Theoretical hyperfine structure of the muonic sup 4 He atom

Journal Article · Wed Nov 15 04:00:00 EST 1989 · Physical Review (Section) A: General Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevA.40.5520· OSTI ID:5245265

Chen, M ^[1]; Hsue, C ^[2]

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1. Department of Physics, National Chung Hsing University, Taichung, Taiwan 40227, Republic of China (Taiwan)
2. Department of Physics, National Tsing Hua University, Hsinchu, Taiwan 30043, Republic of China (Taiwan)

We calculate the hyperfine structure of the ground state of the muonic {sup 4}He atom by the variational approach, employing an improved set of the Hylleraas-type basis functions to deal with the nonrelativistic three-body wave functions of the muon, the electron, and the {sup 4}He nucleus. The convergence of the series is very fast, thus eliminating the problem with the propagation of the truncation errors of the computer machine. Using the recoil correction, {delta}{sub rec} ={Delta}{nu}{sub {ital F}}(3{alpha}/{pi})(m{sub e}/m{sub {mu}}) ln({ital m}{sub {mu}}/m{sub e}), we arrived at the value {Delta}{nu}=4464.87{plus minus}0.05 MHz for the total hyperfine-structure splitting of the ground state of the muonic {sup 4}He atom including relativistic and other radiative corrections. But if we follow the treatment of Borie (Z. Phys. A 291, 107 (1979)) for the recoil corrections by treating the ({mu}-{sup 4}He){sup +} system as a pseudonucleus, we will arrive instead at the value {Delta}{nu}=4464.00{plus minus}0.05 MHz. The former seems to be in better agreement with the experimental result of 4465.004{plus minus}0.029 MHz.

• OSTI ID: 5245265
• Journal Information: Physical Review (Section) A: General Physics; (USA), Journal Name: Physical Review (Section) A: General Physics; (USA) Vol. 40:10; ISSN PLRAA; ISSN 0556-2791
• Country of Publication: United States
• Language: English

Related Subjects

640302* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
640303 -- Atomic
Molecular & Chemical Physics-- Positronium
Muonium
& Muonic & Mesic Atoms & Molecules
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
CORRECTIONS
ELEMENTS
ENERGY LEVELS
FLUIDS
GASES
GROUND STATES
HELIUM
HYPERFINE STRUCTURE
MANY-BODY PROBLEM
MUONIC ATOMS
NONMETALS
RARE GASES
THREE-BODY PROBLEM
VARIATIONAL METHODS