Abstract
We present an experimental technique to measure light shifts due to the nuclear spin independent (NSI) parity-nonconserving (PNC) interaction in the \( 7{S}_{1/2} \)–\( 6{D}_{3/2} \) transition in ultracold \( {}^{210}\mathrm{Fr} \) atoms. The approach we propose is similar to the one by Fortson (Phys Rev Lett 70:2383, 10) to measure the PNC-induced light shift which arises from the interference of parity nonconserving electric dipole transition and electric quadrupole transition amplitudes. Its major advantage is that it can treat more than \( {10}^4 \) ultracold \( {}^{210}\mathrm{Fr} \) atoms to enhance the shot noise limit. A relativistic coupled-cluster method has been employed to calculate the electric dipole transition amplitudes arising from the PNC interaction. Based on these calculations, we have evaluated the PNC-induced light shifts for transitions between the hyperfine levels of the \( 7{S}_{1/2} \) and \( 6{D}_{3/2} \) states and suitable transitions are identified for carrying out PNC measurements. It is possible in principle to probe new physics beyond the standard model with our proposed experimental scheme.
This article is part of the topical collection “Enlightening the World with the Laser” - Honoring T. W. Hänsch guest edited by Tilman Esslinger, Nathalie Picqué, and Thomas Udem.
References
M.A. Bouchiat, C. Bouchiat, Rep. Prog. Phys. 60, 1351 (1997)
J.S.M. Ginges, V. Flambaum, Phys. Rep. 397, 63 (2004)
M.A. Bouchiat, C. Bouchiat, J. Phys. (Paris) 35, 899 (1974)
M.A. Bouchiat, C.C. Bouchiat, Phys. Lett. B 48, 111 (1974)
V.V. Flambaum, I.B. Khriplovich, J. Exp. Theor. Phys. 52, 835 (1980)
W.J. Marciano et al., Phys. Rev. Lett. 65, 2963 (1990)
M.J. Ramsey-Musolf, Phys. Rev. C 60, 015501 (1999)
C.S. Wood, S.C. Bennett, D. Cho, B.P. Masterson, J.L. Roberts, C.E. Tanner, C.E. Wieman, Science 275, 1759 (1997)
K. Tsigutkin, D. Dounas-Frazer, A. Family, J.E. Stalnaker, V.V. Yashchuk, D. Budker, Phys. Rev. Lett. 103, 071601 (2009)
N. Fortson, Phys. Rev. Lett. 70, 2383 (1993)
L.W. Wansbeek, B.K. Sahoo, R.G.E. Timmermans, K. Jungmann, B.P. Das, D. Mukherjee, Phys. Rev. A 78, 050501(R) (2008)
B.K. Sahoo, B.P. Das, Phys. Rev. A 84, 010502(R) (2011)
B.M. Roberts, V.A. Dzuba, V.V. Flambaum, Phys. Rev. A 89, 012502 (2014)
W.R. Johnson, M.S. Safronova, U.I. Safronova, Phys. Rev. A 67, 062106 (2003)
B.K. Sahoo, T. Aoki, B.P. Das, Y. Sakemi, Phys. Rev. A 93, 032520 (2016)
M.-A. Bouchiat, Phys. Rev. Lett. 100, 123003 (2008)
E. Gomez, S. Aubin, G.D. Sprouse, L.A. Orozco, D.P. DeMille, Phys. Rev. A 75, 033418 (2007)
D. Sheng, L.A. Orozco, E. Gomez, J. Phys. B At. Mol. Opt. Phys. 43, 074004 (2010)
G. Stancari, S.N. Atutov, R. Calabrese, L. Corradi, A. Dainelli, C. de Mauro, A. Khanbekyan, E. Mariotti, P. Minguzzi, L. Moi, S. Sanguinetti, L. Tomassetti, S. Veronesi, Eur. Phys. J. Special Topics 150, 389 (2007)
B.K. Sahoo, B.P. Das, R.K. Chaudhuri, D. Mukherjee, Phys. Rev. A 75, 032507 (2007)
K.P. Geetha, A.D. Singh, B.P. Das, C.S. Unnikrishnan, Phys. Rev. A 58, R16(R) (1998)
B.K. Sahoo, P. Mandal, M. Mukherjee, Phys. Rev. A 83, 030502(R) (2011)
T. Aoki, Y. Torii, B.K. Sahoo, B.P. Das, K. Harada, T. Hayamizu, K. Sakamoto, H. Kawamura, T. Inoue, A. Uchiyama et al., Asian J. Phys. 25, 1247 (2016)
E.D. Commins, P.H. Bucksbaum, Weak Interactions of Leptons and Quarks (Cambridge University Press, Cambridge, 1983)
D. London, J.L. Rosner, Phys. Rev. D 34, 1530 (1986)
