Lattice QCD calculation of the pion charge radius using a model-independent method
We use a method to calculate the hadron’s charge radius without model-dependent momentum extrapolations. The method does not require the additional quark propagator inversions on the twisted boundary conditions or the computation of the momentum derivatives of quark propagators and thus is easy to implement. We apply this method to the calculation of pion charge radius $$\langle r^2_π\rangle$$. For comparison, we also determine $$\langle r^2_π\rangle$$ with the traditional approach of computing the slope of the form factors. The new method produces results consistent with those from the traditional method and with statistical errors 1.5–1.9 times smaller. For the four gauge ensembles at the physical pion masses, the statistical errors of $$\langle r^2_π\rangle$$ range from 2.1% to 4.6% by using ≲ 50 configurations. For the ensemble at $$m_π ≈$$ 340 MeV, the statistical uncertainty is even reduced to a subpercent level.
- Research Organization:
- Univ. of Connecticut, Storrs, CT (United States); Argonne National Laboratory (ANL), Argonne, IL (United States). Argonne Leadership Computing Facility (ALCF)
- Sponsoring Organization:
- USDOE Office of Science (SC); National Natural Science Foundation of China (NSFC)
- Grant/Contract Number:
- SC0010339; AC02-06CH11357; 11775002
- OSTI ID:
- 1606289
- Alternate ID(s):
- OSTI ID: 1802089
- Journal Information:
- Physical Review D, Vol. 101, Issue 5; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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