Abstract
This chapter briefly reviews the measurements of magnetic moments that have been performed by application of the continuous Stern-Gerlach effect to a single particle confined in a Penning trap with a magnetic bottle.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
R. Bluhm, V.A. Kostelecky, N. Russell, Testing CPT with anomalous magnetic moments. Phys. Rev. Lett. 79, 1432 (1997)
R. Bluhm, V.A. Kostelecky, N. Russell, CPT and Lorentz tests in Penning traps. Phys. Rev. D 57, 3922 (1998)
S. Sturm et al., Experiments for high-precision measurements of the bound electron’s magnetic moment. Atoms 5, 4 (2017)
M. Vogel, W. Quint, (eds.), Fundamental Physics in Particle Traps, Springer Tracts in Modern Physics, vol. 256. Springer (2014)
A. Landé, Termstruktur und Zeemaneffekt der Multipletts. Zeitschrift für Physik 15, 189 (1923)
M. Vogel, The anomalous magnetic moment of the electron. Contemp. Phys. 50, 437 (2009)
P.A.M. Dirac, The quantum theory of the electron, in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 117, p. 610 (1928)
P. Kusch, H.M. Foley, Precision measurement of the ratio of the atomic g values in the \(^2P_{3/2}\) and \(^2P_{1/2}\) states of gallium. Phys. Rev. 72, 1256 (1947)
P. Kusch, H.M. Foley, On the intrinsic moment of the electron. Phys. Rev. 74, 250 (1948)
J. Schwinger, On quantum-electrodynamics and the magnetic moment of the electron. Phys. Rev. 73, 416 (1948)
H. Dehmelt, P. Ekstrom, Proposed \(g-2\) experiment on stored single electron or positron. Bull. Am. Phys. Soc. 18, 727 (1973)
H. Dehmelt, Continuous stern gerlach effect: principle and idealized apparatus. Proc. Natl. Acad. Sci. USA 83, 2291 (1986) and 83, 3074 (1986)
R.S. van Dyck, P.B. Schwinberg, H.G. Dehmelt, New high-precision comparison of electron and positron g factors. Phys. Rev. Lett. 59, 26 (1987)
G. Gabrielse, D. Hanneke, T. Kinoshita, M. Nio, B. Odom, New determination of the fine structure constant from the electron g value and QED. Phys. Rev. Lett. 97, 030802 (2006); Erratum ibidem 99, 039902 (2007)
D. Hanneke, S. Fogwell, G. Gabrielse, New measurement of the electron magnetic moment and the fine structure constant. Phys. Rev. Lett. 100, 120801 (2008)
R. Bouchendira et al., New determination of the fine structure constant and test of the quantum electrodynamics. Phys. Rev. Lett. 106, 080801 (2011)
X. Fan, T.G. Myers, B.A.D. Sukra, G. Gabrielse, Measurement of the electron magnetic moment. Phys. Rev. Lett. 130, 071801 (2023)
P.F. Winkler, D. Kleppner, T. Myint, F.G. Walther, Magnetic moment of the proton in Bohr magnetons. Phys. Rev. A 5, 83 (1972)
X. Kreissl et al., Remeasurement of the magnetic moment of the antiproton. Z. Phys. C 37, 557 (1988)
W. Quint, G. Gabrielse, The magnetic moment of the antiproton. Hyp. Int. 76, 379 (1993)
W. Quint et al., Continuous Stern-Gerlach effect and the magnetic moment of the antiproton. Nucl. Inst. Meth. B 214, 207 (2004)
C.C. Rodegheri et al., An experiment for the direct determination of the g-factor of a single proton in a Penning trap. New J. Phys. 14, 063011 (2012)
N. Guise, J. DiSciacca, G. Gabrielse, Self-excitation and feedback cooling of an isolated proton. Phys. Rev. Lett. 104, 143001 (2010)
A. Mooser et al., Direct high-precision measurement of the magnetic moment of the proton. Nature 509, 596 (2014)
