# Quark structure functions of mesons, fragmentation functions, higher-twist effects in QCD, deep inelastic scattering, and the Drell-Yan process. [Constituent binding in hadron wave function cross section azimuthal angular dependence]

## Abstract

Inclusion of specific effects associated with constituent binding in hadronic wave functions is shown to lead to important nonscaling, nonfactorizing 1/Q/sup 2/ contributions to cross sections for semi-inclusive deep-inelastic scattering, the Drell-Yan process, and other hard scattering reactions. These 1/Q/sup 2/ higher-twist terms are predicted to be dominant in well defined kinematic regions such as large x and/or large z. They provide angular distributions typical of longitudinally polarized virtual photons and W's, including sin/sup 2/theta terms in meson induced Drell-Yan processes and in e/sup +/e/sup -/ ..-->.. ..pi..X, as well as unusual (1-y) terms in deep-inelastic scattering. Calculations are also presented of the quark structure functions of the pion q/sub ..pi../(x,Q/sup 2/) and for the quark to pion fragmentation function D/sub ..pi..(z,Q/sup 2/). Predictions are made for the azimuthal angle dependence of the cross sections for ..pi..N ..-->.. ..mu.. anti ..mu..X and lN ..-->.. l'..pi..X.

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center, CA (USA); Argonne National Lab., IL (USA)

- OSTI Identifier:
- 5826582

- Report Number(s):
- SLAC-PUB-2362; CONF-790642-5

TRN: 79-021051

- DOE Contract Number:
- EY-76-C-03-0515

- Resource Type:
- Conference

- Resource Relation:
- Conference: International conference on high energy physics, Geneva, Switzerland, 27 Jun 1979

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ELECTRON-POSITRON INTERACTIONS; ANNIHILATION; DEEP INELASTIC SCATTERING; INCLUSIVE INTERACTIONS; NUCLEON-NUCLEON INTERACTIONS; TRANSVERSE MOMENTUM; PION-NUCLEON INTERACTIONS; PIONS; QUARK MODEL; ANGULAR DISTRIBUTION; BINDING ENERGY; CROSS SECTIONS; INTERMEDIATE VECTOR BOSONS; MESONS; QUANTUM CHROMODYNAMICS; SCATTERING; SEMI-INCLUSIVE INTERACTIONS; STRUCTURE FUNCTIONS; VIRTUAL PARTICLES; WAVE FUNCTIONS; BARYON-BARYON INTERACTIONS; BASIC INTERACTIONS; BOSONS; COMPOSITE MODELS; DISTRIBUTION; ELECTROMAGNETIC INTERACTIONS; ELEMENTARY PARTICLES; ENERGY; FIELD THEORIES; FUNCTIONS; HADRON-HADRON INTERACTIONS; HADRONS; INELASTIC SCATTERING; INTERACTIONS; INTERMEDIATE BOSONS; LEPTON-BARYON INTERACTIONS; LEPTON-HADRON INTERACTIONS; LEPTON-LEPTON INTERACTIONS; LEPTON-NUCLEON INTERACTIONS; LINEAR MOMENTUM; MATHEMATICAL MODELS; MESON-BARYON INTERACTIONS; MESON-NUCLEON INTERACTIONS; PARTICLE INTERACTIONS; PARTICLE MODELS; POSTULATED PARTICLES; PSEUDOSCALAR MESONS; QUANTUM FIELD THEORY; 645202* - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties; 645206 - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions, Baryon No. = 1- (-1987)

### Citation Formats

```
Berger, E L.
```*Quark structure functions of mesons, fragmentation functions, higher-twist effects in QCD, deep inelastic scattering, and the Drell-Yan process. [Constituent binding in hadron wave function cross section azimuthal angular dependence]*. United States: N. p., 1979.
Web.

```
Berger, E L.
```*Quark structure functions of mesons, fragmentation functions, higher-twist effects in QCD, deep inelastic scattering, and the Drell-Yan process. [Constituent binding in hadron wave function cross section azimuthal angular dependence]*. United States.

```
Berger, E L. Sun .
"Quark structure functions of mesons, fragmentation functions, higher-twist effects in QCD, deep inelastic scattering, and the Drell-Yan process. [Constituent binding in hadron wave function cross section azimuthal angular dependence]". United States. https://www.osti.gov/servlets/purl/5826582.
```

```
@article{osti_5826582,
```

title = {Quark structure functions of mesons, fragmentation functions, higher-twist effects in QCD, deep inelastic scattering, and the Drell-Yan process. [Constituent binding in hadron wave function cross section azimuthal angular dependence]},

author = {Berger, E L},

abstractNote = {Inclusion of specific effects associated with constituent binding in hadronic wave functions is shown to lead to important nonscaling, nonfactorizing 1/Q/sup 2/ contributions to cross sections for semi-inclusive deep-inelastic scattering, the Drell-Yan process, and other hard scattering reactions. These 1/Q/sup 2/ higher-twist terms are predicted to be dominant in well defined kinematic regions such as large x and/or large z. They provide angular distributions typical of longitudinally polarized virtual photons and W's, including sin/sup 2/theta terms in meson induced Drell-Yan processes and in e/sup +/e/sup -/ ..-->.. ..pi..X, as well as unusual (1-y) terms in deep-inelastic scattering. Calculations are also presented of the quark structure functions of the pion q/sub ..pi../(x,Q/sup 2/) and for the quark to pion fragmentation function D/sub ..pi..(z,Q/sup 2/). Predictions are made for the azimuthal angle dependence of the cross sections for ..pi..N ..-->.. ..mu.. anti ..mu..X and lN ..-->.. l'..pi..X.},

doi = {},

url = {https://www.osti.gov/biblio/5826582},
journal = {},

number = ,

volume = ,

place = {United States},

year = {1979},

month = {7}

}