The Fitting Functions for Carbon

1. Fitting the carbon data

A) Period 0 and Topology γ p -> p π+ ( π- )

gaus + background ( pol4 )	gaus + background ( Breit_Wigner + pol4 )
EBin[03]: 0.5GeV - 0.6GeV EBin[04]: 0.6GeV - 0.7GeV EBin[05]: 0.7GeV - 0.8GeV EBin[06]: 0.8GeV - 0.9GeV EBin[07]: 0.9GeV - 1.0GeV EBin[08]: 1.0GeV - 1.1GeV EBin[09]: 1.1GeV - 1.2GeV EBin[10]: 1.2GeV - 1.3GeV EBin[11]: 1.3GeV - 1.4GeV EBin[12]: 1.4GeV - 1.5GeV EBin[13]: 1.5GeV - 1.6GeV EBin[14]: 1.6GeV - 1.7GeV EBin[15]: 1.7GeV - 1.8GeV EBin[16]: 1.8GeV - 1.9GeV EBin[17]: 1.9GeV - 1.0GeV EBin[18]: 2.0GeV - 2.0GeV EBin[19]: 2.1GeV - 2.1GeV	EBin[03]: 0.5GeV - 0.6GeV EBin[04]: 0.6GeV - 0.7GeV EBin[05]: 0.7GeV - 0.8GeV EBin[06]: 0.8GeV - 0.9GeV EBin[07]: 0.9GeV - 1.0GeV EBin[08]: 1.0GeV - 1.1GeV EBin[09]: 1.1GeV - 1.2GeV EBin[10]: 1.2GeV - 1.3GeV EBin[11]: 1.3GeV - 1.4GeV EBin[12]: 1.4GeV - 1.5GeV EBin[13]: 1.5GeV - 1.6GeV EBin[14]: 1.6GeV - 1.7GeV EBin[15]: 1.7GeV - 1.8GeV EBin[16]: 1.8GeV - 1.9GeV EBin[17]: 1.9GeV - 2.0GeV EBin[18]: 2.0GeV - 2.1GeV EBin[19]: 2.1GeV - 2.2GeV

B) Period 0 and Topology γ p -> π+ π- ( p )

gaus + background ( pol4 )	gaus + background ( Breit_Wigner + pol4 )
EBin[03]: 0.5GeV - 0.6GeV EBin[04]: 0.6GeV - 0.7GeV EBin[05]: 0.7GeV - 0.8GeV EBin[06]: 0.8GeV - 0.9GeV EBin[07]: 0.9GeV - 1.0GeV EBin[08]: 1.0GeV - 1.1GeV EBin[09]: 1.1GeV - 1.2GeV EBin[10]: 1.2GeV - 1.3GeV EBin[11]: 1.3GeV - 1.4GeV EBin[12]: 1.4GeV - 1.5GeV EBin[13]: 1.5GeV - 1.6GeV EBin[14]: 1.6GeV - 1.7GeV EBin[15]: 1.7GeV - 1.8GeV EBin[16]: 1.8GeV - 1.9GeV EBin[17]: 1.9GeV - 1.0GeV EBin[18]: 2.0GeV - 2.0GeV EBin[19]: 2.1GeV - 2.1GeV	EBin[03]: 0.5GeV - 0.6GeV EBin[04]: 0.6GeV - 0.7GeV EBin[05]: 0.7GeV - 0.8GeV EBin[06]: 0.8GeV - 0.9GeV EBin[07]: 0.9GeV - 1.0GeV EBin[08]: 1.0GeV - 1.1GeV EBin[09]: 1.1GeV - 1.2GeV EBin[10]: 1.2GeV - 1.3GeV EBin[11]: 1.3GeV - 1.4GeV EBin[12]: 1.4GeV - 1.5GeV EBin[13]: 1.5GeV - 1.6GeV EBin[14]: 1.6GeV - 1.7GeV EBin[15]: 1.7GeV - 1.8GeV EBin[16]: 1.8GeV - 1.9GeV EBin[17]: 1.9GeV - 2.0GeV EBin[18]: 2.0GeV - 2.1GeV EBin[19]: 2.1GeV - 2.2GeV

