Uniqueness of the relativistic nucleon state

Dziembowski, Zbigniew

doi:10.1103/physrevd.37.768

Cited by 66 publications

(58 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As has been demonstrated in Ref. [29] Eq. (34) is the most general ansatz for the L 3 = 0 projection of the three-quark proton wave function: From the permutation symmetry between the two u-quarks and from the requirement that the three quarks have to be coupled in an isospin 1/2 state it follows that there is only one independent scalar wave function, which for convenience is parametrised as…”

Section: The Fock State Wave Functionssupporting

confidence: 61%

“…This corresponds to the approximation (25) with k + = p + we will make in the hard scattering factors, i.e. the expressions after the proton matrix elements in (29). Some degree of arbitrariness is associated with the global factor 1/(2k + ) in (29), which has its origin in (26), (27) and for which we choose to keep k + = xp + .…”

mentioning

confidence: 99%

“…the expressions after the proton matrix elements in (29). Some degree of arbitrariness is associated with the global factor 1/(2k + ) in (29), which has its origin in (26), (27) and for which we choose to keep k + = xp + . Admittedly there is no clear-cut way to associate it to either the hard scattering, where we set x = 1, or the soft matrix elements, where setting x = 1 would not even make sense since for x strictly at its end point our proton LCWFs are zero.…”

mentioning

confidence: 99%

“…3.1.2. Note that in order to express the amplitude in terms of LCWFs or of the light cone matrix elements in (29) it was essential to neglect the k − -dependence of the hard scattering. The inclusion of off-shell corrections (point 1) would thus necessitate an extension of the framework we are using here.…”

mentioning

confidence: 99%

See 3 more Smart Citations

Linking parton distributions to form factors and Compton scattering

et al. 1999

View full text Add to dashboard Cite

We relate ordinary and skewed parton distributions to soft overlap contributions to elastic form factors and large angle Compton scattering, using light-cone wave functions in a Fock state expansion of the nucleon. With a simple ansatz for the wave functions of the three lowest Fock states we achieve a good description of unpolarised and polarised parton distributions at large x, and of the data for the Dirac form factor and for Compton scattering, both of which can be saturated with soft contributions only. Large angle Compton scattering appears as a good case to investigate the relative importance of soft and hard contributions in exclusive processes which are sensitive to the end point regions of the nucleon wave function.

show abstract

Section: The Fock State Wave Functionssupporting

confidence: 61%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Linking parton distributions to form factors and Compton scattering

et al. 1999

View full text Add to dashboard Cite

show abstract

“…The three-quark (valence) Fock state of the nucleon has been shown in Ref. [36] to have only one independent LCWF for all configurations where the quark helicities add up to the helicity of the nucleon. This state is also known to almost exhaust the contribution to GPD's at large values of x [25].…”

Section: Connection With the Instant-form Representationmentioning

confidence: 99%

Linking generalized parton distributions to constituent quark models

2003

View full text Add to dashboard Cite

The link between the nucleon generalized parton distributions and the non-diagonal one-body density matrix in momentum space is studied. Attention is focussed on the region where quark generalized parton distributions (GPD's) describe emission and reabsorption of a single active quark by the target nucleon. The correct covariant connection with wave functions used in any constituent quark model is established. Results obtained with different constituent quark models are presented for the unpolarized quark GPD's.

show abstract

A New Picture for Light Front Dynamics, II

Fuda

1994

Annals of Physics

View full text Add to dashboard Cite

Uniqueness of the relativistic nucleon state

Cited by 66 publications

References 27 publications

Linking parton distributions to form factors and Compton scattering

Linking parton distributions to form factors and Compton scattering

Linking generalized parton distributions to constituent quark models

A New Picture for Light Front Dynamics, II

Contact Info

Product

Resources

About