| Title: |
Light-by-light scattering sum rule for radiative transitions of bottomonia |
| Authors: |
Ananyev, Victor |
| Contributors: |
Danilkin, Igor; Vanderhaeghen, Marc |
| Publisher Information: |
APS |
| Publication Year: |
2020 |
| Collection: |
SCOAP3 Repository (Sponsoring Consortium for Open Access Publishing in Particle Physics) |
| Description: |
We generalize a forward light-by-light scattering sum rule to the case of heavy quarkonium radiative transitions. We apply such a sum rule to the bottomonium states, and use available data on radiative transitions in its evaluation. For the transitions that are not known experimentally, we provide theoretical estimates within a potential model, and consider the spread between similar approaches in the literature as an estimate for the model error. For the ϒ ( 1 S ) , ϒ ( 2 S ) , and ϒ ( 3 S ) states we observe that, due to a cancellation between transitions involving χ b 0 , χ b 1 , and χ b 2 states, the sum rule is satisfied within experimental and theoretical error estimates. Having tested this sum rule for the low-lying bottomonium states, it may be used as a tool to investigate the nature of exotic states in the charmonium and bottomonium spectrum through the corresponding radiative transitions. |
| Document Type: |
article in journal/newspaper |
| File Description: |
pdf; xml |
| Language: |
unknown |
| Relation: |
Physical Review |
| DOI: |
10.1103/PhysRevD.102.096019 |
| DOI: |
10.1103/PhysRevD.102.096019.pdf |
| DOI: |
10.1103/PhysRevD.102.096019.xml |
| Availability: |
https://doi.org/10.1103/PhysRevD.102.096019; http://repo.scoap3.org/api/files/0c224f28-ea6b-4300-869b-572357d29e9e/10.1103/PhysRevD.102.096019.pdf; http://repo.scoap3.org/api/files/0c224f28-ea6b-4300-869b-572357d29e9e/10.1103/PhysRevD.102.096019.xml |
| Rights: |
CC-BY-4.0 ; https://creativecommons.org/licenses/by/4.0/ ; 2020 |
| Accession Number: |
edsbas.BABC2AF2 |
| Database: |
BASE |