Pion-nucleon sigma term σ_πN and deeply bound pionic atoms

2022/04/20 by Natsumi Ikeno, Ikeno, Natsumi, Takahiro Nishi +9
Physics and Astronomy · #Atomic and Molecular Physics #FOS: Physical sciences #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2204.09211

openalex publication_date 2022/04/20 · openalex created_date 2022/04/26 · openalex updated_date 2026/07/28

Abstract

We investigate the possibility to determine the value of the pion-nucleon sigma term σ_πN precisely by the experimental observables of the deeply bound pionic atoms. We discuss the sensitivity of the observables to σ_πN and take into account the typical errors of the up-to-date experiments of the deeply bound pionic atoms. We find that the gap of the binding energies and the width of the deeply bound pionic states are good observables for the σ_πN value determination by the experimental data. We also discuss the expected difficulties for the accurate determination of the value of σ_πN due to the correlation between the σ term and the potential parameter in the pion-nucleus optical potential.

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