# Baryon to meson transition distribution amplitudes and their spectral representation

## Abstract

We consider the problem of construction of a spectral representation for nucleon to meson transition distribution amplitudes (TDAs), non-diagonal matrix elements of nonlocal three quark operators between a nucleon and a meson states. We introduce the notion of quadruple distributions and generalize Radyshkin's factorized Ansatz for this issue. Modelling of baryon to meson TDAs in the complete domain of their definition opens the way to quantitative estimates of cross-sections for various hard exclusive reactions.

- Authors:

- CPhT, Ecole Polytechnique, CNRS, 91128, Palaiseau (France)
- (France)
- Soltan Institute for Nuclear Studies, Warsaw (Poland)

- Publication Date:

- OSTI Identifier:
- 21608229

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 1350; Journal Issue: 1; Conference: DIFFRACTION 2010: International workshop on diffraction in high energy physics, Otranto (Italy), 10-15 Sep 2010; Other Information: DOI: 10.1063/1.3601415; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CROSS SECTIONS; ELECTROMAGNETIC FORM FACTORS; ELECTROPRODUCTION; EXCLUSIVE INTERACTIONS; MATRIX ELEMENTS; MESONS; NUCLEONS; QUARK MODEL; QUARKS; BARYONS; BASIC INTERACTIONS; BOSONS; COMPOSITE MODELS; DIMENSIONLESS NUMBERS; ELECTROMAGNETIC INTERACTIONS; ELEMENTARY PARTICLES; FERMIONS; FORM FACTORS; HADRONS; INTERACTIONS; MATHEMATICAL MODELS; PARTICLE INTERACTIONS; PARTICLE MODELS; PARTICLE PRODUCTION; PARTICLE PROPERTIES

### Citation Formats

```
Pire, B., Semenov-Tian-Shansky, K., LPT, Universite d'Orsay, CNRS, 91404 Orsay, and Szymanowski, L.
```*Baryon to meson transition distribution amplitudes and their spectral representation*. United States: N. p., 2011.
Web. doi:10.1063/1.3601415.

```
Pire, B., Semenov-Tian-Shansky, K., LPT, Universite d'Orsay, CNRS, 91404 Orsay, & Szymanowski, L.
```*Baryon to meson transition distribution amplitudes and their spectral representation*. United States. doi:10.1063/1.3601415.

```
Pire, B., Semenov-Tian-Shansky, K., LPT, Universite d'Orsay, CNRS, 91404 Orsay, and Szymanowski, L. Fri .
"Baryon to meson transition distribution amplitudes and their spectral representation". United States. doi:10.1063/1.3601415.
```

```
@article{osti_21608229,
```

title = {Baryon to meson transition distribution amplitudes and their spectral representation},

author = {Pire, B. and Semenov-Tian-Shansky, K. and LPT, Universite d'Orsay, CNRS, 91404 Orsay and Szymanowski, L.},

abstractNote = {We consider the problem of construction of a spectral representation for nucleon to meson transition distribution amplitudes (TDAs), non-diagonal matrix elements of nonlocal three quark operators between a nucleon and a meson states. We introduce the notion of quadruple distributions and generalize Radyshkin's factorized Ansatz for this issue. Modelling of baryon to meson TDAs in the complete domain of their definition opens the way to quantitative estimates of cross-sections for various hard exclusive reactions.},

doi = {10.1063/1.3601415},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 1350,

place = {United States},

year = {2011},

month = {7}

}

DOI: 10.1063/1.3601415

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