Dirac-Fock method for muonic atoms

Transition energies, wave functions, and charge densities

J. V. Mallow, J. P. Desclaux, Arthur J Freeman

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We have performed Dirac-Fock calculations for a variety of muonic atoms. The muon is explicitly included in the self-consistent field theory, and electron exchange is treated exactly. Wave functions and energies are obtained for a variety of sample systems ranging from light to heavy ions, using finite models of the nucleus. The problem of angular momentum coupling schemes for muonic atoms is discussed. Results presented include comparison of Dirac-Fock and Dirac-Slater models, the effect of the inclusion of the Breit operator and the Lamb shift as perturbations, contributions of electron screening and relaxation to muon transition energies, and the dependence of screening on muonic angular momentum.

Original languageEnglish
Pages (from-to)1804-1809
Number of pages6
JournalPhysical Review A
Volume17
Issue number6
DOIs
Publication statusPublished - 1978

Fingerprint

muons
screening
angular momentum
wave functions
self consistent fields
atoms
heavy ions
electrons
inclusions
operators
perturbation
nuclei
energy
shift

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Dirac-Fock method for muonic atoms : Transition energies, wave functions, and charge densities. / Mallow, J. V.; Desclaux, J. P.; Freeman, Arthur J.

In: Physical Review A, Vol. 17, No. 6, 1978, p. 1804-1809.

Research output: Contribution to journalArticle

@article{f8ec06277fda4031b57950331a6b9fb6,
title = "Dirac-Fock method for muonic atoms: Transition energies, wave functions, and charge densities",
abstract = "We have performed Dirac-Fock calculations for a variety of muonic atoms. The muon is explicitly included in the self-consistent field theory, and electron exchange is treated exactly. Wave functions and energies are obtained for a variety of sample systems ranging from light to heavy ions, using finite models of the nucleus. The problem of angular momentum coupling schemes for muonic atoms is discussed. Results presented include comparison of Dirac-Fock and Dirac-Slater models, the effect of the inclusion of the Breit operator and the Lamb shift as perturbations, contributions of electron screening and relaxation to muon transition energies, and the dependence of screening on muonic angular momentum.",
author = "Mallow, {J. V.} and Desclaux, {J. P.} and Freeman, {Arthur J}",
year = "1978",
doi = "10.1103/PhysRevA.17.1804",
language = "English",
volume = "17",
pages = "1804--1809",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "6",

}

TY - JOUR

T1 - Dirac-Fock method for muonic atoms

T2 - Transition energies, wave functions, and charge densities

AU - Mallow, J. V.

AU - Desclaux, J. P.

AU - Freeman, Arthur J

PY - 1978

Y1 - 1978

N2 - We have performed Dirac-Fock calculations for a variety of muonic atoms. The muon is explicitly included in the self-consistent field theory, and electron exchange is treated exactly. Wave functions and energies are obtained for a variety of sample systems ranging from light to heavy ions, using finite models of the nucleus. The problem of angular momentum coupling schemes for muonic atoms is discussed. Results presented include comparison of Dirac-Fock and Dirac-Slater models, the effect of the inclusion of the Breit operator and the Lamb shift as perturbations, contributions of electron screening and relaxation to muon transition energies, and the dependence of screening on muonic angular momentum.

AB - We have performed Dirac-Fock calculations for a variety of muonic atoms. The muon is explicitly included in the self-consistent field theory, and electron exchange is treated exactly. Wave functions and energies are obtained for a variety of sample systems ranging from light to heavy ions, using finite models of the nucleus. The problem of angular momentum coupling schemes for muonic atoms is discussed. Results presented include comparison of Dirac-Fock and Dirac-Slater models, the effect of the inclusion of the Breit operator and the Lamb shift as perturbations, contributions of electron screening and relaxation to muon transition energies, and the dependence of screening on muonic angular momentum.

UR - http://www.scopus.com/inward/record.url?scp=35949035853&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35949035853&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.17.1804

DO - 10.1103/PhysRevA.17.1804

M3 - Article

VL - 17

SP - 1804

EP - 1809

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 6

ER -