# Relation between transverse momentum dependent distribution functions and parton distribution functions in the covariant parton model approach

## Abstract

We derive relations between transverse momentum dependent distribution functions (TMDs) and the usual parton distribution functions (PDFs) in the 3D covariant parton model, which follow from Lorentz invariance and the assumption of a rotationally symmetric distribution of parton momenta in the nucleon rest frame. Using the known PDFs f_1(x) and g_1(x) as input we predict the x- and pT-dependence of all twist-2 T-even TMDs.

- Authors:

- Publication Date:

- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1016080

- Report Number(s):
- JLAB-THY-10-1176; DOE/OR/23177-1573; arXiv:1012.5296

Journal ID: ISSN 1550-7998; TRN: US1102982

- DOE Contract Number:
- AC05-06OR23177

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology

- Additional Journal Information:
- Journal Volume: 83; Journal Issue: 05; Journal ID: ISSN 1550-7998

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DISTRIBUTION; DISTRIBUTION FUNCTIONS; LORENTZ INVARIANCE; NUCLEONS; TRANSVERSE MOMENTUM

### Citation Formats

```
A.V. Efremov, P. Schweitzer, O.V. Teryaev, P. Zavada.
```*Relation between transverse momentum dependent distribution functions and parton distribution functions in the covariant parton model approach*. United States: N. p., 2011.
Web. doi:10.1103/PhysRevD.83.054025.

```
A.V. Efremov, P. Schweitzer, O.V. Teryaev, P. Zavada.
```*Relation between transverse momentum dependent distribution functions and parton distribution functions in the covariant parton model approach*. United States. https://doi.org/10.1103/PhysRevD.83.054025

```
A.V. Efremov, P. Schweitzer, O.V. Teryaev, P. Zavada. Tue .
"Relation between transverse momentum dependent distribution functions and parton distribution functions in the covariant parton model approach". United States. https://doi.org/10.1103/PhysRevD.83.054025. https://www.osti.gov/servlets/purl/1016080.
```

```
@article{osti_1016080,
```

title = {Relation between transverse momentum dependent distribution functions and parton distribution functions in the covariant parton model approach},

author = {A.V. Efremov, P. Schweitzer, O.V. Teryaev, P. Zavada},

abstractNote = {We derive relations between transverse momentum dependent distribution functions (TMDs) and the usual parton distribution functions (PDFs) in the 3D covariant parton model, which follow from Lorentz invariance and the assumption of a rotationally symmetric distribution of parton momenta in the nucleon rest frame. Using the known PDFs f_1(x) and g_1(x) as input we predict the x- and pT-dependence of all twist-2 T-even TMDs.},

doi = {10.1103/PhysRevD.83.054025},

url = {https://www.osti.gov/biblio/1016080},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},

issn = {1550-7998},

number = 05,

volume = 83,

place = {United States},

year = {2011},

month = {3}

}

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