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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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All atomic nuclei are positively charged. When they have a nonzero spin, they behave like rotating charges. As a consequence of their charge and spin, these nuclei generate a magnetic field (B). This, in turn, gives rise to a magnetic moment (μ), which is randomly oriented in the absence of an external magnetic field. When an external magnetic field (B0) is applied, the magnetic moment vectors can align with the field or against it in 2 + 1 orientations. A hydrogen nucleus, which is just a...
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Ab Initio Structure Factors for Spin-Dependent Dark Matter Direct Detection.

B S Hu1, J Padua-Argüelles1,2, S Leutheusser1,3

  • 1TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada.

Physical Review Letters
|March 4, 2022
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We calculated structure factors for dark matter detection experiments using ab initio methods. Our results for WIMP scattering off various nuclei are generally consistent with prior work, though ^{127}I requires further investigation.

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Area of Science:

  • Nuclear Physics
  • Particle Physics
  • Astrophysics

Background:

  • Direct detection experiments search for Weakly Interacting Massive Particles (WIMPs) as dark matter candidates.
  • Accurate theoretical predictions of WIMP-nucleus scattering are crucial for interpreting experimental results.
  • Ab initio calculations provide a fundamental approach to nuclear structure and interactions.

Purpose of the Study:

  • To compute precise structure factors for elastic spin-dependent WIMP scattering off nuclei relevant to dark matter detection.
  • To establish a consistent theoretical framework for WIMP-nucleon currents, including two-body effects.
  • To assess the impact of nuclear structure uncertainties on dark matter detection sensitivities.

Main Methods:

  • Utilized ab initio calculations based on chiral effective field theory for nuclear interactions.
  • Employed the in-medium similarity renormalization group (IMSRG) to derive effective nuclear Hamiltonians and operators.
  • Incorporated natural orbitals and three-nucleon forces for basis-space convergence, especially in heavy nuclei.

Main Results:

  • Presented converged structure factors for WIMP scattering off ^{19}F, ^{23}Na, ^{27}Al, ^{29}Si, ^{73}Ge, ^{127}I, and ^{129,131}Xe.
  • Demonstrated consistency with previous calculations for most nuclei.
  • Identified significant uncertainties in the structure factors for ^{127}I.

Conclusions:

  • The study provides essential theoretical inputs for dark matter direct detection experiments.
  • The developed ab initio framework offers a reliable method for calculating nuclear responses.
  • Further theoretical and experimental efforts are needed to resolve uncertainties for specific nuclei like ^{127}I.