期刊
PHYSICAL REVIEW D
卷 97, 期 11, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.97.114508
关键词
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资金
- CRC 110 Symmetries and the Emergence of Structure in QCD [TRR 110, 11621131001]
- CRC 1245 Nuclei: From Fundamental Interactions to Structure and Stars (DFG) [SFB 1245]
- BMBF [05P15RDFN1]
- National Science Foundation [PHY-1452055, PHY-1415459]
- U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-SC001658, DE-AC05-06OR23177]
- German Research Foundation (DFG) [MA 7156/1-1]
- George Washington University
- Volkswagenstiftung [93562]
- Shota Rustaveli National Science Foundation (SRNSF) [DI-2016-26]
- German Research Foundation (DFG)
- Division Of Physics
- Direct For Mathematical & Physical Scien [1415459, 1452055] Funding Source: National Science Foundation
The three-particle quantization condition is partially diagonalized in the center-of-mass frame by using cubic symmetry on the lattice. To this end, instead of spherical harmonics, the kernel of the Bethe-Salpeter equation for particle-dimer scattering is expanded in the basis functions of different irreducible representations of the octahedral group. Such a projection is of particular importance for the three-body problem in the finite volume due to the occurrence of three-body singularities above breakup. Additionally, we study the numerical solution and properties of such a projected quantization condition in a simple model. It is shown that, for large volumes, these solutions allow for an instructive interpretation of the energy eigenvalues in terms of bound and scattering states.
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