Abstract

Exotic spin-dependent interactions may be generated by exchanging hypothetical bosons that have been proposed to solve some mysteries in physics by theories beyond the standard model of particle physics. The search for such interactions can be conducted by tabletop scale experiments using high precision measurement techniques. Here we report an experiment to explore the parity-odd interaction between moving polarized electrons and unpolarized nucleons using a magnetic force microscope. The polarized electrons are provided by the magnetic tip at the end of a silicon cantilever, and their polarizations are approximately magnetized in the plane of the magnetic coating on the tip. A periodic structure with alternative gold and silicon dioxide stripes provides unpolarized nucleons with periodic number density modulation. The exotic forces are expected to change the oscillation amplitude of the cantilever which is measured by a fiber laser interferometer. Data has been taken by scanning the tip over the nucleon source structure at constant separation, and no exotic signal related to the density modulation has been observed. Thus, the experiment sets a limit on the electron-nucleon coupling constant, ${g}_{A}^{e}{g}_{V}^{N}\ensuremath{\le}9\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}15}$ for $15\text{ }\text{ }\ensuremath{\mu}\mathrm{m}\ensuremath{\le}\ensuremath{\lambda}\ensuremath{\le}180\text{ }\text{ }\ensuremath{\mu}\mathrm{m}$, using a direct force measurement method.

Highlights

  • The experimental search for the exotic spin-dependent interactions has received substantial attention in the last decade [1,2,3]

  • Exotic spin-dependent interactions may be generated by exchanging hypothetical bosons that have been proposed to solve some mysteries in physics by theories beyond the standard model of particle physics

  • The measurements have been conducted in frequency modulation atomic force microscopy (FM-AFM) mode with constant drive, where the cantilever is excited by a piezo plate with a constant drive amplitude

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Summary

INTRODUCTION

The experimental search for the exotic spin-dependent interactions has received substantial attention in the last decade [1,2,3]. Under the framework of quantum field theory, Dobrescu and Mocioiu derived sixteen types of interaction potentials generated by any generic spin-0 or spin-1 boson exchange assuming rotational invariance [22]. 1 e−r=λ; r ð1Þ where ħ is the reduced Planck’s constant, geA is the axialvector coupling constant to electrons, gNV is the vector coupling constant to nucleons, σis the Pauli vector of electron spin, v⃗ is the relative velocity between electron and nucleon, and λ 1⁄4 ħ=mbc is the interaction range with boson mass mb This potential can be generated by the exchange. We use a sensitive cantilever with a magnetic tip to search for the interaction between polarized electrons and unpolarized nucleons at the micrometer scale by direct force measurement

EXPERIMENTAL SCHEME
EXPERIMENTAL DETAILS
Nucleon source structure
Displacement amplitude measurement
Displacement amplitude imaging
Exotic force calculation
Spurious forces
Constraints on the coupling constant
CONCLUSIONS
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