## Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods

## Abstract

In the factorized picture of semi-inclusive hadronic processes the naive time reversal-odd parton distributions exist by virtue of the gauge link which renders it color gauge invariant. The link characterizes the dynamical effect of initial/final-state interactions of the active parton due soft gluon exchanges with the target remnant. Though these interactions are non-perturbative, studies of final-state interaction have been approximated by perturbative one-gluon approximation in Abelian models. We include higher-order contributions by applying non-perturbative eikonal methods incorporating color degrees of freedom in a calculation of the Boer-Mulders function of the pion. Lastly, using this framework we explore under what conditions the Boer Mulders function can be described in terms of factorization of final state interactions and a spatial distribution in impact parameter space.

- Authors:

- Penn State Berks, Reading, PA; Inst. for Nuclear Theory, Seattle, WA (United States)
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

- Publication Date:

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

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

- OSTI Identifier:
- 983103

- Report Number(s):
- JLAB-THY-09-1104; DOE/OR/23177-1053; ARXIV:0911.1964

Journal ID: ISSN 0370-2693; PYLBAJ; TRN: US1004434

- Grant/Contract Number:
- AC05-06OR23177

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physics Letters. Section B

- Additional Journal Information:
- Journal Volume: 685; Journal ID: ISSN 0370-2693

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; COLOR; DEGREES OF FREEDOM; FACTORIZATION; FINAL-STATE INTERACTIONS; GLUONS; IMPACT PARAMETER; PIONS; SPATIAL DISTRIBUTION; TARGETS; transverse momentum parton distributions; final state interactions

### Citation Formats

```
Gamberg, Leonard, and Schlegel, Marc. Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods. United States: N. p., 2010.
Web. doi:10.1016/j.physletb.2009.12.067.
```

```
Gamberg, Leonard, & Schlegel, Marc. Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods. United States. doi:10.1016/j.physletb.2009.12.067.
```

```
Gamberg, Leonard, and Schlegel, Marc. Mon .
"Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods". United States. doi:10.1016/j.physletb.2009.12.067. https://www.osti.gov/servlets/purl/983103.
```

```
@article{osti_983103,
```

title = {Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods},

author = {Gamberg, Leonard and Schlegel, Marc},

abstractNote = {In the factorized picture of semi-inclusive hadronic processes the naive time reversal-odd parton distributions exist by virtue of the gauge link which renders it color gauge invariant. The link characterizes the dynamical effect of initial/final-state interactions of the active parton due soft gluon exchanges with the target remnant. Though these interactions are non-perturbative, studies of final-state interaction have been approximated by perturbative one-gluon approximation in Abelian models. We include higher-order contributions by applying non-perturbative eikonal methods incorporating color degrees of freedom in a calculation of the Boer-Mulders function of the pion. Lastly, using this framework we explore under what conditions the Boer Mulders function can be described in terms of factorization of final state interactions and a spatial distribution in impact parameter space.},

doi = {10.1016/j.physletb.2009.12.067},

journal = {Physics Letters. Section B},

number = ,

volume = 685,

place = {United States},

year = {2010},

month = {1}

}

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