Skewed quark distribution of the pion in the light-front quark model

Abstract

We calculate the skewed quark distributions(SQDs) of the pion in the light-front quark model, and discuss the calculation of the nonvalence contribution to the SQDs in this model. The frame-independence of our model calculation is guaranteed by the constraint of the sum rule between the SQDs and form factor. Our numerical results show large nonvalence contributions to the SQDs at small momentum transfer region as the skewedness increases. PACS number(s): 13.40. Gp, 13.60.Fz, 12.39.Ki

Continuity of generalized parton distributions for the pion virtual Compton scattering

“…In this work, we improve our previous analysis [12] by taking the same LFBS approach for both vertices of meson and gauge boson and explicitly show that our reasoning presented in Ref. [12] is correct; i.e.…”

“…However, an artifact of discontinuity at x = ζ occured in our previous calculation of GPDs [12]. As we provided the reasoning [12], the discontinuity is caused by the different x = ζ behavior between the gauge boson vertex and the hadronic vertex if the wave function for the gauge boson vertex is taken differently from that for the hadronic vertex.…”

“…Although many recent theoretical endeavors [7][8][9][10][11][12] have been made in describing the GPDs in terms of LF wave functions, the task has not yet been satisfactory enough for practical calculations. In Refs.…”

“…As we provided the reasoning [12], the discontinuity is caused by the different x = ζ behavior between the gauge boson vertex and the hadronic vertex if the wave function for the gauge boson vertex is taken differently from that for the hadronic vertex. The similar observation was made recently in Ref.…”

“…In an effort toward this direction, we have presented an effective treatment of handling the nonvalence contributions to the GPDs of the pion [12] using our LF constituent quark model(LFQM), which has been phenomenologically quite successful in describing the spacelike form factors for the electromagnetic and radiative decays of pseudoscalar and vector mesons [13][14][15] and the timelike weak form factors for exclusive semileptonic and rare decays of pseudoscalar mesons [16][17][18]. Our effective treatment of handling the nonvalence contributions is based on the covariant BetheSalpeter(BS) approach formulated in the LF quantization [16] which we call LFBS approach and has been previously applied to the exclusive semileptonic and rare decays of pseudoscalar mesons [17,18] providing reasonable results compared to the data.…”