RT Journal Article
T1 Equivalence of three-particle scattering formalisms
A1 Jackura, A.
A1 Dawid, S. M.
A1 Fernández Ramírez, C.
A1 Mathieu, Vincent
A1 Mikhasenko, M.
A1 Pilloni, A.
A1 Sharpe, S. R.
A1 Szczepaniak, A. P.
AB 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 Briceño et al. in [R. A. Briceño, 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. Döring, A. Pilloni, and A. Szczepaniak, Eur. Phys. J. A 53, 177 (2017).] and Jackura et al. in [A. Jackura, C. Fernández-Ramírez, V. Mathieu, M. Mikhasenko, J. Nys, A. Pilloni, K. Saldaña, 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.
PB Springer
SN 2470-0010
YR 2019
FD 2019-08-13
LK https://hdl.handle.net/20.500.14352/12875
UL https://hdl.handle.net/20.500.14352/12875
LA eng
NO U.S. Department of Energy
NO U.S. National Science Foundation
NO CONACYT (Mexico)
DS Docta Complutense
RD 18 jul 2024