Polarization Observables for Two-Pion Production off the Nucleon

Details Polarization Observables for Two-Pion Production off the Nucleon Polarization Observables for Two-Pion Production off the Nucleon

2004-10-03

arxiv.org/abs/nucl-th/0410012v1

Phys.Rev. C71 (2005) 055201

Physics

Nuclear Physics

Nuclear Theory

20 pages, using revtex4

Scientific paper

10.1103/PhysRevC.71.055201

We develop polarization observables for the processes $\gamma N\to\pi\pi N$ and $\pi N\to\pi\pi N$, using both a helicity and hybrid helicity-transversity basis. Such observables are crucial if processes that produce final states consisting of a spin-1/2 baryon and two pseudoscalar mesons are to be fully exploited for baryon spectroscopy. We derive relationships among the observables, as well as inequalities that they must satisfy. We also discuss the observables that must be measured in `complete' experiments, and briefly examine the prospects for measurement of some of these observables in the near future.

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