G. Schneider et al., Double-trap measurement of the proton magnetic moment at 0.3 parts per billion precision. Science 358, 1081 (2017)
J. DiSciacca, M. Marshall, K. Marable, G. Gabrielse, One-particle measurement of the antiproton magnetic moment. Phys. Rev. Lett. 110, 130801 (2013)
C. Smorra et al., A parts-per-billion measurement of the antiproton magnetic moment. Nature 550, 371 (2017)
M.J. Borchert et al., A 16-parts-per-trillion measurement of the antiproton to proton charge mass ratio. Nature 601, 53 (2022)
O. Stern, W. Gerlach, Das magnetische Moment des Silberatoms [The magnetic moment of the silver atom]. Z. Phys. 9, 349 (1922) and Z. Phys. 9, 353 (1922)
W. Gerlach, O. Stern, Über die Richtungsquantelung im Magnetfeld. Ann. Phys. 379, 673 (1924)
L. Brillouin, Is it possible to test by a direct experiment the hypothesis of the spinning electron? Proc. Natl. Acad. Sci. USA 14, 755 (1928)
N. Bohr, in Collected Works of Niels Bohr, ed. by J. Kalckar, vol. 6 (North-Holland, Amsterdam, 1996)
W. Pauli, in Handbuch der Physik, Band 5: Prinzipien der Quantentheorien, ed. by S. Flügge (Springer, Berlin, 1958), p. 167
F. Bloch, Experiments on the \(g\)-factor of the electron. Physica 19, 821 (1953)
H. Batelaan, T.J. Gay, J.J. Schwendiman, Stern-Gerlach effect for electron beams. Phys. Rev. Lett. 79, 4517 (1997)
B.M. Garraway, S. Stenholm, Observing the spin of a free electron. Phys. Rev. A 60, 63 (1999)
G.A. Gallup, H. Batelaan, T.J. Gay, Quantum-mechanical analysis of a longitudinal Stern-Gerlach effect. Phys. Rev. Lett. 86, 4508 (2001)
B.M. Garraway, S. Stenholm, Does a flying electron spin? Contemp. Phys. 43, 147 (2002)
J. Byrne, Study of a proposal for determining the \(g\)-factor anomaly for electrons by resonance excitation in a magnetic field. Can. J. Phys. 41, 1571 (1963)
H.G. Dehmelt, New continuous Stern-Gerlach effect and a hint of “the” elementary particle. Z. Phys. D 10, 127 (1988)
A. Mooser et al., Resolution of single spin flips of a single proton. Phys. Rev. Lett. 110, 140405 (2013)
N. Hermanspahn et al., Observation of the continuous Stern-Gerlach effect on an electron bound in an atomic ion. Phys. Rev. Lett. 84, 427 (2000)
P.J. Mohr, D.B. Newell, B.N. Taylor, CODATA recommended values of the fundamental physical constants: 2014. Rev. Mod. Phys. 88, 035009 (2016)
T. Aoyama, M. Hayakawa, T. Kinoshita, M. Nio, Tenth-order electron anomalous magnetic moment: contribution of diagrams without closed lepton loops. Phys. Rev. D 91, 033006 (2015)
S. Laporta, High-precision calculation of the 4-loop contribution to the electron g-2 in QED. Phys. Lett. B 772, 232 (2017)
S. Volkov, New method of computing the contributions of graphs without lepton loops to the electron anomalous magnetic moment in QED. Phys. Rev. D 96, 096018 (2017)
T. Beier, The \(g_j\)-factor of a bound electron and the hyperfine structure splitting in hydrogenlike ions. Phys. Rep. 339, 79 (2000)
A.V. Volotka, D.A. Glazov, G. Plunien, V.M. Shabaev, Progress in quantum electrodynamics theory of highly charged ions. Ann. Phys. 525, 636 (2013)
G. Breit, The magnetic moment of the electron. Nature 122, 649 (1928)
V.M. Shabaev, V.A. Yerokhin, Recoil correction to the bound-electron \(g\)-factor in H-like atoms to all orders in \(\alpha Z\). Phys. Rev. Lett. 88, 091801 (2002)
