Work

I = 2 π π s -wave scattering length from lattice QCD

Year: 2024

Type: article

Abstract: The I = 2 π π elastic s -wave scattering phase shift is measured by lattice quantum chromodynamics with N f = 3 flavors of the Asqtad-improved staggered fermions. The lattice-calculated energy-eigenvalues of π π systems at one center of mass frame and some moving frames using the moving wall source technique are utilized to secure phase shifts by Lüscher’s formula. Our computations are fine enough to obtain threshold parameters: scattering length a , effective range r , and shape parameter P , which can be extrapolated at the physical point by next-to-leading order in chiral perturbation theory, and our relevant next-to-next-to-leading order predictions from expanding nuclear physics with lattice quantum chromo dynamics collaboration’s works are novelly considered as the systematic uncertainties. Our outcomes are consistent with Roy equation determinations, newer experimental data, and lattice estimations. Numerical computations are performed with a coarse ( a ≈ 0.12 fm , L 3 T = 3 2 3 64 ), two fine ( a ≈ 0.09 fm , L 3 T = 4 0 3 96 ) and a superfine ( a ≈ 0.06 fm , L 3 T = 4 8 3 144 ) lattice ensembles at four pion masses of m π ∼ 247 MeV , 249 MeV, 275 MeV, and 384 MeV, respectively. Published by the American Physical Society 2024

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.110.074513

Authors: Ziwen Fu, Jun Wang

Institution: Sichuan University

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Natural Science Foundation of China, Sichuan University, National Magnetic Confinement Fusion Program of China, Fundamental Research Funds for the Central Universities

Awards: G1482401688, G3081354097, G3570784999, G7310684046