1998
- Klahn, Th.; Krebs, P.
- The Journal of Chemical Physics, Vol. 109, Issue 2
Valence and excited states of
journal, March 1998
- Gutsev, Gennady L.; Nooijen, Marcel; Bartlett, Rodney J.
- Physical Review A, Vol. 57, Issue 3
Long-Range Electron Binding to Quadrupolar Molecules
journal, February 2004
- Desfrançois, C.; Bouteiller, Y.; Schermann, J. P.
- Physical Review Letters, Vol. 92, Issue 8
On the normalization of Gamow functions
journal, January 1971
- Gyarmati, B.; Vertse, T.
- Nuclear Physics A, Vol. 160, Issue 3
Nucleon Resonances in Deformed Nuclei
journal, March 1997
- Ferreira, L. S.; Maglione, E.; Liotta, R. J.
- Physical Review Letters, Vol. 78, Issue 9
Collisions near threshold in atomic and molecular physics
journal, February 2000
- Sadeghpour, H. R.; Bohn, J. L.; Cavagnero, M. J.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 33, Issue 5
Electron binding energies of dipole-bound anions at the coupled cluster level with single, double, and triple excitations: HCN− and HNC−
journal, February 2002
- Peterson, Kirk A.; Gutowski, Maciej
- The Journal of Chemical Physics, Vol. 116, Issue 8
Angular momentum coupling in molecular Rydberg states
journal, January 1989
- Dagata, J. A.; Klasinc, L.; McGlynn, S. P.
- Pure and Applied Chemistry, Vol. 61, Issue 12
Rotational states of dipole-bound anions of hydrogen cyanide
journal, May 2009
- Ard, S.; Garrett, W. R.; Compton, R. N.
- Chemical Physics Letters, Vol. 473, Issue 4-6
Resonances in deformed nuclei: R-matrix theory and oscillator expansion
conference, January 2000
- Kruppa, A. T.
- International symposium on proton-emitting nuclei (PROCON99), AIP Conference Proceedings
Observation of Dipole-Bound States of Negative Ions
journal, June 1984
- Lykke, Keith R.; Mead, Roy D.; Lineberger, W. C.
- Physical Review Letters, Vol. 52, Issue 25
The Coupling of Angular Momentum Vectors in Molecules
journal, July 1951
- Van Vleck, J. H.
- Reviews of Modern Physics, Vol. 23, Issue 3
Coupled-channels treatment of deformed proton emitters
journal, December 2000
- Esbensen, Henning; Davids, Cary N.
- Physical Review C, Vol. 63, Issue 1
Non-Born–Oppenheimer approximation for very weakly bound states of molecular anions
journal, December 2010
- Garrett, W. R.
- The Journal of Chemical Physics, Vol. 133, Issue 22
Long-time deviations from exponential decay for inverse-square potentials
journal, April 2008
- Martorell, J.; Muga, J. G.; Sprung, D. W. L.
- Physical Review A, Vol. 77, Issue 4
Observation of an Efimov-like trimer resonance in ultracold atom–dimer scattering
journal, February 2009
- Knoop, S.; Ferlaino, F.; Mark, M.
- Nature Physics, Vol. 5, Issue 3
Excited states of polar negative ions
journal, October 1982
- Garrett, W. R.
- The Journal of Chemical Physics, Vol. 77, Issue 7
Autodetachment dynamics of acetaldehyde enolate anion, CH2CHO-
journal, October 1993
- Mullin, Amy S.; Murray, Kermit K.; Schulz, C. P.
- The Journal of Physical Chemistry, Vol. 97, Issue 40
Completeness relations and resonant state expansions
journal, May 1993
- Lind, Patric
- Physical Review C, Vol. 47, Issue 5
Effect of Long-Range Final-State Forces on the Negative-Ion Photodetachment Cross Section near Threshold
journal, March 1965
- O'Malley, Thomas F.
- Physical Review, Vol. 137, Issue 6A
Electron Capture by Polar Molecules
journal, January 1967
- Lévy-Leblond, Jean-Marc
- Physical Review, Vol. 153, Issue 1
Completeness relations, Mittag-Leffler expansions and the perturbation theory of resonant states
journal, November 1982
- Berggren, Tore
- Nuclear Physics A, Vol. 389, Issue 2
Electron Impact near the State of CO: Dipole-Dominated Resonances
journal, July 1974
- Wong, S. F.; Schulz, G. J.
- Physical Review Letters, Vol. 33, Issue 3
Anomalies in quantum mechanics: The 1/r2 potential
journal, May 2002
- Coon, Sidney A.; Holstein, Barry R.
- American Journal of Physics, Vol. 70, Issue 5
Weakly bound systems, continuum effects and reactions
journal, December 2012
- Jaganathen, Y.; Michel, N.; Płoszajczak, M.
- Journal of Physics: Conference Series, Vol. 403
Theoretical description of deformed proton emitters: Nonadiabatic coupled-channel method
journal, October 2000
- Barmore, B.; Kruppa, A. T.; Nazarewicz, W.
