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Department of Physics, University of California, Irvine, California 92697, USA~Received 24 June 2003; published 30 September 2003!The simultaneous exchange of two pseudoscalars between fermions leads to a spin-independent force be-tween macroscopic objects. Previous work has demonstrated that one can combine this interaction with tests ofthe weak equivalence principle, gravitational inverse square law, and studies of laser beam propagation inmagnetic elds, to set signicant new constraints on the Yukawa couplings of massless pseudoscalars tonucleons. Here we extend these results to massive pseudoscalars, and derive new constraints which relate thestrengths of these couplings to the pseudoscalar mass.DOI: 10.1103/PhysRevD.68.062002 PACS number~s!: 04.80.Cc, 14.80.2jI. INTRODUCTION

Constraining the couplings of massive pseudoscalars using gravity and optical experiments