Transverse angular momentum: New results

Leader, E. (2012) Transverse angular momentum: New results. Il nuovo cimento C, 35 (2). pp. 255-259. ISSN 1826-9885

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Abstract

We describe briefly the two methods of deriving angular-momentum sum rules, the quick way using the rotational properties of states and the cumbersome way utilizing the energy momentum tensor. Though cumbersome, the latter approach allows us to derive a new relation between the expectation value of the transverse component of the Belinfante version of the angular momentum Jbel T of a quark in a transversely polarized nucleon in terms of the Generalized Parton Distributions H and E, namely Jbel T (quark) = 1 2M [P0 R 1 −1 dxxEq(x, 0, 0) + M R 1 −1 dxxHq(x, 0, 0)], where P0 is the energy of the nucleon and where “quark” implies the sum of quark and antiquark of a given flavor. A similar relation holds for gluons. The result is remarkably similar to Ji’s relation for the case of longitudinal polarization

Item Type: Article
Uncontrolled Keywords: Gauge field theories ; Quantum electrodynamics ; General properties of QCD ; Quantum chromodynamics
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 19 Apr 2020 14:08
Last Modified: 19 Apr 2020 14:08
URI: http://eprints.bice.rm.cnr.it/id/eprint/17786

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