期刊
EUROPEAN PHYSICAL JOURNAL A
卷 53, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1140/epja/i2017-12368-4
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资金
- National Science Foundation (CAREER grant) [PHY-1452055]
- National Science Foundation (NSF/PIF grant) [1415459]
- GWU (startup grant)
- U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-AC05-06OR23177, DE-SC001658]
- German Research Foundation (DFG) [MA 7156/1-1]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1415459] Funding Source: National Science Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [1452055] Funding Source: National Science Foundation
The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. In this study 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. This property holds for energies above breakup and also in the presence of resonances in the sub-amplitudes.
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