Xiu-Lei Ren, Li-Sheng Geng, Jie Meng
We present an analysis of the lowest-lying decuplet baryon masses in the covariant baryon chiral perturbation theory with the extended-on-mass-shell scheme up to next-to-next-to-next-to-leading order (N$^3$LO). In order to determine the 17 low-energy constants, we perform a simultaneous fit of the $n_f=2+1$ lattice data from the PACS-CS, QCDSF-UKQCD, and HSC Collaborations, with finite-volume corrections taking into account self-consistently. We show that up to N$^3$LO one can achieve a good description of the lattice and experimental data and an order-by-order improvement of the description is clearly seen. Surprisingly, we note that the current lattice decuplet baryon masses can be fitted rather well by the next-to-leading order baryon chiral perturbation theory, which, however, misses the experimental data a little bit. Furthermore, we predict the pion- and strangeness-sigma terms of the decuplet baryons by use of the Feynman-Hellman theorem.
View original:
http://arxiv.org/abs/1307.1896
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