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# Heavy baryon chiral perturbation theory with light deltas

#### Abstract

We demonstrate how the heavy baryon method, previously applied to chiral perturbation theory calculations involving the interactions of nucleons and pions, can be generalized to include interactions with the first nucleon resonance--$\Delta$(1232). The formalism is developed in terms of a small scale $\delta$ expansion, which refers to soft momenta, the pion mass and the nucleon-delta mass splitting $\Delta$ = $M\sb{\Delta} - M\sb{N}$. First applications of this chiral theory are presented, in particular the calculation of mass and wavefunction renormalization, threshold neutral pion photoproduction, and forward Compton scattering. ^

#### Subject Area

Physics, Nuclear|Physics, Elementary Particles and High Energy

#### Recommended Citation

Thomas Robert Hemmert, "Heavy baryon chiral perturbation theory with light deltas" (January 1, 1997). Electronic Doctoral Dissertations for UMass Amherst. Paper AAI9809346.
http://scholarworks.umass.edu/dissertations/AAI9809346

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