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Lenz's Law01:15

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The direction in which the induced emf drives the current around a wire loop can be found through the negative sign. However, it is usually easier to determine this direction with Lenz's law, named in honor of its discoverer, Heinrich Lenz (1804–1865). Lenz's law states that the direction of the induced emf drives the current around a wire loop always to oppose the change in magnetic flux that causes the emf.
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Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
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Can LIGO Detect Nonannihilating Dark Matter?

Sulagna Bhattacharya1, Basudeb Dasgupta1, Ranjan Laha2

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Non-detection of gravitational waves from merging black holes constrains dark matter particle interactions. This study sets benchmark limits on dark matter-nucleon cross-sections using LIGO data, paving the way for future gravitational wave astronomy discoveries.

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Area of Science:

  • Astrophysics and Cosmology
  • Particle Physics
  • Gravitational Wave Astronomy

Background:

  • Dark matter (DM) accumulating in neutron stars could form low-mass black holes.
  • The properties of dark matter particles (mass, stability, nucleon interactions) are key to this process.
  • Gravitational wave detectors like LIGO offer a new observational window into dark matter physics.

Purpose of the Study:

  • To constrain the interaction cross-sections between dark matter particles and nucleons.
  • To utilize the non-detection of gravitational waves from specific black hole mergers for these constraints.
  • To explore the potential of gravitational wave detectors as probes for particle dark matter.

Main Methods:

  • Analysis of gravitational wave data from LIGO's O3 observing run.
  • Modeling the formation of sub-2.5M_{⊙} black holes from neutron stars accreting dark matter.
  • Setting upper limits on the dark matter-nucleon interaction cross-section (σ_{χn}) based on non-detections.

Main Results:

  • Benchmark constraints derived: σ_{χn}≥O(10^{-47}) cm² for bosonic DM (m_{χ}∼PeV or m_{χ}∼GeV) and ≥O(10^{-46}) cm² for fermionic DM (m_{χ}∼10³ PeV).
  • Constraints are dependent on prior assumptions about DM parameters and binary neutron star merger rates.
  • Future LIGO sensitivity will probe cross-sections significantly below the neutrino floor.

Conclusions:

  • The non-detection of gravitational waves from low-mass black hole mergers provides stringent constraints on non-annihilating dark matter interactions.
  • Gravitational wave astronomy offers a powerful, independent method to probe particle dark matter properties.
  • Future gravitational wave detector sensitivity will test the dark matter explanation for missing pulsars.