M. Vogel, W. Quint, Aspects of fundamental physics in precision spectroscopy of highly charged ions in penning traps. Ann. Phys. 525, 505 (2013)
S. Sturm et al., g-factor measurement of hydrogen-like \(^{28}\)Si\(^{13+}\) as a challenge to QED calculations. Phys. Rev. A 87, 030501(R) (2013)
V.M. Shabaev, D.A. Glazov, N.S. Oreshkina, A.V. Volotka, G. Plunien, H.J. Kluge, W. Quint, \(g\)-factor of heavy ions: a new access to the fine structure constant. Phys. Rev. Lett. 96, 253002 (2006)
S. Sturm et al., High-precision measurement of the atomic mass of the electron. Nature 506, 467 (2014)
F. Köhler et al., The electron mass from g-factor measurements on hydrogen-like carbon \(^{12}\)C\(^{5+}\). J. Phys. B. 48 (2015)
J.S. Tiedeman, H.G. Robinson, Determination of \(g_J(^1\)H\(,1^2S_{1/2)}/g_s(e)\): test of mass-independent corrections. Phys. Rev. Lett. 39, 602 (1977)
A. Schneider et al., Direct measurement of the 3He+ magnetic moments. Nature 606, 878 (2022)
C.E. Johnson, H.G. Robinson, \(g_J\) factor of an ion: determination of \(g_J (^4\)He\(^+,1^2S_{1/2)} / g_J(^4\)He\(,2^3S_1)\). Phys. Rev. Lett. 45, 250 (1980)
H. Häffner et al., High-accuracy measurement of the magnetic moment anomaly of the electron bound in hydrogen-like carbon. Phys. Rev. Lett. 85, 5308 (2000)
H. Häffner et al., Double Penning trap technique for precise \(g\) factor determinations in highly charged ions. Eur. Phys. J. D 22, 163 (2003)
J. Verdú et al., Electronic \(g\) factor of hydrogen-like oxygen \(^{16}\)O\(^{7+}\). Phys. Rev. Lett. 92, 093002 (2004)
J. Verdú et al., Determination of the \(g\)-factor of single hydrogen-like ions by mode coupling in a Penning trap. Phys. Scripta T112, 68 (2004)
F. Heisse et al., High-precision determination of g factors and masses of \(^{20}\)Ne\(^{9+}\) and \(^{22}\)Ne\(^{9+}\). Phys. Rev. Lett. 131, 253002 (2023)
S. Sturm et al., g factor of hydrogen-like \(^{28}\)Si\(^{13+}\). Phys. Rev. Lett. 107, 023002 (2011)
B. Schabinger et al., Experimental g factor of hydrogenlike silicon-28. Eur. Phys. J. D 66, 71 (2012)
A. Wagner et al., g factor of lithium-like silicon \(^{28}\)Si\(^{11+}\). Phys. Rev. Lett. 110, 033003 (2013)
D.A. Glazov et al., g factor of lithiumlike silicon: new challenge to bound-state QED. Phys. Rev. Lett. 123, 173001 (2019)
F. Köhler et al., Isotope dependence of the Zeeman effect in lithium-like calcium. Nat. Comm. 7, 10246 (2016)
J. Morgner et al., Stringent test of QED with hydrogen-like tin. Nature 622, 53 (2023)
V.M. Shabaev, Transition probability between the hyperfine structure components of hydrogenlike ions and bound-electron \(g\)-factor. Can. J. Phys. 76, 907 (1998)
G.W.F. Drake (ed.), Handbook of Atomic. Molecular and Optical Physics (Springer, Heidelberg, 2006)
T. Sailer, V. Debierre, Z. Harman et al., Measurement of the bound-electron g-factor difference in coupled ions. Nature 606, 479 (2022)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Vogel, M. (2024). Application of the Continuous Stern Gerlach Effect: Magnetic Moments. In: Particle Confinement in Penning Traps. Springer Series on Atomic, Optical, and Plasma Physics, vol 126. Springer, Cham. https://doi.org/10.1007/978-3-031-55420-9_24
Download citation
DOI: https://doi.org/10.1007/978-3-031-55420-9_24
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-55419-3
Online ISBN: 978-3-031-55420-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)