1301.2651 (J. -F. Yang)

Anomalous mapping between pionfull and pionless EFT's    [PDF]

J. -F. Yang

The pion contributions to leading contact coupling of pionless EFT are studied via interactive use of non-relativistic and relativistic formulations of chiral effective field theory for nuclear forces. The dominant contribution is shown to come from a definite item in the 2N-reducible (iteration of OPE) component of the planar box diagram, not from the 2N-irreducible (TPE potential) component. Such anomalous mapping between pionless and pionfull EFT's occurs right within non-relativistic regime of pionfull theory. This mapping perspective may be able to shed some light on the subtle structures and renormalization of the pionfull effective field theory for nuclear forces.

View original: http://arxiv.org/abs/1301.2651