In a finite box the axial-vector current matrix element between two nucleons requires a larger set of form factors than the usual two employed in infinite volume; the complete one-loop expressions are derived in SU(2) chiral EFT with Delta degrees of freedom.
The nucleon and Delta(1232) form factors at low momentum-transfer and small pion masses
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abstract
An expansion of the electromagnetic form factors of the nucleon and Delta(1232) in small momentum transfer and pion mass is performed in a manifestly-covariant EFT framework consistent with chiral symmetry and analyticity. We present the expressions for the nucleon and Delta(1232) electromagnetic form factors, charge radii, and electromagnetic moments in the framework of SU(2) baryon chiral perturbation theory, with nucleon and Delta(1232)-isobar degrees of freedom, to next-to-leading order. Motivated by the results for the proton electric radius obtained from the muonic-hydrogen atom and electron-scattering process, we extract values for the second derivative of the electric form factor which is a genuine prediction of the p^3 BChPT. The chiral behavior of radii and moments is studied and compared to that obtained in the heavy-baryon framework and lattice QCD. The chiral behavior of Delta(1232)-isobar properties exhibits cusps and singularities at the threshold of Delta->pi N decay, and their physical significance is discussed.
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Decomposition of the axial-vector current in a finite box
In a finite box the axial-vector current matrix element between two nucleons requires a larger set of form factors than the usual two employed in infinite volume; the complete one-loop expressions are derived in SU(2) chiral EFT with Delta degrees of freedom.