Non-diagonal DVCS and transition GPDs: A unified framework for spinless hadron case $γ^* π\to γππ$
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913677681098752 |
|---|---|
| author | Son, Sangyeong Semenov-Tian-Shansky, Kirill M. |
| author_facet | Son, Sangyeong Semenov-Tian-Shansky, Kirill M. |
| contents | Hadron-to-two-hadron transition generalized parton distributions (GPDs) extend the concept of hadron-to-resonance transition GPDs and provide a unified description of non-diagonal hard exclusive reactions in the generalized Bjorken limit. We present the formalism for the case of spinless hadrons addressing the non-diagonal deeply virtual Compton scattering $γ^*π\toγππ$ in terms of $π\toππ$ transition GPDs, which generalize GPDs for $π\to f_0, \, ρ, \, f_2, \, \cdots$ transitions. We work out the basic properties of $π\toππ$ transition GPDs and establish the soft pion theorems at the $2π$ production threshold. We construct the partial wave expansion of $π\toππ$ transition GPDs in the two-pion decay angles and employ the dispersive approach to constrain $π\toππ$ transition GPDs in terms of $ππ$-scattering phases with help of the Omnès representation. We estimate the $e^-π^+ \to e^- γπ^+ π^0$ cross section in the kinematics of the JLab@12 GeV incorporating the isolated $ρ(770)$ resonance state and work out the angular distributions of the cross section, specifying the observables sensitive to the polarization states of the produced $ρ(770)$ resonance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11388 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-diagonal DVCS and transition GPDs: A unified framework for spinless hadron case $γ^* π\to γππ$ Son, Sangyeong Semenov-Tian-Shansky, Kirill M. High Energy Physics - Phenomenology Nuclear Theory Hadron-to-two-hadron transition generalized parton distributions (GPDs) extend the concept of hadron-to-resonance transition GPDs and provide a unified description of non-diagonal hard exclusive reactions in the generalized Bjorken limit. We present the formalism for the case of spinless hadrons addressing the non-diagonal deeply virtual Compton scattering $γ^*π\toγππ$ in terms of $π\toππ$ transition GPDs, which generalize GPDs for $π\to f_0, \, ρ, \, f_2, \, \cdots$ transitions. We work out the basic properties of $π\toππ$ transition GPDs and establish the soft pion theorems at the $2π$ production threshold. We construct the partial wave expansion of $π\toππ$ transition GPDs in the two-pion decay angles and employ the dispersive approach to constrain $π\toππ$ transition GPDs in terms of $ππ$-scattering phases with help of the Omnès representation. We estimate the $e^-π^+ \to e^- γπ^+ π^0$ cross section in the kinematics of the JLab@12 GeV incorporating the isolated $ρ(770)$ resonance state and work out the angular distributions of the cross section, specifying the observables sensitive to the polarization states of the produced $ρ(770)$ resonance. |
| title | Non-diagonal DVCS and transition GPDs: A unified framework for spinless hadron case $γ^* π\to γππ$ |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2410.11388 |