Abstract
The present knowledge of Lamb shift, fine-, and hyperfine structure of the 2S and 2P states in muonic helium-3 ions is reviewed in anticipation of the results of a first measurement of several 2S → 2P transition frequencies in the muonic helium-3 ion, μ3He+. This ion is the bound state of a single negative muon μ- and a bare helium-3 nucleus (helion), 3He++. A term-by-term comparison of all available sources, including new, updated, and so far unpublished calculations, reveals reliable values and uncertainties of the QED and nuclear structure-dependent contributions to the Lamb shift and the hyperfine splitting. These values are essential for the determination of the helion rms charge radius and the nuclear structure effects to the hyperfine splitting in μ3He+. With this review we continue our series of theory summaries in light muonic atoms [see A. Antognini et al., Ann. Phys. 331, 127 (2013); J.J. Krauth et al., Ann. Phys. 366, 168 (2016); and M. Diepold et al. arXiv:1606.05231 (2016)].
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References
R. Pohl, A. Antognini, F. Nez et al., Nature 466, 213 (2010)
A. Antognini, F. Nez, K. Schuhmann et al., Science 339, 417 (2013)
A. Antognini, F. Kottmann, F. Biraben et al., Ann. Phys. 331, 127 (2013)
R. Pohl, F. Nez, L.M.P. Fernandes et al., Science 353, 669 (2016)
J.J. Krauth, M. Diepold, B. Franke et al., Ann. Phys. 366, 168 (2016)
P.J. Mohr, D.B. Newell, B.N Taylor, Rev. Mod. Phys. 88, 035009 (2016)
R. Pohl, R. Gilman, G.A. Miller et al., Ann. Rev. Nucl. Part. Sci. 63, 175 (2013)
C.E. Carlson, Prog. Part. Nucl. Phys. 82, 59 (2015)
R.J. Hill, EPJ Web Conf. 137, 01023 (2017)
C.G. Parthey, A. Matveev, J. Alnis et al., Phys. Rev. Lett. 104, 233001 (2010)
U.D. Jentschura, A. Matveev, C.G. Parthey et al., Phys. Rev. A 83, 042505 (2011)
A. Antognini, F. Nez, F.D. Amaro et al., Can. J. Phys. 89, 47 (2010)
R. Machleidt, D. Entem, Phys. Rep. 503, 1 (2011)
N. Nevo Dinur, C. Ji, S. Bacca et al., Phys. Lett. B 755, 380 (2016)
A. Antognini, K. Schuhmann, F.D. Amaro et al., EPJ Web Conf. 113, 01006 (2016)
G.A. Miller, Phys. Lett. B 718, 1078 (2013)
U.D. Jentschura, Phys. Rev. A 92, 012123 (2015)
D. Tucker-Smith, I. Yavin, Phys. Rev. D 83, 101702 (2011)
B. Batell, D. McKeen, M. Pospelov, Phys. Rev. Lett. 107, 011803 (2011)
S.G. Karshenboim, D. McKeen, M. Pospelov, Phys. Rev. D 90, 073004 (2014)
C.E. Carlson, M. Freid, Phys. Rev. D 92, 095024 (2015)
D. Shiner, R. Dixson, V. Vedantham, Phys. Rev. Lett. 74, 3553 (1995)
R. van Rooij, J.S. Borbely, J. Simonet et al., Science 333, 196 (2011)
P. Cancio Pastor, L. Consolino, G. Giusfredi et al., Phys. Rev. Lett. 108, 143001 (2012)
V. Patkóš, V.A. Yerokhin, K. Pachucki, Phys. Rev. A 94, 052508 (2016)
V. Patkóš, V.A. Yerokhin, K. Pachucki, Phys. Rev. A 95, 012508 (2017)
M. Diepold, J.J. Krauth, B. Franke et al. [arXiv:1606.05231] (2016)
A.C. Vutha, N. Bezginov, I. Ferchichi et al., Bull. Am. Phys. Soc. 57, 138 (2012)
A. Beyer, J. Alnis, K. Khabarova et al., Ann. D: Phys. (Berlin) 525, 671 (2013)
E. Peters, D.C. Yost, A. Matveev et al., Ann. D: Phys. (Berlin) 525, L29 (2013)
M. Herrmann, M. Haas, U. Jentschura et al., Phys. Rev. A 79, 052505 (2009)
D.Z. Kandula, C. Gohle, T.J. Pinkert et al., Phys. Rev. Lett. 105, 063001 (2010)
M. Mihovilovic, H. Merkel, AIP Conf. Proc. 1563, 187 (2013)
A. Gasparian, EPJ Web Conf. 73, 07006 (2014)
R. Gilman, AIP Conf. Proc. 1563, 167 (2013)
I. Sick, Phys. Rev. C 90, 064002 (2014)
I. Angeli, K. Marinova, At. Data Nucl. Data Tables 99, 69 (2013)
G. Carboni, G. Gorini, E. Iacopini et al., Phys. Lett. B 73, 229 (1978)
