Nucleon mass and sigma term from lattice QCD with two light fermion flavors

Bali, G. S. and Bruns, P. C. and Collins, S. and Deka, M. and Glaessle, B. and Goeckeler, M. and Greil, L. and Hemmert, T. R. and Horsley, R. and Najjar, J. and Nakamura, Y. and Nobile, A. and Pleiter, D. and Rakow, P. E. L. and Schaefer, A. and Schiel, R. and Schierholz, G. and Sternbeck, A. and Zanotti, J. (2013) Nucleon mass and sigma term from lattice QCD with two light fermion flavors. NUCLEAR PHYSICS B, 866 (1). pp. 1-25. ISSN 0550-3213, 1873-1562

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Abstract

We analyze N-f = 2 nucleon mass data with respect to their dependence on the pion mass down to m(pi) = 157 MeV and compare it with predictions from covariant baryon chiral perturbation theory (BChPT). A novel feature of our approach is that we fit the nucleon mass data simultaneously with the directly obtained pion nucleon sigma-term. Our lattice data below m(pi) = 435 MeV is well described by O(p(4)) BChPT and we find sigma = 37(8)(6) MeV for the a-term at the physical point. Using the nucleon mass to set the scale we obtain a Sommer parameter of r(0) = 0.501(10)(11) fm. (C) 2012 Elsevier B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: CHIRAL PERTURBATION-THEORY; ONE-LOOP; EXPANSION; ORDER; Nucleon mass; Pion-nucleon sigma term; Sommer scale; Covariant baryon chiral perturbation theory; Finite size corrections
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 30 Apr 2020 06:21
Last Modified: 30 Apr 2020 06:21
URI: https://pred.uni-regensburg.de/id/eprint/17570

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