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arxiv: 1905.02742 · v1 · pith:SMYSPFXDnew · submitted 2019-05-07 · ✦ hep-ph · nucl-th

Partonic angular momentum in the nucleon's chiral periphery

classification ✦ hep-ph nucl-th
keywords nucleonchiraldensityperipheryangularcheftformlight-front
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We study the nucleon's partonic angular momentum (AM) content at peripheral transverse distances $b = \mathcal{O}(M_\pi^{-1})$, where the structure is governed by chiral dynamics. We compute the nucleon form factors of the energy-momentum tensor in chiral effective field theory (ChEFT) and construct the transverse densities of AM at fixed light-front time. In the periphery the spin density is suppressed, and the AM is predominantly orbital. In the first-quantized representation of ChEFT in light-front form, the field-theoretical AM density coincides with the quantum-mechanical orbital AM density of the soft pions in the nucleon's periphery.

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