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Partonic angular momentum in the nucleon's chiral periphery

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arxiv 1905.02742 v1 pith:SMYSPFXD submitted 2019-05-07 hep-ph nucl-th

classification hep-phnucl-th
keywords nucleonchiraldensityperipheryangularcheftformlight-front
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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