1998
DOI: 10.1103/physrevd.58.096006
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Long range forces from pseudoscalar exchange

Abstract: Using dispersion theoretic techniques, we consider coherent long range forces arising from double pseudoscalar exchange among fermions. We find that Yukawa type coupling leads to 1/r 3 spin independent attractive potentials whereas derivative coupling renders 1/r 5 spin independent repulsive potentials.

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Cited by 64 publications
(102 citation statements)
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“…(6) is that the most stringent laboratory limits on Yukawa couplings of pseudoscalars to protons, neutrons, (and ultimately quarks) arise from spin-independent equivalence principle experiments which constrain V (4) , rather than from spin-dependent experiments which are sensitive to V (2) . Since the couplings of axions to fermions involve derivatives, the resulting 2-axion potential varies as 1/r 5 rather than as 1/r 3 , as has been noted by Ferrer and Grifols [8]. Hence, the numerical results of the present paper do not apply to axions directly, although the present formalism can be taken over for axions with appropriate modifications.…”
mentioning
confidence: 78%
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“…(6) is that the most stringent laboratory limits on Yukawa couplings of pseudoscalars to protons, neutrons, (and ultimately quarks) arise from spin-independent equivalence principle experiments which constrain V (4) , rather than from spin-dependent experiments which are sensitive to V (2) . Since the couplings of axions to fermions involve derivatives, the resulting 2-axion potential varies as 1/r 5 rather than as 1/r 3 , as has been noted by Ferrer and Grifols [8]. Hence, the numerical results of the present paper do not apply to axions directly, although the present formalism can be taken over for axions with appropriate modifications.…”
mentioning
confidence: 78%
“…The laboratory constraints on pseudoscalar couplings derived in this paper are model independent, but do not apply to axions which are derivative-coupled [8]. Although the present formalism can be adapted to infer limits on axion couplings using the 1/r 5 potential arising from 2-axion exchange, the best existing limits on light axions still come from stellar cooling [16,17].…”
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confidence: 99%
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“…Potentials with k = 5 may be produced by the simultaneous exchange of two massless pseudoscalar particles with γ 5 γ µ ∂ µ couplings such as axions or Goldstone bosons [24], or by a massless neutrino-antineutrino pair [27].…”
Section: Multi-particle Exchange Forcesmentioning
confidence: 99%
“…Potentials with k = 2 or k = 3 may be generated by the simultaneous exchange of two massless scalar [23] or γ 5 -coupled massless pseudoscalar [24] particles, respectively. The exchange of two massive pseudoscalar bosons having γ 5 couplings to fermions a and b with coupling constants g a and g b , produces a long-range, spin-independent exchange potential [25,26],…”
Section: Multi-particle Exchange Forcesmentioning
confidence: 99%