Derives relativistic spatial distributions of transverse orbital angular momentum, intrinsic spin, and total angular momentum in the transverse plane for spin-0 and spin-1/2 targets via quantum phase-space formalism and verifies the transverse spin sum rule.
Lorc´ e, Eur
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abstract
In order to unravel the origin of the nucleon spin, one has to study in detail the question of orbital angular momentum, and in particular the reference point about which it is defined. With this in mind, we review the concept of relativistic center of mass, generalize the discussion to the case of asymmetric energy-momentum tensors, and establish the link with the light-front formalism. We find that the $p$-wave in the Dirac plane-wave solutions arises from a relativistic quantum-mechanical effect which forces the canonical reference point to depend on the observer. This explains why longitudinal spin is much simpler to study than transverse spin. It is also the reason behind the observation of induced shifts and distortions in the parton distributions defined within the light-front formalism.
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background 1representative citing papers
Relativistic EMT distributions in polarized nucleons recover good and bad light-front components in the IMF after including polarization effects.
The quantum phase-space formalism derives transverse energy-momentum tensor distributions in polarized nucleons and reproduces standard light-front distributions including bad components in the infinite-momentum frame.
citing papers explorer
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Mapping the transverse spin sum rule in position space
Derives relativistic spatial distributions of transverse orbital angular momentum, intrinsic spin, and total angular momentum in the transverse plane for spin-0 and spin-1/2 targets via quantum phase-space formalism and verifies the transverse spin sum rule.
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Relativistic energy-momentum tensor distributions in a polarized nucleon
Relativistic EMT distributions in polarized nucleons recover good and bad light-front components in the IMF after including polarization effects.
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Transverse energy-momentum tensor distributions in polarized nucleons
The quantum phase-space formalism derives transverse energy-momentum tensor distributions in polarized nucleons and reproduces standard light-front distributions including bad components in the infinite-momentum frame.