Three-body unitarity with isobars revisited
Abstract
The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. Here, we start from the 3->3 scattering amplitude for spinless particles, which contains an isobar-spectator scattering amplitude. Using a Bethe-Salpeter Ansatz for the latter, we derive a relativistic three-dimensional scattering equation that manifestly fulfills three-body unitarity and two-body unitarity for the sub-amplitudes. Furthermore, this property holds for energies above breakup and also in the presence of resonances in the sub-amplitudes.
- Authors:
-
- George Washington Univ., Washington, DC (United States)
- George Washington Univ., Washington, DC (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Indiana Univ., Bloomington, IN (United States). Center for Exploration of Energy and Matter, Physics Dept.
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
- OSTI Identifier:
- 1389749
- Report Number(s):
- JLAB-THY-17-2496; DOE/OR/23177-4206; arXiv:1706.06118
Journal ID: ISSN 1434-6001; PII: 920
- Grant/Contract Number:
- AC05-06OR23177; SC001658; PHY-1452055; 1415459
- Resource Type:
- Accepted Manuscript
- Journal Name:
- European Physical Journal. A
- Additional Journal Information:
- Journal Volume: 53; Journal Issue: 9; Journal ID: ISSN 1434-6001
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Mai, M., Hu, B., Döring, M., Pilloni, A., and Szczepaniak, A. Three-body unitarity with isobars revisited. United States: N. p., 2017.
Web. doi:10.1140/epja/i2017-12368-4.
Mai, M., Hu, B., Döring, M., Pilloni, A., & Szczepaniak, A. Three-body unitarity with isobars revisited. United States. https://doi.org/10.1140/epja/i2017-12368-4
Mai, M., Hu, B., Döring, M., Pilloni, A., and Szczepaniak, A. Fri .
"Three-body unitarity with isobars revisited". United States. https://doi.org/10.1140/epja/i2017-12368-4. https://www.osti.gov/servlets/purl/1389749.
@article{osti_1389749,
title = {Three-body unitarity with isobars revisited},
author = {Mai, M. and Hu, B. and Döring, M. and Pilloni, A. and Szczepaniak, A.},
abstractNote = {The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. Here, we start from the 3->3 scattering amplitude for spinless particles, which contains an isobar-spectator scattering amplitude. Using a Bethe-Salpeter Ansatz for the latter, we derive a relativistic three-dimensional scattering equation that manifestly fulfills three-body unitarity and two-body unitarity for the sub-amplitudes. Furthermore, this property holds for energies above breakup and also in the presence of resonances in the sub-amplitudes.},
doi = {10.1140/epja/i2017-12368-4},
journal = {European Physical Journal. A},
number = 9,
volume = 53,
place = {United States},
year = {Fri Sep 08 00:00:00 EDT 2017},
month = {Fri Sep 08 00:00:00 EDT 2017}
}
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