REVIEW 3 cited by
The energy-dependent $\pi^+ \pi^+ \pi^+$ scattering amplitude from QCD
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
Focusing on three-pion states with maximal isospin ($\pi^+\pi^+\pi^+$), we present the first non-perturbative determination of an energy-dependent three-hadron scattering amplitude from first-principles QCD. The calculation combines finite-volume three-hadron energies, extracted using numerical lattice QCD, with a relativistic finite-volume formalism, required to interpret the results. To fully implement the latter, we also solve integral equations that relate an intermediate three-body K matrix to the physical three-hadron scattering amplitude. The resulting amplitude shows rich analytic structure and a complicated dependence on the two-pion invariant masses, represented here via Dalitz-like plots of the scattering rate.
Forward citations
Cited by 3 Pith papers
-
Production Effects and Final-state Interactions in $\pi_1 \to 3\pi$
A Khuri-Treiman model with contact and one-pion-exchange production terms fits COMPASS's π1→3π freed-isobar data and produces a smooth 1.6 GeV structure in the extracted production strengths.
-
Coupled-channel approach to isotensor $\pi\pi\pi$ scattering from lattice QCD
The I=2 three-pion spectrum from lattice QCD is described by a repulsive rho-pi S-wave interaction, consistent with a leading-order effective Lagrangian.
-
Symmetrizing relativistic three-body partial wave amplitudes
The authors derive spectator-symmetric three-body partial wave amplitudes using new recoupling coefficients for arbitrary angular momentum and isospin, and demonstrate them with 3π Dalitz distributions.
Discussion (0). Sign in to comment.