V.A. Dzuba, J.C. Berengut, V.V. Flambaum, B. Roberts, Phys. Rev. Lett. 109, 203003 (2012)
V. Barger, G.F. Guidice, T. Han, Phys. Rev. D 40, 2987 (1989)
E.J. Eichten et al., Phys. Rev. Lett. 50, 811 (1983)
A.E. Nelson, Phys. Rev. Lett. 78, 4159 (1997)
A. Deandrea, Phys. Lett. B 409, 277 (1997)
D. Wang et al., Nature 506, 67 (2014)
M.E. Peskin, T. Takeuchi, Phys. Rev. Lett. 65, 964 (1990)
K.S. Kumar, S. Mantry, W.J. Marciano, P.A. Souder, Annu. Rev. Nucl. Part. Sci. 63, 237 (2013)
C. Bouchiat, P. Fayet, Phys. Lett. 608, 87 (2005)
H. Davoudiasl, H.-S. Lee, W.J. Marciano, Phys. Rev. D 85, 115019 (2012)
H. Davoudiasl, H.-S. Lee, W.J. Marciano, Phys. Rev. Lett. 109, 031802 (2012)
D. Androic et al. (\( {Q}_{weak} \) Collaboration), Phys. Rev. Lett. 111, 141803 (2013)
J. Erler, A. Kurylov, M.J. Ramsey-Musolf, Phys. Rev. D 68, 016006 (2003)
J. Beringer et al. (Particle Data Group), Phys. Rev. D 86, 010001 (2012)
B.K. Sahoo, B.P. Das, Phys. Rev. A 92, 052511 (2015)
M.S. Safronova, W.R. Johnson, Phys. Rev. A 62, 022112 (2000)
V.A. Dzuba, V.V. Flambaum, M.S. Safronova, Phys. Rev. A 73, 022112 (2006)
V.M. Shabaev, I.I. Tupitsyn, K. Pachucki, G. Plunien, V.A. Yerokhin, Phys. Rev. A 72, 062105 (2005)
B.K. Sahoo, D.K. Nandy, B.P. Das, Y. Sakemi, Phys. Rev. A 91, 042507 (2015)
N.F. Ramsey, Molecular Beams (Oxford University Press, Oxford, 1956)
J.E. Sansonetti, J. Phys. Chem. Ref. Data 36, 497 (2007)
C. Ekström, L. Robertsson, A. Rosán, Physica Scripta. 34, 624 (1986)
Y. Sakemi et al., J. Phys. Conf. Ser. 302, 012051 (2011)
H. Kawamura et al., JPS Conf. Proc. 6, 030068 (2015)
T. Inoue et al., JPS Conf. Proc. 6, 030070 (2015)
K. Harada et al., Appl. Opt. 55, 1164 (2016)
U. Gaubatz, P. Rudecker, M. Becker, S. Schiemann, M. Külz, K. Bergmann, Chem. Phys. Lett. 149, 463 (1988)
J.R. Kuklinski, U. Gaubatz, F.T. Hioe, K. Bergmann, Phys. Rev. A 40, R6741 (1989)
M. Weitz, B.C. Young, S. Chu, Phys. Rev. A 50, 2438 (1994)
P. Marte, P. Zoller, J.L. Hall, Phys. Rev. A 44, R4118 (1991)
T. Nakajima, Phys. Rev. A 59, 559 (1999)
Acknowledgements
We thank Dr. M. Mukherjee of National University of Singapore, Prof. S. Tojo of Chuo University, and Dr. U. Tanaka of Osaka University for many useful discussions on light shifts and E2 transitions. We also thank Dr. N. Yamanaka in Riken for discussions. This work was supported by a Grant-in-Aid for Scientific Research (B) (No. 25287100), a Grant-in-Aid for Scientific Research (S) (No. 26220705), and a Grant-in-Aid for Scientific Research on Innovative Areas (No. 21104005) from the Japan Society for the Promotion of Science (JSPS). BKS acknowledges access to the Vikram-100 HPC cluster of the Physical Research Laboratory (PRL), India for carrying out computations.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 The Author(s)
About this chapter
Cite this chapter
Aoki, T. et al. (2018). Parity-Nonconserving Interaction-Induced Light Shifts in the \( \mathbf{{7S}}_{\mathbf{1/2}} \)–\( \mathbf{6 D}_{\mathbf{3/2}} \) Transition of the Ultracold \( ^{\mathbf{210}}{\mathbf{Fr}} \) Atoms to Probe New Physics Beyond the Standard Model. In: Meschede, D., Udem, T., Esslinger, T. (eds) Exploring the World with the Laser. Springer, Cham. https://doi.org/10.1007/978-3-319-64346-5_29
Download citation
DOI: https://doi.org/10.1007/978-3-319-64346-5_29
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-64345-8
Online ISBN: 978-3-319-64346-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)