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Nucleon-to-Δ Axial and Pseudoscalar Transition Form Factors.

Chen Chen1,2, Christian S Fischer3,4, Craig D Roberts5,6

  • 1Interdisciplinary Center for Theoretical Study, <a href="https://ror.org/04c4dkn09">University of Science and Technology of China</a>, Hefei, Anhui 230026, China.

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This study introduces a novel symmetry-preserving method to calculate baryon properties in relativistic quantum field theory. The approach yields parameter-free predictions for nucleon-to-Delta transitions, serving as benchmarks for neutrino physics experiments.

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Area of Science:

  • Nuclear Physics
  • Quantum Field Theory
  • Particle Physics

Background:

  • Baryon properties are crucial for understanding fundamental interactions.
  • Relativistic quantum field theory provides a framework for these calculations.
  • Existing methods may lack predictive power or require numerous parameters.

Purpose of the Study:

  • To develop a symmetry-preserving approach for calculating baryon properties.
  • To predict all form factors for nucleon-to-Delta axial and pseudoscalar transitions.
  • To unify these predictions with other baryon properties.

Main Methods:

  • Employed a symmetry-preserving calculation within relativistic quantum field theory.
  • Focused on axial and pseudoscalar transition currents.
  • Generated parameter-free predictions.

Main Results:

  • Successfully predicted all form factors for nucleon-to-Delta transitions.
  • Unified predictions for various baryon properties.
  • Provided new, parameter-free benchmark data.

Conclusions:

  • The developed method offers a robust way to study baryon properties.
  • Parameter-free predictions serve as valuable benchmarks for experimental data analysis.
  • This work aids in the elucidation of neutrino properties.