32.1 Pole in \({\cal M}_3\)

Calling \(p\) the complex pole in \(E\) we have that

\[ p=-\Gamma/2 \]

# we insert the value of the pole 
df<- data.frame("g"=c(5,10,20),
                "gamma"=c( -2.92805e-08, -1.64916e-07, -4.29618e-07),
                "dgamma"=c( 4.25917e-08, 3.16526e-08, 4.97291e-08 ),
                "MR"=c( 3.0236, 3.02179, 3.02112),
                "dMR"=c( 0.000295158, 0.000223615, 0.000257856),
                "dq3"=c(1.6903*10^-7,1.44139*10^-7,1.35427*10^-7)
                )
#here we convert in width
df$gamma<--df$gamma*2
df$dgamma<- df$dgamma*2

fitting \(\Gamma=g^n\)

\(\chi^2=\) 1.542424

\(a=\) 2.192579e-09

\(\chi^2=\) 1.204789

\(a=\) 0.01610877