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We present a lattice QCD calculation of the nucleon electric polarizabilitiesat the physical pion mass. Our findings reveal the substantial contributions ofthe $N\pi$ states to these polarizabilities. Without considering thesecontributions, the lattice results fall significantly below the experimentalvalues, consistent with previous lattice studies. This observation hasmotivated us to compute both the parity-negative $N\pi$ scattering length and$N\gamma^*\to N\pi$ matrix elements using lattice QCD. Our results confirm thatthe inclusion of dynamic $N\pi$ contributions allows for reliable determinationof the polarizabilities from lattice QCD. This methodology lays the groundworkfor future lattice QCD investigations into various other polarizabilities.

Nucleon electric polarizabilities and nucleon-pion scattering at physical pion mass