REVIEW 5 cited by
Three particles in a finite volume
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
read the original abstract
Within the non-relativistic potential scattering theory, we derive a generalized version of the L\"uscher formula, which includes three-particle inelastic channels. Faddeev equations in a finite volume are discussed in detail. It is proved that, even in the presence of the three-particle intermediate states, the discrete spectrum in a finite box is determined by the infinite-volume elements of the scattering S-matrix up to corrections, exponentially suppressed at large volumes.
Forward citations
Cited by 5 Pith papers
-
Jacobi Coordinates on Hyper-tori and Geometric Factors in the Volume Dependencies
The finite-volume energy shift of a clustered nucleus is the point-like two-body shift multiplied by a geometric factor that counts spin-isospin cluster partitions, and this factor is essential for extracting ANCs.
-
Constructing Effective Interactions via Projection-Based Inversion
Discrete energy levels from truncated many-body calculations are inverted, via a Multiparameter Eigenvalue Problem emulator, into effective contact interactions that yield scattering phase shifts and resonance predictions.
-
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.
-
Toward extracting scattering phase shift from integrated correlation functions IV: Coulomb corrections
By subtracting the pure-Coulomb correlation function from the Coulomb-plus-short-range one, the authors derive a divergence-free integral relation to short-range phase shifts and verify it in an exactly solvable model.
Discussion (0). Sign in to comment.