The Calculation of the Fine and the Hyperfine Intervals of 21P and 23P States of3He

Hijikata, Katsunori; Ohtsuki, Kazuhiro

doi:10.1143/jpsj.57.4141

Cited by 7 publications

(7 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The hyperfine mixing of the 2 3 P and singlet 2 1 P states is the only one considered in this effective Hamiltonian, and its parameters have been experimentally determined [34]. A theoretical calculation of the 3 He 2 3 P structure with an accuracy of order 1 MHz later confirmed the validity of this phenomenological approach [37]. In the present article, we propose a further simplification of the effective Hamiltonian introduced by the Yale group, in which couplings to the singlet states are not explicitly considered.…”

Section: Theoreticalmentioning

confidence: 77%

“…Actual computation time is insignificant (e.g. 20 ms per value of B on a PC using a compiled Fortran program [42]), so that we chose not to use the matrix symmetries to reduce the matrix sizes and the computational load, in contrast with references [36,37]. We thus directly obtain all transitions of the 1083 nm line: 19 transitions for 4 He (6 for σ + and for σ − , 7 for π light polarisation), and 70 transitions for 3 He (22 for σ + and for σ − , 26 for π light polarisation).…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The correction term only exists for the 2P state [36,37]. When restricted to the triplet levels, it only depends on 2 parameters which are given with the matrix elements in table 11 in the Appendix.…”

Section: Thementioning

confidence: 99%

“…Values of the energies for 4 He and 3 He are given with reference to that of the 2 3 P2 level of each isotope. We use the most recent and accurate values whenever possible, and mass effects are evaluated as corrections [36,37]. E1 and E ′ 1 are almost exactly 1 MHz larger, and EM 1000 times larger, than the values of reference [36], probably due to misprints in the article.…”

Section: Appendix: Tables and Matricesmentioning

confidence: 99%

See 3 more Smart Citations

Magnetic field effects on the 1 083 nm atomic line of helium

Courtade¹,

Marion²,

Nacher³

et al. 2002

The European Physical Journal D - Atomic, Molecular and Optical

View full text Add to dashboard Cite

Abstract. The structure of the excited 2 3 S and 2 3 P triplet states of 3 He and 4 He in an applied magnetic field B is studied using different approximations of the atomic Hamiltonian. All optical transitions (line positions and intensities) of the 1083 nm 2 3 S-2 3 P transition are computed as a function of B. The effect of metastability exchange collisions between atoms in the ground state and in the 2 3 S metastable state is studied, and rate equations are derived, for the populations these states in the general case of an isotopic mixture in an arbitrary field B. It is shown that the usual spin-temperature description remains valid. A simple optical pumping model based on these rate equations is used to study the B-dependence of the population couplings which result from the exchange collisions. Simple spectroscopy measurements are performed using a single-frequency laser diode on the 1083 nm transition. The accuracy of frequency scans and of measurements of transition intensities is studied. Systematic experimental verifications are made for B=0 to 1.5 T. Optical pumping effects resulting from hyperfine decoupling in high field are observed to be in good agreement with the predictions of the simple model. Based on adequately chosen absorption measurements at 1083 nm, a general optical method to measure the nuclear polarisation of the atoms in the ground state in an arbitrary field is described. It is demonstrated at B ∼0

show abstract

Section: Theoreticalmentioning

confidence: 77%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Thementioning

confidence: 99%

Section: Appendix: Tables and Matricesmentioning

confidence: 99%

See 2 more Smart Citations

Magnetic field effects on the 1 083 nm atomic line of helium

Courtade¹,

Marion²,

Nacher³

et al. 2002

The European Physical Journal D - Atomic, Molecular and Optical

View full text Add to dashboard Cite

show abstract

“…[4]. From such input we compute the effective four-fermion interaction potential V of the BCS approach solely based on the results already obtained for the aHe [5].…”

Section: Quantum-electrodynamical Coherence and Superfluidity In 3hementioning

confidence: 99%

Quantum-electrodynamical coherence and superfluidity in3He

et al. 1993

View full text Add to dashboard Cite

Summary. --We explore the possibility that the superfluid 3He transition is related to the quantum-electrodynamical coherent interaction, occurring in the system at low temperatures and producing coherent oscillation in phase with particular classical modes of the electromagnetic field. We give a microscopic explanation for the BCS pairing potential and calculate the phase diagram for 3He finding a transition to A-and B-phases with the correct temperatures.PACS 67.50.Fi -Superfluid phase. PACS 03.70 -Theory of quantized fields.

show abstract

Computational Derivation of the Properties of Few-Electron Atomic Systems

Hijikata

1991

Supercomputing

View full text Add to dashboard Cite

The Calculation of the Fine and the Hyperfine Intervals of 2¹P and 2³P States of³He

Cited by 7 publications

References 10 publications

Magnetic field effects on the 1 083 nm atomic line of helium

Magnetic field effects on the 1 083 nm atomic line of helium

Quantum-electrodynamical coherence and superfluidity in3He

Computational Derivation of the Properties of Few-Electron Atomic Systems

Contact Info

Product

Resources

About