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Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion.

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Area of Science:

  • Nuclear Physics
  • Quantum Field Theory
  • Effective Field Theory

Background:

  • Accurate nucleon-nucleon (NN) potentials are crucial for understanding nuclear structure and reactions.
  • Chiral effective field theory (ChEFT) provides a systematic framework for constructing NN potentials based on fundamental symmetries of quantum chromodynamics.
  • Previous calculations at fourth order in ChEFT showed limitations in describing NN scattering data.

Purpose of the Study:

  • To construct and analyze the NN potential at fifth order in ChEFT.
  • To assess the convergence of the chiral expansion for nuclear forces.
  • To validate a novel method for quantifying theoretical uncertainties in ChEFT calculations.

Main Methods:

  • Development of the NN potential at fifth order using coordinate-space regularization.
  • Determination of low-energy constants from pion-nucleon scattering data.
  • Calculation and comparison of NN phase shifts with experimental data.

Main Results:

  • Substantial improvement in the description of NN phase shifts compared to fourth-order results.
  • Fifth-order corrections are of natural size, indicating good convergence of the chiral expansion.
  • The proposed method for quantifying theoretical uncertainty is strongly supported by the results.

Conclusions:

  • The fifth-order NN potential in ChEFT offers a significant advancement in describing NN interactions.
  • The results confirm the reliability of the chiral expansion for nuclear forces and the proposed uncertainty quantification.
  • This work enables more precise ab initio calculations for few- and many-nucleon systems, aiding the study of the three-nucleon force.