The pion-nucleon sigma term from Lattice QCD
R. Gupta*, T. Bhattacharya, M. Hoferichter, E. Mereghetti, S. Park and B. Yoon
Pre-published on:
February 07, 2024
Published on:
March 07, 2024
Abstract
We summarize recent evidence, both from lattice QCD and chiral perturbation theory, that suggests that larger-than-expected excited-state contamination could be the reason for the tension between phenomenological determinations and previous direct lattice-QCD calculations of the pion--nucleon sigma term $\sigma_{\pi N}$. In addition, we extend the $\chi$PT analysis by calculating the corrections due to including the $\Delta(1232)$ resonance as an explicit degree of freedom. This correction is found to be small, thereby corroborating the excited-state effects found in the $\Delta$-less calculation and the result for $\sigma_{\pi N}$.
DOI: https://doi.org/10.22323/1.413.0060
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