Correlated wave functions and hyperfine splittings of the 2 s state of muonic sup 3,4 He atoms

Journal Article · Sat Feb 01 04:00:00 EST 1992 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.45.1479· OSTI ID:7234424

Chen, M ^[1]

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1. Department of Physics, National Chung-Hsing University, Taichung, Taiwan 40227 (Taiwan, Province of China)

The correlated wave functions of the 2{ital s} state, (1{ital s}){sub {ital e}}(2{ital s}){sub {mu}} of muonic {sup 4}He and {sup 3}He atoms are calculated by the variational approach, employing an improved set of the Hylleraas-type basis functions to study the 2{ital s} state of muonic He atoms. The energy and radial expectation values are calculated. Our proposed wave functions for the muonic {sup 4}He and {sup 3}He atoms are good enough to describe the electron and muon at small, intermediate, and large values of radial coordinates. The hyperfine splittings of the (1{ital s}){sub {ital e}}(2{ital s}){sub {mu}} muonic {sup 4}He and {sup 3}He atoms are also presented. Including relativistic, QED, and other corrections up to {ital O}({alpha}{sup 2}), we arrive at the values {Delta}{nu}= 4287.01{plus minus}0.10 and 4052.64{plus minus}0.10 MHz for the total hyperfine splittings of the 2{ital s} state of muonic {sup 4}He and {sup 3}He atoms, respectively.

• OSTI ID: 7234424
• Journal Information: Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 45:3; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

664100 -- Theory of Electronic Structure of Atoms & Molecules-- (1992-)
664500* -- Special Atoms & Molecules-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
COORDINATES
CORRELATIONS
ELECTRODYNAMICS
ELECTRON CORRELATION
ENERGY LEVELS
ENERGY RANGE
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
EXCITED STATES
FIELD THEORIES
FUNCTIONS
HELIUM 3
HELIUM 4
HELIUM ISOTOPES
HYPERFINE STRUCTURE
ISOTOPES
LIGHT NUCLEI
MUONIC ATOMS
NUCLEI
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
STABLE ISOTOPES
VARIATIONAL METHODS
WAVE FUNCTIONS