In recent years, different on-shell 3 -> 3 scattering formalisms have been proposed to be applied to both lattice QCD and infinite-volume scattering processes. We prove that the formulation in the infinite volume presented by Hansen and Sharpe in [M. T. Hansen and S. R. Sharpe, Phys. Rev. D 92, 114509 (2015).] and subsequently Briceno et al. in [R. A. Briceno, M. T. Hansen, and S. R. Sharpe, Phys. Rev. D 95, 074510 (2017).] can be recovered from the B-matrix representation, derived on the basis of S-matrix unitarity, presented by Mai et al. in [M. Mai, B. Hu, M. Doring, A. Pilloni, and A. Szczepaniak, Eur. Phys. J. A 53, 177 (2017).] and Jackura et al. in [A. Jackura, C. Fernandez-Ramirez, V. Mathieu, M. Mikhasenko, J. Nys, A. Pilloni, K. Saldana, N. Sherrill, and A. P. Szczepaniak (JPAC Collaboration), Eur. Phys. J. C 79, 56 (2019).] Therefore, both formalisms in the infinite volume are equivalent and the physical content is identical. Additionally, the Faddeev equations are recovered in the nonrelativistic limit of both representations.

Equivalence of three-particle scattering formalisms / Jackura, A.  W.; Dawid, S.  M.; Fernández-Ramírez, C.; Mathieu, V.; Mikhasenko, M.; Pilloni, A.; Sharpe, S.  R.; Szczepaniak, A.  P.. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 100:3(2019). [10.1103/PhysRevD.100.034508]

Equivalence of three-particle scattering formalisms

Pilloni, A.;
2019

Abstract

In recent years, different on-shell 3 -> 3 scattering formalisms have been proposed to be applied to both lattice QCD and infinite-volume scattering processes. We prove that the formulation in the infinite volume presented by Hansen and Sharpe in [M. T. Hansen and S. R. Sharpe, Phys. Rev. D 92, 114509 (2015).] and subsequently Briceno et al. in [R. A. Briceno, M. T. Hansen, and S. R. Sharpe, Phys. Rev. D 95, 074510 (2017).] can be recovered from the B-matrix representation, derived on the basis of S-matrix unitarity, presented by Mai et al. in [M. Mai, B. Hu, M. Doring, A. Pilloni, and A. Szczepaniak, Eur. Phys. J. A 53, 177 (2017).] and Jackura et al. in [A. Jackura, C. Fernandez-Ramirez, V. Mathieu, M. Mikhasenko, J. Nys, A. Pilloni, K. Saldana, N. Sherrill, and A. P. Szczepaniak (JPAC Collaboration), Eur. Phys. J. C 79, 56 (2019).] Therefore, both formalisms in the infinite volume are equivalent and the physical content is identical. Additionally, the Faddeev equations are recovered in the nonrelativistic limit of both representations.
2019
three body scattering; scattering theory; strong interactions
01 Pubblicazione su rivista::01a Articolo in rivista
Equivalence of three-particle scattering formalisms / Jackura, A.  W.; Dawid, S.  M.; Fernández-Ramírez, C.; Mathieu, V.; Mikhasenko, M.; Pilloni, A.; Sharpe, S.  R.; Szczepaniak, A.  P.. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 100:3(2019). [10.1103/PhysRevD.100.034508]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1315844
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