Built on

J. Gasser and H. Leutwyler, Annals Phys. 158
1984
Earlier work this paper cites.
M. Luscher, Commun. Math. Phys. 105
1986
Earlier work this paper cites.
T. N. Truong, Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
M. Luscher, Nucl. Phys. B 354
1991
Earlier work this paper cites.
P. F. Bedaque and H. W. Griesshammer, Nucl. Phys. A 671
2000
Earlier work this paper cites.
S. R. Beane, W. Detmold, T. C. Luu, K. Orginos, M. J. Savage and A. Torok, Phys. Rev. Lett. 100
Original
2008
Earlier work this paper cites.
W. Detmold, M. J. Savage, A. Torok, S. R. Beane, T. C. Luu, K. Orginos and A. Parreno, Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
W. Detmold and M. J. Savage, Phys. Rev. D 77
Original
2008
Earlier work this paper cites.
P. C. Bruns, M. Mai and U. G. Meißner, Phys. Lett. B 697
Original
2011
Earlier work this paper cites.
S. Bour, H.-W. Hammer, D. Lee and U. G. Meißner, Phys. Rev. C 86
Original
2012
Earlier work this paper cites.
S. Kreuzer and H. W. Grießhammer, Eur. Phys. J. A 48
Original
2012
Earlier work this paper cites.

Similar

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Original
2012
Cited alongside, same era.
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Original
2013
Cited alongside, same era.
M. T. Hansen and S. R. Sharpe, Phys. Rev. D 92
Original
2015
Cited alongside, same era.
U. G. Meißner, G. Ríos and A. Rusetsky, Phys. Rev. Lett. 114
Original
2016
Cited alongside, same era.
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Original
2016
Cited alongside, same era.

Then

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Original
2017
Later among the works it cites.
M. T. Hansen and S. R. Sharpe, Phys. Rev. D 95
Original
2017
Later among the works it cites.
M. T. Hansen and S. R. Sharpe, Phys. Rev. D 93
Original
2017
Later among the works it cites.
M. T. Hansen, H. B. Meyer and D. Robaina, Phys. Rev. D 96
Original
2017
Later among the works it cites.
M. Mai, B. Hu, M. Doring, A. Pilloni and A. Szczepaniak, Eur. Phys. J. A 53
Original
2017
Later among the works it cites.

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2018

3-body quantization condition in a unitary formalism

Mai, Maxim

Understand

Unitarity identifies all power-law finite-volume effects and is, therefore, the crucial S-matrix principle for a mapping between experimental results and those of Lattice QCD calculations.

In this contribution we review how 3-body unitarity constrains the form of the 3-body scattering amplitude parametrized by the tower of isobars.
The result is discretized and projected to the irreducible representations of the cubic group, leading to a fully relativistic 3-body quantization condition.
The latter is used to deduce the finite-volume excited level spectrum of the $\pi^+\pi^+\pi^+$ system, which agrees nicely with the available lattice results by the NPLQCD collaboration.