C) Period 7 and γ p -> p π+ ( π- )

gaus + background ( pol4 )	gaus + background ( Breit_Wigner + pol4 )
EBin[03]: 0.5GeV - 0.6GeV EBin[04]: 0.6GeV - 0.7GeV EBin[05]: 0.7GeV - 0.8GeV EBin[06]: 0.8GeV - 0.9GeV EBin[07]: 0.9GeV - 1.0GeV EBin[08]: 1.0GeV - 1.1GeV EBin[09]: 1.1GeV - 1.2GeV EBin[10]: 1.2GeV - 1.3GeV EBin[11]: 1.3GeV - 1.4GeV EBin[12]: 1.4GeV - 1.5GeV EBin[13]: 1.5GeV - 1.6GeV EBin[14]: 1.6GeV - 1.7GeV EBin[15]: 1.7GeV - 1.8GeV EBin[16]: 1.8GeV - 1.9GeV EBin[17]: 1.9GeV - 2.0GeV EBin[18]: 2.0GeV - 2.1GeV EBin[19]: 2.1GeV - 2.2GeV	EBin[03]: 0.5GeV - 0.6GeV EBin[04]: 0.6GeV - 0.7GeV EBin[05]: 0.7GeV - 0.8GeV EBin[06]: 0.8GeV - 0.9GeV EBin[07]: 0.9GeV - 1.0GeV EBin[08]: 1.05GeV - 1.1GeV EBin[09]: 1.1GeV - 1.2GeV EBin[10]: 1.2GeV - 1.3GeV EBin[11]: 1.3GeV - 1.4GeV EBin[12]: 1.4GeV - 1.5GeV EBin[13]: 1.5GeV - 1.6GeV EBin[14]: 1.6GeV - 1.7GeV EBin[15]: 1.7GeV - 1.8GeV EBin[16]: 1.8GeV - 1.9GeV EBin[17]: 1.9GeV - 2.0GeV EBin[18]: 2.0GeV - 2.1GeV EBin[19]: 2.1GeV - 2.2GeV

D) Period 7 and γ p -> π+ π- ( p )

gaus + background ( pol4 )	gaus + background ( Breit_Wigner + pol4 )
EBin[03]: 0.5GeV - 0.6GeV EBin[04]: 0.6GeV - 0.7GeV EBin[05]: 0.7GeV - 0.8GeV EBin[06]: 0.8GeV - 0.9GeV EBin[07]: 0.9GeV - 1.0GeV EBin[08]: 1.0GeV - 1.1GeV EBin[09]: 1.1GeV - 1.2GeV EBin[10]: 1.2GeV - 1.3GeV EBin[11]: 1.3GeV - 1.4GeV EBin[12]: 1.4GeV - 1.5GeV EBin[13]: 1.5GeV - 1.6GeV EBin[14]: 1.6GeV - 1.7GeV EBin[15]: 1.7GeV - 1.8GeV EBin[16]: 1.8GeV - 1.9GeV EBin[17]: 1.9GeV - 2.0GeV EBin[18]: 2.0GeV - 2.1GeV EBin[19]: 2.1GeV - 2.2GeV	EBin[03]: 0.5GeV - 0.6GeV EBin[04]: 0.6GeV - 0.7GeV EBin[05]: 0.7GeV - 0.8GeV EBin[06]: 0.8GeV - 0.9GeV EBin[07]: 0.9GeV - 1.0GeV EBin[08]: 1.05GeV - 1.1GeV EBin[09]: 1.1GeV - 1.2GeV EBin[10]: 1.2GeV - 1.3GeV EBin[11]: 1.3GeV - 1.4GeV EBin[12]: 1.4GeV - 1.5GeV EBin[13]: 1.5GeV - 1.6GeV EBin[14]: 1.6GeV - 1.7GeV EBin[15]: 1.7GeV - 1.8GeV EBin[16]: 1.8GeV - 1.9GeV EBin[17]: 1.9GeV - 2.0GeV EBin[18]: 2.0GeV - 2.1GeV EBin[19]: 2.1GeV - 2.2GeV