Transverse momentum distributions and nuclear effects

Abstract

Abstract. A distorted spin-dependent spectral function for 3 He is considered to take care of the final state interaction in the extraction of the quark transverse-momentum distributions in the neutron from semi-inclusive deep inelastic electron scattering off polarized 3 He at finite momentum transfers. The generalization of the analysis in a Poincaré covariant framework within the light-front dynamics is outlined. The definition of the light-front spin-dependent spectral function for a J=1/2 system, as the nucleon, allows us to show that within the light-front dynamics and in the valence approximation only three of the six leading twist T-even transversemomentum distributions are independent.

Light-Front Transverse Momentum Distributions for ${\cal J}$=1/2 Hadronic Systems in Valence Approximation

“…In valence approximation, we demonstrate that a linear relation between the LF spectral function and the semi-inclusive fermion correlator occurs (for preliminary results see Ref. [49][50][51][52][53]). In turn, for a spin 1/2 system it is straightforward to relate the six T-even twist-two TMDs to the LF spectral function and eventually to the system wave-function.…”