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Precision Spectroscopy of the Pionic Helium-4.

Zhi-Da Bai1,2, Vladimir I Korobov3, Zong-Chao Yan1,4

  • 1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China.

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Summary
This summary is machine-generated.

This study precisely calculates the transition frequency in pionic helium-4, improving theoretical values and estimating collisional effects. This work will significantly refine the pion mass measurement.

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Area of Science:

  • Atomic Physics
  • Quantum Electrodynamics
  • Nuclear Physics

Background:

  • Pionic atoms provide a sensitive probe of fundamental physics.
  • Precise calculations of transition frequencies are crucial for determining fundamental constants.

Purpose of the Study:

  • To calculate the (n,ℓ)=(17,16)→(16,15) transition frequency in pionic helium-4 with high accuracy.
  • To improve upon existing theoretical predictions and provide a benchmark for experimental measurements.
  • To estimate the impact of collisional effects on transition frequencies.

Main Methods:

  • Relativistic and quantum electrodynamic corrections were included up to O(R_{∞}α^{5}).
  • Theoretical calculations were performed to a precision of 4 parts per billion (ppb).
  • Collisional effects between pionic helium and target helium were theoretically estimated.

Main Results:

  • The transition frequency was calculated with unprecedented accuracy (4 ppb).
  • The results significantly improve upon previous theoretical values.
  • Collisional effects were found to influence transition frequencies.

Conclusions:

  • The precise calculation provides a new benchmark for pionic helium-4 spectroscopy.
  • Future experiments reaching ppb accuracy will enable a 2-3 order of magnitude improvement in the pion mass determination.