skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Doubly excited {sup 1,3}P{sup o} resonance states of Ps{sup -} in weakly coupled plasmas

Abstract

The {sup 1,3}P{sup o} resonance states of positronium negative ions embedded in dense plasma environments are determined by calculating the density of resonance states using the stabilization method. A screened Coulomb potential obtained from the Debye model is used to represent the interaction between the charge particles, together with employing highly correlated wave functions to represent the correlation effect between them. We have calculated one {sup 1}P{sup o} and two {sup 3}P{sup o} resonances associated with and below the n=2 threshold of the positronium atom. The resonance energies and widths for various Debye lengths ranging from infinity to a small value are reported.

Authors:
;  [1]
  1. Institute of Atomic and Molecular Sciences, Academia Sinica, P.O. Box 23-166, Taipei, Taiwan 106 (China)
Publication Date:
OSTI Identifier:
20786897
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.73.032502; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ANIONS; ATOMS; CORRELATIONS; COULOMB FIELD; DEBYE LENGTH; ENERGY LEVELS; ENERGY-LEVEL DENSITY; ION COLLISIONS; PLASMA; POSITRONIUM; POTENTIAL ENERGY; RESONANCE; STABILIZATION; WAVE FUNCTIONS

Citation Formats

Kar, Sabyasachi, and Ho, Y. K.. Doubly excited {sup 1,3}P{sup o} resonance states of Ps{sup -} in weakly coupled plasmas. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Kar, Sabyasachi, & Ho, Y. K.. Doubly excited {sup 1,3}P{sup o} resonance states of Ps{sup -} in weakly coupled plasmas. United States. doi:10.1103/PHYSREVA.73.0.
Kar, Sabyasachi, and Ho, Y. K.. Wed . "Doubly excited {sup 1,3}P{sup o} resonance states of Ps{sup -} in weakly coupled plasmas". United States. doi:10.1103/PHYSREVA.73.0.
@article{osti_20786897,
title = {Doubly excited {sup 1,3}P{sup o} resonance states of Ps{sup -} in weakly coupled plasmas},
author = {Kar, Sabyasachi and Ho, Y. K.},
abstractNote = {The {sup 1,3}P{sup o} resonance states of positronium negative ions embedded in dense plasma environments are determined by calculating the density of resonance states using the stabilization method. A screened Coulomb potential obtained from the Debye model is used to represent the interaction between the charge particles, together with employing highly correlated wave functions to represent the correlation effect between them. We have calculated one {sup 1}P{sup o} and two {sup 3}P{sup o} resonances associated with and below the n=2 threshold of the positronium atom. The resonance energies and widths for various Debye lengths ranging from infinity to a small value are reported.},
doi = {10.1103/PHYSREVA.73.0},
journal = {Physical Review. A},
number = 3,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}
  • We have made an investigation on the 2s2p {sup 1,3}P{sup o} resonance states of helium embedded in dense plasma environments. A screened Coulomb potential obtained from the Debye model is used to represent the interaction between the charge particles. A correlated wave function consisting of a generalized exponential expansion has been used to represent the correlation effect. Resonance energies and widths for the doubly excited He embedded in plasmas with various Debye lengths are determined using the stabilization method by calculating the density of resonance states. The resonance energies and widths for various Debye parameters ranging from infinity to amore » small value for the lowest {sup 1,3}P{sup o} resonance states are reported.« less
  • We investigate the bound {sup 1,3}D states and the doubly-excited {sup 1,3}D{sup e} resonance states of two-electron positive ions Li{sup +} and Be{sup 2+} by employing correlated exponential wave functions. In the framework of the stabilization method, we are able to extract three series (2pnp, 2snd, 2pnf) of {sup 1}D{sup e} resonances and two series (2pnp, 2snd) of {sup 3}D{sup e} resonances below the N = 2 threshold. The {sup 1,3}D{sup e} resonance parameters (resonance energies and widths) for Li{sup +} and Be{sup 2+} along with the bound-excited 1s3d {sup 1,3}D state energies are reported for the first time as functions ofmore » the screening parameter. Accurate resonance energies and widths are also reported for Li{sup +} and Be{sup 2+} in vacuum. For free-atomic cases, comparisons are made with the reported results and few resonance states are reported for the first time.« less
  • We have investigated the doubly excited {sup 1,3}P{sup e} resonance states of helium and the hydrogen negative ion interacting with Coulomb and screened Coulomb potentials using exponential correlated wave functions. In the pure Coulomb case, calculations have been carried out by using the complex-coordinate rotation and the stabilization method. The {sup 1}P{sup e} resonance states of He below the N= 3, 4, and 5 thresholds of He{sup +}, and the {sup 3}P{sup e} resonance states of He below the N= 3 thresholds of He{sup +}, are reported. The 5p{sup 2} {sup 3}P{sup e} state, which has attracted recent interest, ismore » also reported and discussed. In the screened Coulomb case, we have used the stabilization method to obtain two different series (3pnp and 3dnd) of resonance states below the N= 3 He{sup +} threshold as a function of the screening parameters. Resonance widths for the 3dnd series show some interesting behaviors. The resonance parameters (position and width) for helium and the hydrogen negation ion as functions of the screening parameters are reported.« less
  • Doubly excited [sup 1,3][ital D[ital e]] resonant states in positronium ions Ps[sup [minus]] are calculated by using a method of complex-coordinate rotation. Resonance parameters (both resonance positions and widths) for doubly excited states associated with the [ital n]=2 and 3 thresholds of positronium atoms are evaluated using elaborate Hylleraas-type functions. In addition to Feshbach-type resonances lying below the Ps thresholds, we have also identified two [sup 1][ital D[ital e]] shape resonances lying above the [ital n]=3 Ps threshold.
  • We investigate the doubly excited {sup 3}P{sup e} resonance states of two-electron positive ions Li{sup +}, Be{sup 2+}, B{sup 3+}, and C{sup 4+} by employing correlated exponential wave functions. In the framework of the stabilization method, we calculate two series (3pnp and 3dnd) of {sup 3}P{sup e} resonances below the N = 3 threshold. The {sup 3}P{sup e} resonance parameters (resonance energies and widths) are reported for the first time as a function of the screening parameter. For free-atomic cases, comparisons are made with the reported results and few resonance states are reported for the first time.