- Physical Review C, Vol. 62, Issue 5
Electrons weakly bound to molecules by dipolar, quadrupolar or polarization forces
journal, June 1998
- Abdoul-Carime, H.; Desfrançois, C.
- The European Physical Journal D, Vol. 2, Issue 2
Nilsson-orbit and weak-coupling model: non-axial deformation
conference, January 2003
- Kruppa, A. T.
- PROTON-EMITTING NUCLEI: Second International Symposium PROCON 2003, AIP Conference Proceedings
Eigenphase sum in electron scattering by polar molecules
journal, August 1984
- Clark, Charles W.
- Physical Review A, Vol. 30, Issue 2
Shell model in the complex energy plane
journal, October 2008
- Michel, N.; Nazarewicz, W.; Płoszajczak, M.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 36, Issue 1
Efimov States in Nuclear and Particle Physics
journal, November 2010
- Hammer, Hans-Werner; Platter, Lucas
- Annual Review of Nuclear and Particle Science, Vol. 60, Issue 1
Quantum halos
journal, March 2000
- Riisager, K.; Fedorov, D. V.; Jensen, A. S.
- Europhysics Letters (EPL), Vol. 49, Issue 5
Quantum Anomaly in Molecular Physics
journal, November 2001
- Camblong, Horacio E.; Epele, Luis N.; Fanchiotti, Huner
- Physical Review Letters, Vol. 87, Issue 22
Quantum theory of resonances: calculating energies, widths and cross-sections by complex scaling
journal, September 1998
- Moiseyev, N.
- Physics Reports, Vol. 302, Issue 5-6
Gamow Shell Model Description of Neutron-Rich Nuclei
journal, July 2002
- Michel, N.; Nazarewicz, W.; Płoszajczak, M.
- Physical Review Letters, Vol. 89, Issue 4
Correlation between molecular electron affinities and dipole moments. II
journal, April 1977
- Jordan, K. D.
- The Journal of Chemical Physics, Vol. 66, Issue 7
Theory of the resonances of the LoSurdo-Stark effect
journal, January 1992
- Nicolaides, Cleanthes A.; Themelis, Spyros I.
- Physical Review A, Vol. 45, Issue 1
High-lying doubly excited states of
journal, January 1992
- Ho, Y. K.
- Physical Review A, Vol. 45, Issue 1
Resonance effects in low energy electron scattering by HCl
journal, August 1990
- McCartney, M.; Burke, P. G.; Morgan, L. A.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 23, Issue 15
The definition of molecular resonance curves by the method of exterior complex scaling
journal, April 1979
- Simon, Barry
- Physics Letters A, Vol. 71, Issue 2-3
Decay rate of triaxially deformed proton emitters
journal, March 2004
- Davids, Cary N.; Esbensen, Henning
- Physical Review C, Vol. 69, Issue 3
Complex energy approaches for calculating isobaric analogue states
journal, October 2008
- Betan, R. Id; Kruppa, A. T.; Vertse, T.
- Physical Review C, Vol. 78, Issue 4
Analytic description of dipole-bound anion photodetachment
journal, November 2005
- Chernov, V. E.; Dolgikh, A. V.; Zon, B. A.
- Physical Review A, Vol. 72, Issue 5
Analytic properties of the S matrix for a simple model of fixed-nuclei electron-polar-molecule scattering
journal, January 1984
- Estrada, H.; Domcke, W.
- Journal of Physics B: Atomic and Molecular Physics, Vol. 17, Issue 2
Positron-Atom Complexes as Quantum Halo States
journal, January 2005
- Mitroy, J.
- Physical Review Letters, Vol. 94, Issue 3
Structure and reactions of quantum halos
journal, February 2004
- Jensen, A. S.; Riisager, K.; Fedorov, D. V.
- Reviews of Modern Physics, Vol. 76, Issue 1
Coupled-channel continuum eigenchannel basis
journal, March 2014
- Id Betan, R. M.
- Physics Letters B, Vol. 730
Permanent and induced dipole requirements in a b i n i t i o calculations of electron affinities of polar molecules
journal, July 1979
- Garrett, W. R.
- The Journal of Chemical Physics, Vol. 71, Issue 2
Scattering by a dipolar system: Divergence of cross sections at the critical moment for a point dipole rotor
journal, April 1981
- Garrett, W. R.
- Physical Review A, Vol. 23, Issue 4
Forty years of Efimov physics: How a bizarre prediction turned into a hot topic
journal, January 2010
- Ferlaino, Francesca; Grimm, Rudolf
- Physics, Vol. 3
Vibrationally induced photodetachment of electrons from negative molecular ions
journal, October 1989
- Clary, David C.
- Physical Review A, Vol. 40, Issue 8
Bound states of dipolar molecules studied with the Berggren expansion method
journal, April 2013
- Fossez, K.; Michel, N.; Nazarewicz, W.
