Baryon self energies in the chiral loop expansion

Details Baryon self energies in the chiral loop expansion Baryon self energies in the chiral loop expansion

2005-11-23

arxiv.org/abs/nucl-th/0511061v2

Nucl.Phys.A778:153-180,2006

Physics

Nuclear Physics

Nuclear Theory

36 pages, 4 figures, 8 tables. The revised manuscript contains a proof that given any one-loop integral that arises when compu

Scientific paper

10.1016/j.nuclphysa.2006.07.043

We compute the self energies of the baryon octet and decuplet states at the one-loop level applying the manifestly covariant chiral Lagrangian. It is demonstrated that expressions consistent with the expectation of power counting rules arise if the self energies are decomposed according to the Passarino-Veltman scheme supplemented by a minimal subtraction. This defines a partial summation of the chiral expansion. A finite renormalization required to install chiral power counting rules leads to the presence of an infrared renormalization scale. Good convergence properties for the chiral loop expansion of the baryon octet and decuplet masses are obtained for natural values of the infrared scale. A prediction for the strange-quark matrix element of the nucleon is made.

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