P. Hauser, H.P. von Arb, A. Biancchetti et al., Phys. Rev. A 46, 2363 (1992)
O.J. Hernandez, N. Nevo Dinur, C. Ji et al., Hyp. Interact. 237, 158 (2016)
C.E. Carlson, M. Gorchtein, M. Vanderhaeghen, Phys. Rev. A 95, 012506 (2017)
S.J. Brodsky, R.G. Parsons, Phys. Rev. 163, 134 (1967)
E. Borie, Ann. Phys. 327, 733 (2012)
E. Borie, Lamb shift in light muonic atoms – revisited, arXiv:1103.1772-v7 [physic.atom-ph] (2014)
A. Krutov, A. Martynenko, G. Martynenko et al., J. Exp. Theor. Phys. 120, 73 (2015)
A.P. Martynenko, E.N. Elekina, Phys. At. Nucl. 73, 2074 (2010)
A.P. Martynenko, J. Exp. Theor. Phys. 106, 690 (2008)
R. Faustov, A. Martynenko, G. Martynenko et al., Phys. Lett. B 733, 354 (2014)
E.N. Elekina, A.P. Martynenko, Phys. At. Nucl. 73, 1828 (2010)
U.D. Jentschura, B.J. Wundt, Eur. Phys. J. D 65, 357 (2011)
U.D. Jentschura, Phys. Rev. A 84, 012505 (2011)
E.Y. Korzinin, V.G. Ivanov, S.G. Karshenboim, Phys. Rev. D 88, 125019 (2013)
S.G. Karshenboim, V.G. Ivanov, E.Y. Korzinin, Phys. Rev. A 85, 032509 (2012)
G. Källén, A. Sabry, Dan. Mat. Fys. Medd. 29, 1 (1955)
U.D. Jentschura Ann. Phys. 326, 500 (2011)
K. Pachucki, Phys. Rev. A 53, 2092 (1996)
S.G. Karshenboim, Private communication (2015)
E. Borie, Z. Phys. A 302, 187 (1981)
A.A. Krutov, A.P. Martynenko, Phys. Rev. A 84, 052514 (2011)
W. Barker, F. Glover, Phys. Rev. 99, 317 (1955)
U.D. Jentschura, Eur. Phys. J. D 61, 7 (2011)
P.J. Mohr, B.N. Taylor, D.B. Newell, Rev. Mod. Phys. 84, 1527 (2012)
J.L. Friar, Ann. Phys. 122, 151 (1979)
K. Pachucki, Private communication (2015)
V.A. Yerokhin, Nuclear recoil in the Lamb shift of hydrogen-like atoms, in ECT* Workshop on the Proton Radius Puzzle (2016)
E. Borie, Private communication (2017)
S.G. Karshenboim, E.Y. Korzinin, V.A. Shelyuto et al., Phys. Rev. D 91, 073003 (2015)
V.G. Ivanov, S.G. Karshenboim, in Lamb Shift in Light Hydrogen-Like Atoms (Springer, Berlin, Heidelberg, 2001), pp. 637–650
J. Friar, G. Payne, Phys. Rev. A 56, 5173 (1997)
K. Pachucki, Phys. Rev. Lett. 106, 193007 (2011)
J.L. Friar, Phys. Rev. C 88, 034003 (2013)
I. Sick, in Precise Radii of Light Nuclei from Electron Scattering (Springer, Berlin, Heidelberg, 2008), pp. 57–77
A.P. Martynenko, Private communication (2016)
M.I. Eides, H. Grotch, Phys. Rev. A 56, R2507 (1997)
R.N. Faustov, A.P. Martynenko, F.A. Martynenko et al., [arXiv:1706.01060 [hep-ph]
A.P. Martynenko, Private communication (2017)
C. Joachain, Nucl. Phys. 25, 317 (1961)
G.A. Rinker, Phys. Rev. A 14, 18 (1976)
C.E. Carlson, M. Vanderhaeghen, Phys. Rev. A 84, 020102(R) (2011)
L.S. Myers, J.R.M. Annand, J. Brudvik et al., Phys. Rev. Lett. 113, 262506 (2014)
C.E. Carlson, M. Gorchtein, M. Vanderhaeghen, Phys. Rev. A 89, 022504 (2014)
M.C. Birse, J.A. McGovern, Eur. Phys. J. A 48, 120 (2012)
M. Gorchtein, Private communication (2016)
S.J. Brodsky, G.W. Erickson, Phys. Rev. 148, 26 (1966)
A.C. Zemach, Phys. Rev. 104, 1771 (1956)
J.L. Friar, I. Sick, Phys. Lett. B 579, 285 (2004)
E. Borie, Z. Phys. A 297, 17 (1980)
H. Grotch, D.R. Yennie, Rev. Mod. Phys. 41, 350 (1969)
E. Borie, Private communication (2015)
J.L. Friar, G.L. Payne, Phys. Rev. C 72, 014002 (2005)
M.I. Eides, Phys. Rev. A 85, 034503 (2012)
CREMA Collaboration, to be published
S.G. Karshenboim, E.Y. Korzinin, V.A. Shelyuto et al., Phys. Rev. A 96, 022505 (2017)
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Franke, B., Krauth, J.J., Antognini, A. et al. Theory of the n = 2 levels in muonic helium-3 ions. Eur. Phys. J. D 71, 341 (2017). https://doi.org/10.1140/epjd/e2017-80296-1
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DOI: https://doi.org/10.1140/epjd/e2017-80296-1