Pion-Nucleon Sigma Term from Lattice QCD

Gupta, Rajan; Park, Sungwoo; Hoferichter, Martin; Mereghetti, Emanuele; Yoon, Boram; Bhattacharya, Tanmoy (2021). Pion-Nucleon Sigma Term from Lattice QCD. Physical review letters, 127(24), p. 242002. American Physical Society 10.1103/PhysRevLett.127.242002

Preview

Text PhysRevLett.127.242002.pdf - Published Version Available under License Creative Commons: Attribution (CC-BY). Download (655kB) | Preview

We present an analysis of the pion-nucleon σ-term σπN using six ensembles with 2 þ 1 þ 1-flavor highly improved staggered quark action generated by the MILC Collaboration. The most serious systematic effect in lattice calculations of nucleon correlation functions is the contribution of excited states. We estimate these using chiral perturbation theory (χPT) and show that the leading contribution to the isoscalar scalar charge comes from Nπ and Nππ states. Therefore, we carry out two analyses of lattice data to remove excited-state contamination, the standard one and a new one including Nπ and Nππ states. We find that the standard analysis gives σπN ¼ 41.9ð4.9Þ MeV, consistent with previous lattice calculations, while our preferred χPT-motivated analysis gives σπN ¼ 59.6ð7.4Þ MeV, which is consistent with phenomenological values obtained using πN scattering data. Our data on one physical pion mass ensemble were crucial for exposing this difference, therefore, calculations on additional physical mass ensembles are needed to confirm our result and resolve the tension between lattice QCD and phenomenology

Interest & Impact

Downloads

24 since deposited on 23 Mar 2022
21 in the past 12 months

Citations

5 Citations in Web of Science ®
6 Citations in Scopus

Search

in Google Scholar™

Services

Actions (login required)

Edit item

Actions (login required)

Edit item