Nucleon Electric Polarizabilities and Nucleon-Pion Scattering at the Physical Pion Mass

Wang, Xuan-He; Zhang, Zhao-Long; Cao, Xiong-Hui; Fan, Cong-Ling; Feng, Xu; Gao, Yu-Sheng; Jin, Lu-Chang; Liu, Chuan

doi:10.1103/PhysRevLett.133.141901

Nucleon Electric Polarizabilities and Nucleon-Pion Scattering at the Physical Pion Mass

Journal Article · Mon Sep 30 00:00:00 EDT 2024 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.133.141901· OSTI ID:2449652

Wang, Xuan-He; ; Cao, Xiong-Hui; Fan, Cong-Ling; ; Gao, Yu-Sheng; ; Liu, Chuan

We present a lattice QCD calculation of the nucleon electric polarizabilities at the physical pion mass. Our findings reveal the substantial contributions of the $N π$ states to these polarizabilities. Without considering these contributions, the lattice results fall significantly below the experimental values, consistent with previous lattice studies. This observation has motivated us to compute both the parity-negative $N π$ scattering up to a nucleon momentum of $\sim 0.5 GeV$ in the center-of-mass frame and corresponding $N γ^{*} \to N π$ matrix elements using lattice QCD. Our results confirm that incorporating dynamic $N π$ contributions is crucial for a reliable determination of the polarizabilities from lattice QCD. This methodology lays the groundwork for future lattice QCD investigations into various other polarizabilities.

Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010339; SC0021147

OSTI ID:: 2449652

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 14 Vol. 133; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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