Showing papers on "Parton published in 1970"

Theory of deep-inelastic lepton--nucleon scattering and lepton-pair annihilation processes. iii. deep-inelastic electron--positron annihilation.

Abstract: This is the third in a series of four papers devoted to a theoretical study based on canonical quantum field theory of the deep inelastic lepton processes In the present paper we present the detailed calculations leading to the limiting behavior or the “parton model” for deep inelastic electron-positron annihilation into a nucleon (or hadron) plus “anything else”, i e e+ e + -+p + “anything” where “anything” refers to all possible hadrons In particular we show that the structure functions satisfy a scaling behavior analogous to the Bjorken limit for deep inelastic scattering The precise relation of the structure functions for deep inelastic annihilation processes to those for the deep inelastic scattering is discussed along with specific experimental implications and tests

Theory of deep-inelastic lepton--nucleon scattering and lepton pair annihilation processes. iv. deep-inelastic neutrino scattering.

Abstract: This is the second in a series of four papers devoted to a theoretical study based on canonical quantum field theory of the deep-inelastic lepton processes. In the present paper we present the detailed calculations leading to the limiting behavior—or the "parton model"—for deep-inelastic electron scattering. It follows from this work that the structure functions depend only on the ratio of energy to momentum transfer 2Mνq2 as conjectured by Bjorken on general grounds. To accomplish this derivation, it is necessary to introduce a transverse momentum cutoff so that there exists an asymptotic region in which q2 and Mν can be made larger than the transverse momenta of all the virtual constituents or "partons" of the proton that are involved. We also derive the ladder approximation for the leading contribution, order by order in the strong interaction and to all orders in the coupling, to the asymptotic behavior of these structure functions with increasing ratio of energy to momentum transfer. Finally, we draw and discuss the experimental implications.

Duality, Quarks, and Inelastic Electron-Hadron Scattering

Abstract: A model for high-energy hadron reactions is proposed, incorporating ideas borrowed from the duality scheme of strong interactions and from the quark version of the parton model for inelastic electron-hadron scattering. Experimental tests of the model are discussed.

High-Energy Inelastic Neutrino-Nucleon Interactions

Abstract: We discuss high-energy inelastic neutrino-nucleon inelastic processes in the light of recent theoretical and experimental developments for the . corresponding electroproduction processes. We review the kinematics for the process in a form especially convenient for experimental analysis. We discuss sum-rules and results related to current commutation relations. Consequences of the parton model and diffractive models are considered. Other results are (1) the vector and axial contributions to the total cross section are equal, provided the only symmetry breaking term in the energy density transforms like a quark mass term under U(6) @U(6). (2) Scaleinvariance of one of the three form factors (VP or VW,) describing the process implies a neutrino total cross section which rises linearly with laboratory energy, provided the lepton current is local and there is no W-boson. The effect of a W-boson on this result is studied. (3) The relation of existing neutrino data and electroproduction data given by the conserved vector current hypothesis is studied and found compatible with experiment. * Work supported by the U. S. Atomic Energy Commission.

Inelastic e − p Scattering Data and a New Parton Model

Abstract: We elaborate on the application of the parton concepts to inelastic lepton-nucleon scattering. We propose a series of sum rules connecting the structure function $\ensuremath{ u}{W}_{2}(\ensuremath{ u},{Q}^{2})$ and the properties of the partons. In particular, a sum rule is derived relating the structure function of the neutron and the proton which depends only on the charge distribution of the partons. We then attempt to generalize the quark-parton model of Bjorken and Paschos (BP) so as to fit the data on inelastic $e\ensuremath{-}p$ scattering which are presently available. We find that we are unable to fit the data with this model. A new model is therefore developed in which the partons are not identified with quarks, and the minimum number of partons is four (whereas in the BP model it is three). It is found that this model gives an excellent fit to the data in the approximation that the scale invariance is true. It is pointed out that the minimum number of partons plays an important role in parton models. Our fits also show that the mean square charge per parton is very small, which rules out any reasonable possibility of associating individual quarks with partons.