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Frequency-selective harmonic retrieval for Schottky mass spectrometry.

Xiangcheng Chen1

  • 1Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China.

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This study introduces a novel frequency domain method for analyzing Schottky data, improving harmonic retrieval accuracy in nuclear mass measurements. The new approach enhances precision for ion revolution frequencies in storage rings.

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Area of Science:

  • Nuclear Physics
  • Atomic Physics
  • Spectroscopy

Background:

  • Accurate nuclear mass measurements are crucial for nuclear structure and astrophysics.
  • Schottky mass spectrometry relies on precise determination of ion revolution frequencies in storage rings.
  • Conventional periodogram analysis faces limitations in resolving closely spaced harmonics due to discrete frequency grids.

Purpose of the Study:

  • To develop a more accurate method for retrieving harmonic frequencies from Schottky data.
  • To overcome the resolution limitations of traditional periodogram analysis.
  • To reduce computational cost while maintaining high accuracy in frequency determination.

Main Methods:

  • Implementation of a state space representation in the frequency domain.
  • Focusing analysis on a narrow frequency band for efficiency.
  • Application to real Schottky data from an isochronous-Schottky beam time.

Main Results:

  • The proposed method successfully overcomes the resolution limits of the periodogram.
  • Demonstrated accuracy of retrieved harmonics is approximately 1 ppm.
  • The method significantly reduces computational cost.

Conclusions:

  • The state space representation in the frequency domain offers a superior alternative for harmonic retrieval in Schottky mass spectrometry.
  • This advancement enables more precise nuclear mass measurements.
  • The technique is validated by real experimental data, showing high accuracy limited by ion optics effects.