Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical review. B, Condensed matter

Spin-polarized atomic hydrogen in very strong magnetic fields

Henk T. C. Stoof, L.P.H. de Goey, BOUDEWIJN J. VERHAAR, W. Glöckle

Published Dec 1, 1988• 6 citations
Publisher

Abstract

We calculate the effective rate constant for three-body dipolar recombination of spin-polarized atomic hydrogen in conditions of high density and very high magnetic field strengths (beyond the <10-T range of previous calculations). We find that the decay of the gas sample is not sufficiently suppressed at magnetic fields available in the forseeable future.

DOI
10.1103/physrevb.38.11221

Related papers

Spin-polarized atomic hydrogen in very strong magnetic fields

Hendricus Theodorus Christiaan Stoof, L. P. H. Degoey, BOUDEWIJN J. VERHAAR +1 more

We calculate the effective rate constant for three-body dipolar recombination of spin-polarized atomic hydrogen in conditions of high density and very high magnetic field strengths (beyond the <10-T range of previous calculations). We find that the decay of the gas sample is not sufficiently suppressed at magnetic fields available in the forseeable future.

•Jan 1, 1989•0 citations

Three-body recombination of spin-polarized atomic hydrogen in very strong magnetic fields

John D. Gillaspy, Isaac F. Silvera, J. S. Brooks

The study of spin-polarized atomic hydrogen in the three-dimensional gas phase has been extended into a new regime of magnetic field strength. Analysis of decay data for B=10--20 T reveal for the first time the characteristic peak in the three-body dipolar-decay rate constant as predicted by Kagan, Vartanyants, and Shlyapnikov (Zh. Eksp. Teor. Fiz. 81, 1113 (1981) [Sov. Phys.---JETP 54, 590 (1981)]). Beyond 17 T we observe a rapid falloff of the three-body-decay rate constant. We also determine a value for the three-body-exchange rate constant which is in accord with the calculation of Kagan et al. In contrast to the picture which was emerging from previous studies at more moderate fields, the data presented here suggest that existing theories are capable of describing the decay of the system in the very-high-field limit. The new picture which is emerging suggests that Bose-Einstein condensation may be achievable at somewhat higher fields which are currently available at high-magnetic-field facilities.

Physical review. B, Condensed matter•Jul 1, 1989•9 citations

Spin-polarized hydrogen in high magnetic fields

John D. Gillaspy, Isaac F. Silvera, J. S. Brooks

We have nearly tripled the range of magnetic-field strength over which bulk three-body recombination has been studied in spin-polarized atomic hydrogen. Analysis of our data (8-20 T) shows for the first time a qualitative agreement with theoretical predictions for the field dependence of dipolar recombination. Our results for the three-body exchange recombination are over an order of magnitude lower than a previously published value, and thus in reasonable agreement with theory. We discuss the prospects for observing Bose-Einstein condensation in very high magnetic fields.

Physical review. B, Condensed matter•Nov 1, 1988•6 citations

Surface Three-Body Recombination in Spin-Polarized Atomic Hydrogen

L.P.H. de Goey, Jan P. J. Driessen, BOUDEWIJN J. VERHAAR +1 more

We calculate the surface dipolar recombination rate ${L}_{s}$ for spin-polarized hydrogen adsorbed on $^{4}\mathrm{He}$ surfaces at temperatures in the 0.2- to 0.6-K regime and for magnetic fields up to 30 T. For a magnetic field of 7.6 T normal to the surface and 0.4 K we find ${L}_{s}=1.3(3)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}25}$ ${\mathrm{cm}}^{4}$ ${\mathrm{s}}^{\ensuremath{-}1}$ increasing by 10%/T in the range of experimental interest. The anisotropy with the direction of the magnetic field is considerably smaller than in the case of the surface dipolar relaxation.

