Anomalous mapping between pionfull and pionless EFT's

Abstract

The pion contributions to the coupling $C_0$ of pionless EFT are studied via both non-relativistic and relativistic forms of chiral effective field theory for nuclear forces. A definite item in the $2N$-reducible component of the box diagram is shown to be dominant over the $2N$-irreducible (potential) ones due to the pinching of low-lying nucleon poles, and this anomalous mapping between pionless and pionfull EFT's occurs right within the non-relativistic regime. A natural strategy for renormalization of the pionfull theory emerges as a byproduct through the interactive analysis of the box diagram. Such mapping perspective may shed some light on the efficient organization of the pionfull effective field theory for nuclear forces.

revised version, 12 pages, 2 tables, 2 figures

References in corpus (11)

• Chiral effective field theory and nuclear forces
• Renormalization of Singular Potentials and Power Counting
• Weinberg's approach to nucleon-nucleon scattering revisited
• Improved convergence of chiral effective field theory for 1S0 of NN scattering
• Taking dibaryon fields seriously
• The nucleon-nucleon potential beyond the static approximation
• Renormalization of NN Interaction with Relativistic Chiral Two Pion Exchange
• $N\bar{N}$ Scattering at NLO Order in An Effective Theory
• A nonperturbative parametrization and scenario for EFT renormalization
• A note on nonperturbative renormalization of effective field theory
• Effective range expansion in various scenarios of EFT($\notpi$)