Complete set of observables for photoproduction of two pseudoscalars on a nucleon

Abstract

The problem of determining completely the spin amplitudes of photoproduction of two pseudoscalar mesons on a nucleon from observables is studied. The procedure of reconstruction of the scattering matrix elements from a complete set of observables is based on the expressions of all observables as quadratic Hermitian forms in the reaction matrix elements which are derived explicitly. Their inversion allows one to find explicit solutions for the reaction matrix elements in terms of observables. Two methods for finding a complete set of observables are presented. In particular, one set was found that does not contain a triple polarization observable.

Original language	English
Article number	034003
Journal	Physical Review C - Nuclear Physics
Volume	89
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevC.89.034003
Publication status	Published - 17 Mar 2014

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevC.89.034003

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abstract = "The problem of determining completely the spin amplitudes of photoproduction of two pseudoscalar mesons on a nucleon from observables is studied. The procedure of reconstruction of the scattering matrix elements from a complete set of observables is based on the expressions of all observables as quadratic Hermitian forms in the reaction matrix elements which are derived explicitly. Their inversion allows one to find explicit solutions for the reaction matrix elements in terms of observables. Two methods for finding a complete set of observables are presented. In particular, one set was found that does not contain a triple polarization observable.",

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AB - The problem of determining completely the spin amplitudes of photoproduction of two pseudoscalar mesons on a nucleon from observables is studied. The procedure of reconstruction of the scattering matrix elements from a complete set of observables is based on the expressions of all observables as quadratic Hermitian forms in the reaction matrix elements which are derived explicitly. Their inversion allows one to find explicit solutions for the reaction matrix elements in terms of observables. Two methods for finding a complete set of observables are presented. In particular, one set was found that does not contain a triple polarization observable.

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Complete set of observables for photoproduction of two pseudoscalars on a nucleon

Abstract

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