Physical Review Letters•Nov 12, 1984•25 citations

Relaxation and recombination in spin-polarized atomic hydrogen

D. A. Bell, Harald F. Hess, Greg Kochanski +5 more

We have studied relaxation and recombination processes in compressed, doubly polarized atomic hydrogen at temperatures from 0.13 to 0.60 K and magnetic fields from 3 to 9 T. The gas and surface dipole three-body recombination rate constants at a field of 7.6 T are measured to be, respectively, ${L}_{g}$=8.9(8)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}39}$ ${\mathrm{cm}}^{6}$ ${\mathrm{s}}^{\mathrm{\ensuremath{-}}1}$ and ${L}_{s}$=1.2(4)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}24}$ ${\mathrm{cm}}^{4}$ ${\mathrm{s}}^{\mathrm{\ensuremath{-}}1}$. They decrease slowly with field and ${L}_{s}$ exhibits no significant angular dependence. The three-body recombination rate due to hyperfine mixing has also been measured. Electronic and nuclear relaxation rates have been measured; the b-c electronic relaxation rate constant in the gas is ${G}^{\mathrm{bc}}$=1.03(7)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}15}$ ${\mathrm{cm}}^{3}$ ${\mathrm{s}}^{\mathrm{\ensuremath{-}}1}$exp(-${E}_{\mathrm{bc}}$/${k}_{B}$T). The temperature and field dependence of the nuclear relaxation rate in the gas are observed to be in excellent agreement with recent theoretical calculations. Three-body surface recombination-rate measurements using $^{3}\mathrm{\ensuremath{-}}^{4}$He surfaces indicate that as little as one monolayer of $^{3}\mathrm{He}$ on the liquid $^{4}\mathrm{He}$ surface appreciably decreases the adsorption energy of atomic hydrogen. Densities achieved include 4.5\ifmmode\times\else\texttimes\fi{}${10}^{18}$ atoms${\mathrm{?}}^{\mathrm{\ensuremath{-}}3}$ at 0.55 K (pure $^{4}\mathrm{He}$ walls), and 1.4\ifmmode\times\else\texttimes\fi{}${10}^{18}$ atoms${\mathrm{?}}^{\mathrm{\ensuremath{-}}3}$ at 0.19 K (8 at. ? sup 3---He).

Physical review. B, Condensed matter•Dec 1, 1986•57 citations

Temperature and Magnetic Field Dependence of Three-Body Recombination in Spin-Polarized Hydrogen

Harald F. Hess, David A. Bell, Gregory P. Kochanski +2 more

The three-body recombination rate in spin-polarized hydrogen has been measured at temperatures from 0.25 to 0.60 K in magnetic fields from 5 to 9 T. In contrast to theoretical expectation, the three-body rate is a weakly decreasing function of field in this region. At 7.6 T the gas and surface three-body rate constants are ${L}_{g}=7.5(3)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}39}$ ${\mathrm{cm}}^{6}$ ${\mathrm{s}}^{\ensuremath{-}1}$ and ${L}_{s}=2.0(6)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}24}$ ${\mathrm{cm}}^{4}$ ${\mathrm{s}}^{\ensuremath{-}1}$. The large value of ${L}_{s}$ can account for effects previously attributed to an anomalously large surface two-body nuclear relaxation rate.

