[Hybrid baryons] Legendre moments

burkert burkert at jlab.org
Fri Sep 11 09:49:16 EDT 2015


All,

  Attached is the promised graph. It shows 3 Legendre moments D0, D1, D2 
for K^+-Lambda photoproduction. D0 is just the total cross section. The 
thin red lines indicate the position of resonances found by the BnGa 
analysis. D1 is sensitive to Leg. polynomial P1 = cos(theta) of cross 
section and D2 to polynomial P2 = 1/2(3cos(theta)^2-1). One sees in the 
first graph indications of resonance peaks at 1.7 and 1.9 GeV. The D1 
and D2 moments show very rapid changes near the positions of the 
resonance masses. D1 indicates an interference of 1/2-(N1650) and 
1/2+(N1710) states with the blue arrow indicating a resonance near 
1.7GeV. D2 shows the N(1900)3/2^+ with the green arrow indicating the 
rapid change resulting from the amplitude passing through resonance near 
1.9 GeV.

Volker


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