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 | |
| Publication status | Published - 17 Mar 2014 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Complete set of observables for photoproduction of two pseudoscalars on a nucleon. / Arenhövel, H.; Fix, A.
In: Physical Review C - Nuclear Physics, Vol. 89, No. 3, 034003, 17.03.2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Complete set of observables for photoproduction of two pseudoscalars on a nucleon
AU - Arenhövel, H.
AU - Fix, A.
PY - 2014/3/17
Y1 - 2014/3/17
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=84898801357&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84898801357&partnerID=8YFLogxK
U2 - 10.1103/PhysRevC.89.034003
DO - 10.1103/PhysRevC.89.034003
M3 - Article
VL - 89
JO - Physical Review C
JF - Physical Review C
SN - 0556-2813
IS - 3
M1 - 034003
ER -