Physical Review Letters•Apr 23, 1984•59 citations
We calculate the effective rate constant for three-body dipolar recombination of spin-polarized atomic hydrogen in conditions of high density and very high magnetic field strengths (beyond the <10-T range of previous calculations). We find that the decay of the gas sample is not sufficiently suppressed at magnetic fields available in the forseeable future.
The study of spin-polarized atomic hydrogen in the three-dimensional gas phase has been extended into a new regime of magnetic field strength. Analysis of decay data for B=10--20 T reveal for the first time the characteristic peak in the three-body dipolar-decay rate constant as predicted by Kagan, Vartanyants, and Shlyapnikov (Zh. Eksp. Teor. Fiz. 81, 1113 (1981) [Sov. Phys.---JETP 54, 590 (1981)]). Beyond 17 T we observe a rapid falloff of the three-body-decay rate constant. We also determine a value for the three-body-exchange rate constant which is in accord with the calculation of Kagan et al. In contrast to the picture which was emerging from previous studies at more moderate fields, the data presented here suggest that existing theories are capable of describing the decay of the system in the very-high-field limit. The new picture which is emerging suggests that Bose-Einstein condensation may be achievable at somewhat higher fields which are currently available at high-magnetic-field facilities.
We have nearly tripled the range of magnetic-field strength over which bulk three-body recombination has been studied in spin-polarized atomic hydrogen. Analysis of our data (8-20 T) shows for the first time a qualitative agreement with theoretical predictions for the field dependence of dipolar recombination. Our results for the three-body exchange recombination are over an order of magnitude lower than a previously published value, and thus in reasonable agreement with theory. We discuss the prospects for observing Bose-Einstein condensation in very high magnetic fields.
We calculate the surface dipolar recombination rate Ls{L}_{s}Ls​ for spin-polarized hydrogen adsorbed on 4He^{4}\mathrm{He}4He surfaces at temperatures in the 0.2- to 0.6-K regime and for magnetic fields up to 30 T. For a magnetic field of 7.6 T normal to the surface and 0.4 K we find ${L}_{s}=1.3(3)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}25}$ cm4{\mathrm{cm}}^{4}cm4 ${\mathrm{s}}^{\ensuremath{-}1}$ increasing by 10%/T in the range of experimental interest. The anisotropy with the direction of the magnetic field is considerably smaller than in the case of the surface dipolar relaxation.
We have studied relaxation and recombination processes in compressed, doubly polarized atomic hydrogen at temperatures from 0.13 to 0.60 K and magnetic fields from 3 to 9 T. The gas and surface dipole three-body recombination rate constants at a field of 7.6 T are measured to be, respectively, Lg{L}_{g}Lg​=8.9(8)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}39}$ cm6{\mathrm{cm}}^{6}cm6 ${\mathrm{s}}^{\mathrm{\ensuremath{-}}1}$ and Ls{L}_{s}Ls​=1.2(4)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}24}$ cm4{\mathrm{cm}}^{4}cm4 ${\mathrm{s}}^{\mathrm{\ensuremath{-}}1}$. They decrease slowly with field and Ls{L}_{s}Ls​ exhibits no significant angular dependence. The three-body recombination rate due to hyperfine mixing has also been measured. Electronic and nuclear relaxation rates have been measured; the b-c electronic relaxation rate constant in the gas is Gbc{G}^{\mathrm{bc}}Gbc=1.03(7)\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}15}$ cm3{\mathrm{cm}}^{3}cm3 ${\mathrm{s}}^{\mathrm{\ensuremath{-}}1}$exp(-Ebc{E}_{\mathrm{bc}}Ebc​/kB{k}_{B}kB​T). The temperature and field dependence of the nuclear relaxation rate in the gas are observed to be in excellent agreement with recent theoretical calculations. Three-body surface recombination-rate measurements using $^{3}\mathrm{\ensuremath{-}}^{4}$He surfaces indicate that as little as one monolayer of 3He^{3}\mathrm{He}3He on the liquid 4He^{4}\mathrm{He}4He surface appreciably decreases the adsorption energy of atomic hydrogen. Densities achieved include 4.5\ifmmode\times\else\texttimes\fi{}1018{10}^{18}1018 atoms${\mathrm{?}}^{\mathrm{\ensuremath{-}}3}$ at 0.55 K (pure 4He^{4}\mathrm{He}4He walls), and 1.4\ifmmode\times\else\texttimes\fi{}1018{10}^{18}1018 atoms${\mathrm{?}}^{\mathrm{\ensuremath{-}}3}$ at 0.19 K (8 at. ? sup 3---He).
The three-body recombination rate in spin-polarized hydrogen has been measured at temperatures from 0.25 to 0.60 K in magnetic fields from 5 to 9 T. In contrast to theoretical expectation, the three-body rate is a weakly decreasing function of field in this region. At 7.6 T the gas and surface three-body rate constants are ${L}_{g}=7.5(3)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}39}$ cm6{\mathrm{cm}}^{6}cm6 ${\mathrm{s}}^{\ensuremath{-}1}$ and ${L}_{s}=2.0(6)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}24}$ cm4{\mathrm{cm}}^{4}cm4 ${\mathrm{s}}^{\ensuremath{-}1}$. The large value of Ls{L}_{s}Ls​ can account for effects previously attributed to an anomalously large surface two-body nuclear relaxation rate.