NA DNL Simulation Results and the Affect on the Inelastic Dilution Factor

Motivation:

Due to the DNL of the NA TOF spectra, what affect does this have on the inelastic proton dilution factor within the elastic cut?

Definition:

The inelastic proton dilution factor = (inelastic proton contribution within the elastic cut window) / (elastic proton contribution within the elastic cut window)

Procedure

The basic procedure is to mimic the TOF spectra as seen in the FASTBUS with two gaussians. This gives a very fine resolution(.05ns/bin) for the simulated TOF spectra. The simulated FASTBUS data can be cast into histograms that have the same characteristics as the NA TOF histograms (6.5 ns for the first bin and 1 ns/bin for the next 23 bins with 221 different sets of DNL values) and the French TOF histograms (.25ns/bin for 128 bins with no DNL present). The various spectra can be fitted with two gaussians. With these fit parameters and a specified cut window on the elastic peak, the elastic and inelastic proton contribution within the elastic cut can be found by numerical integration or use of the Erf function. Along with this fitted data, the individual elastic and inelastic proton histograms can be saved in memory after they have been casted into the FR or NA TOF spectra, thus one can get the bin contents from each of these histograms within the specified cut window. From this the "true" dilution factor can be found and compared with the fitted results.

Results

To see simulated French results, click here

To see simulated NA results, click here

Possible DNL Correction Procedure

To see simulated correction for the NA DNL, click here

Correcting the NA DNL

To see corrected NA TOF spectra, click here