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The sign of the dipole-dipole potential by axion exchange · Around

2017

The sign of the dipole-dipole potential by axion exchange

Daido, Ryuji, Takahashi, Fuminobu

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We calculate a dipole-dipole potential between fermions mediated by a light pseudoscalar, axion, paying a particular attention to the overall sign.

While the sign of the potential is physical and important for experiments to discover or constrain the axion coupling to fermions, there is often a sign error in the literature.
The purpose of this short note is to clarify the sign issue of the axion-mediated dipole-dipole potential.
As a by-product, we find a sign change of the dipole-dipole potenital due to the different spin of the mediating particle.

Built on

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R. D. Peccei and H. R. Quinn, “Constraints Imposed by CP Conservation in the Presence of Instantons,” Phys. Rev
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Similar

J. E. Moody and F. Wilczek, “New Macroscopic Forces?,” Phys. Rev
1984
Cited alongside, same era.
B. A. Dobrescu and I. Mocioiu, “Spin-dependent macroscopic forces from new particle exchange,” JHEP
2006
Cited alongside, same era.
G. Vasilakis, J. M. Brown, T. W. Kornack, and M. V. Romalis, “Limits on new long range nuclear spin-dependent forces set with a K - He-3 co-magnetometer,” Phys. Rev. Lett
Original
2009
Cited alongside, same era.
J. E. Kim and G. Carosi, “Axions and the Strong CP Problem,” Rev. Mod. Phys
Original
2010
Cited alongside, same era.
O. Wantz and E. P. S. Shellard, “Axion Cosmology Revisited,” Phys. Rev
Original
2010
Cited alongside, same era.

Then

M. Kawasaki and K. Nakayama, “Axions: Theory and Cosmological Role,” Ann. Rev. Nucl. Part. Sci
Original
2013
Later among the works it cites.
A. Arvanitaki and A. A. Geraci, “Resonantly Detecting Axion-Mediated Forces with Nuclear Magnetic Resonance,” Phys. Rev. Lett
Original
2014
Later among the works it cites.
S. Kotler, R. Ozeri, and D. F. J. Kimball, “Constraints on exotic dipole-dipole couplings between electrons at the micrometer scale,” Phys. Rev. Lett
Original
2015
Later among the works it cites.
W. A. Terrano, E. G. Adelberger, J. G. Lee, and B. R. Heckel, “Short-range spin-dependent interactions of electrons: a probe for exotic pseudo-Goldstone bosons,” Phys. Rev. Lett
Original
2015
Later among the works it cites.
D. J. E. Marsh, “Axion Cosmology,” Phys. Rept

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