- Physical Review A, Vol. 87, Issue 4
Narrow resonances in effective field theory
journal, September 2003
- Bedaque, P. F.; Hammer, H. -W.; van Kolck, U.
- Physics Letters B, Vol. 569, Issue 3-4
The method of complex coordinate rotation and its applications to atomic collision processes
journal, October 1983
- Ho, Y. K.
- Physics Reports, Vol. 99, Issue 1
Singular inverse square potential, limit cycles, and self-adjoint extensions
journal, April 2003
- Bawin, M.; Coon, S. A.
- Physical Review A, Vol. 67, Issue 4
Vibrational Feshbach resonances in uracil and thymine
journal, March 2006
- Burrow, P. D.; Gallup, G. A.; Scheer, A. M.
- The Journal of Chemical Physics, Vol. 124, Issue 12
Coupled cluster calculations with numerical orbitals for excited states of polar anions
journal, December 1985
- Adamowicz, Ludwik; Bartlett, Rodney J.
- The Journal of Chemical Physics, Vol. 83, Issue 12
Resonances and exterior complex scaling
journal, May 1990
- Nicolaides, C. A.; Gotsis, H. J.; Chrysos, M.
- Chemical Physics Letters, Vol. 168, Issue 6
Decay of high Rydberg states: A paradigm for intramolecular dynamics in a congested bound level structure coupled to a continuum
journal, January 1996
- Remacle, F.; Levine, R. D.
- The Journal of Chemical Physics, Vol. 104, Issue 4
Anions and Anomalies
journal, October 2007
- Bawin, M.; Coon, Sidney A.; Holstein, Barry R.
- International Journal of Modern Physics A, Vol. 22, Issue 27
Complex scaling: An introduction
journal, October 1978
- Bardsley, J. N.
- International Journal of Quantum Chemistry, Vol. 14, Issue 4
T HEORY OF D IPOLE -B OUND A NIONS
journal, October 2003
- Jordan, Kenneth D.; Wang, Feng
- Annual Review of Physical Chemistry, Vol. 54, Issue 1
Valence and excited dipole-bound states of polar diatomic anions: LiH−, LiF−, LiCl−, NaH−, NaF−, NaCl−, BeO−, and MgO−
journal, September 1997
- Gutsev, Gennady L.; Nooijen, Marcel; Bartlett, Rodney J.
- Chemical Physics Letters, Vol. 276, Issue 1-2
Nuclear three-body problem in the complex energy plane: Complex-scaling Slater method
journal, January 2014
- Kruppa, A. T.; Papadimitriou, G.; Nazarewicz, W.
- Physical Review C, Vol. 89, Issue 1
Molecular rotation and the observation of dipole‐bound states of anions
journal, November 1993
- Brinkman, Elizabeth A.; Berger, Susan; Marks, Jeffrey
- The Journal of Chemical Physics, Vol. 99, Issue 10
Gamow and -matrix approach to proton emitting nuclei
journal, May 2004
- Kruppa, A. T.; Nazarewicz, W.
- Physical Review C, Vol. 69, Issue 5
A dipole‐supported state in cyanomethyl anion, the conjugate base of acetonitrile. Rotational band assignments in the electron photodetachment spectrum of − CH 2 CN
journal, May 1986
- Marks, Jeffrey; Wetzel, Donna M.; Comita, Paul B.
- The Journal of Chemical Physics, Vol. 84, Issue 10
Precise comparison of the Gaussian expansion method and the Gamow shell model
journal, April 2014
- Masui, H.; Katō, K.; Michel, N.
- Physical Review C, Vol. 89, Issue 4
Critical binding of an electron by a nonstationary, point-dipole rotor
journal, October 1980
- Garrett, W. R.
- Physical Review A, Vol. 22, Issue 4
The Capture of Negative Mesotrons in Matter
journal, September 1947
- Fermi, E.; Teller, E.
- Physical Review, Vol. 72, Issue 5
Gamow shell model description of weakly bound nuclei and unbound nuclear states
journal, May 2003
- Michel, N.; Nazarewicz, W.; Płoszajczak, M.
- Physical Review C, Vol. 67, Issue 5
Theory and State-Specific Methods for the Analysis and Computation of Field-Free and Field-Induced Unstable States in Atoms and Molecules
book, January 2010
- Nicolaides, Cleanthes A.
- Unstable States in the Continuous Spectra, Part I: Analysis, Concepts, Methods, and Results
Ab initio electronic structure of HCN− and HNC− dipole-bound anions and a description of electron loss upon tautomerization
journal, May 2001
- Skurski, Piotr; Gutowski, Maciej; Simons, Jack
- The Journal of Chemical Physics, Vol. 114, Issue 17
The variational calculation of energies and widths of resonances
journal, February 1978
- Nicolaides, Cleanthes A.; Beck, Donald R.
- Physics Letters A, Vol. 65, Issue 1