REVIEW 4 cited by
Solving the left-hand cut problem in lattice QCD: T_(cc)(3875)^+ from finite volume energy levels
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
Solving the left-hand cut problem in lattice QCD: T_(cc)(3875)^+ from finite volume energy levels
read the original abstract
We discuss a novel effective-field-theory-based approach for extracting two-body scattering information from finite volume energies, serving as an alternative to L\"uscher's method. By explicitly incorporating one-pion exchange, we overcome the challenging left-hand cut problem in L\"uscher's method and can handle finite volume energy levels both below and above the left-hand cut. Applied to the lattice data for $DD^*$ scattering at a pion mass of 280 MeV, as an illustrative example, our results reveal the significant impact of the one-pion exchange on P-wave and S-wave phase shifts. The pole position of the $T_{cc}(3875)^+$ state, extracted from the finite-volume energy levels at this pion mass while taking into account left-hand cut effects, range corrections and partial-wave mixing, is consistent with a near-threshold resonance. This study demonstrates, for the first time, that two-body scattering information can be reliably extracted from lattice spectra including the left-hand cut.
Forward citations
Cited by 4 Pith papers
-
Two-nucleon systems at $m_{\pi}\approx292$ MeV from lattice QCD
At m_pi ≈ 292 MeV, lattice QCD finds virtual-state poles, not bound states, in both the 3S1 and 1S0 nucleon-nucleon channels.
-
Effective Range Expansion with the Left-Hand Cut: Higher Order Improvements
Extended the generalized effective-range expansion, including the left-hand cut from one-particle exchange, to O(k^6) with a new relativistic version, validated against exact Yukawa-potential solutions of the Lippmann...
-
Analytic decomposition of two-body electroweak processes with left-hand cuts
An on-shell decomposition of 2+J o2 electroweak amplitudes isolates OPE poles, logs, and triangle singularities, leaving only smooth short-distance functions.
-
Two-nucleon systems at $m_{\pi}\approx292$ MeV from lattice QCD
Lattice QCD at m_pi≈292 MeV finds virtual poles in the ^3S1 and ^1S0 NN channels with binding energies 6^{+5}_{-3} MeV and 11^{+6}_{-5} MeV, extracted via Lüscher and NPHF analyses.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.