Central Time-of-Flight Calibration Constants
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1 Central Time-of-Flight Calibration Constants D.S. Carman, Jefferson Laboratory ctof db.tex April 27, 2016 Abstract This document details the calibration constants for the CTOF system. The two categories of constants are associated with the gain calibration and the timing calibration. 1 CTOF Calibration Constants Table 1 provides an overview of the calibration constants associated with the CLAS12 Central Time-of-Flight (CTOF) system. The constants fall into two different categories, those associated with the gain (or high voltage) calibration and those associated with the timing calibration for each counter. The number of entries associated with each calibration constant is typically 48, the total number of scintillation counters in the CTOF system. The CLAS12 calibration database is organized into columns based on sector, layer, and component. For the CTOF system as it is a hermetical barrel of scintillation counters located in the CLAS12 Central Detector and therefore is not divided into sectors, the sector is assigned as 0. As there is only one layer of counters for CTOF, the layer is assigned as 1. Finally, the component corresponds to the counter number, In each of the subsections below, full details on each of the CTOF database calibration constants listed in Table 1 are provided. Section 2 provides starting values for each of the calibration constants. Database Entry /calibration/ctof/status /calibration/ctof/attenuation /calibration/ctof/effective velocity /calibration/ctof/gain balance /calibration/ctof/timing offset Description PMT/Counter status Counter attenuation length parameters Counter effective velocity parameters PMT gain balancing parameters Counter-to-counter time offset parameters Table 1: Overview table for the CTOF calibration constants. 1
2 1.1 Counter Status When analyzing the CTOF data it is important to known the status of each PMT. The following convention is employed: 0 - fully functioning 1 - no ADC 2 - no TDC 3 - no ADC, no TDC (PMT is dead) 5 - any other reconstruction problem For the upstream PMT status entries and the downstream PMT status entries, there are 48 parameters, one for each upstream PMT and one for each downstream PMT. The relevant details on the CTOF status entries in the calibration database are given in Table 2. Name status Full path /calibration/ctof/status Columns 5 Column info # type name 3 int stat upstream 4 int stat downstream Table 2: CTOF PMT/Counter status database information. 1.2 Attenuation Length Constants There are three constants associated with the attenuation lengths for each counter. attlen - measured attenuation length (cm) for each end of each counter. attlen err - uncertainty of the measured attenuation length (cm) y offset - intercept of attenuation length fit Although there are attenuation length constants in the calibration constant database for both the upstream and downstream ends of each counter, typically a single fit for each counter is performed using the expression: 2
3 assuming ( ) ADCU ln = y offset + 2x ADC D attlen, attlen upstream = attlen downstream = attlen. This is a linear form with y-intercept = y offset (a constant) and slope = 2/attlen. Thus a linear fit of the log ratio of the upstream and downstream ADC values ADC U /ADC D vs. coordinate along the counter can be used to extract the effective counter attenuation length. The parameter attlen err is the fit uncertainty associated with the attenuation length fit. No uncertainty for the y-intercept parameter is stored. The relevant details on the CTOF attenuation length entries in the calibration database are given in Table 3. Name attenuation Full path /calibration/ctof/attenuation Columns 8 Column info # type name 3 double attlen upstream 4 double attlen downstream 5 double attlen upstream err 6 double attlen downstream err 7 double y offset Table 3: CTOF counter attenuation length database information. 1.3 Effective Velocity Constants There are two constants associated with the measured effective velocity: veff - effective velocity of the counter for each end (cm/ns) veff err - uncertainty in the determined effective velocity (cm/ns) The effective velocity is determined using the definition of the hit coordinate along the counter: x = veff 2 (TDC U TDC D ), (1) where TDC U and TDC D are the TDC times from the upstream and downstream TDCs for a given counter and x is the hit coordinate along the bar determined from time-based tracking. The parameter veff err is the uncertainty in the effective velocity from the fit. There are 3
4 parameters associated with the effective velocity for the upstream and downstream ends of the counter, but typically it is assumed veff upstream = veff downstream. The relevant details on the CTOF effective velocity entries in the calibration database are given in Table 4. Name effective velocity Full path /calibration/ctof/effective velocity Columns 7 Column info # type name 3 double veff upstream 4 double veff downstream 5 double veff upstream err 6 double veff downstream err Table 4: CTOF counter effective velocity database information. 1.4 Gain Balancing Constants There are four parameters associated with the gain balancing constants. mipa refers to the minimum-ionizing peak location in the ADC spectrum and lograt refers to the centroid of the ADC U and ADC D log ratio distribution. mipa - Fit centroid of the Landau peak in the geometric mean histogram for minimum ionizing particles. mipa err - Uncertainty in the fit of the Landau peak in the geometric mean histogram for minimum ionizing particles. logratio - Mean of the distribution ln ( A U A D ). logratio err - Uncertainty in the mean of the log ratio distribution. Even though their are separate parameters for the upstream and downstream PMTs, typically mipa (upstream) and mipa (downstream) are filled with the fit centroid for the minimum ionizing peak for the geometric mean ADC distribution ( ADC U ADC D ) and lograt is the centroid of the log ratio distribution ln(adc U /ADC D ), meaning that it is the same value for both the upstream and downstream PMTs. The gain balancing parameters also include the uncertainties in the geometric mean from the fit (mipa err) and the log ratio distribution (logratio err). The relevant details on the CTOF status entries in the calibration database are given in Table 5. 4
5 Name gain balance Full path /calibration/ctof/gain balance Columns 9 Columns info # type name 3 double mipa upstream 4 double mipa downstream 5 double mipa upstream err 6 double mipa downstream err 7 double logratio 8 double logratio err Table 5: CTOF PMT gain balancing database information. 1.5 Time Offset Constants There are two parameters associated with time offsets for the CTOF: upstream downstream - upstream/downstream PMT time difference for each counter paddle2paddle - counter to counter time-offset relative to the RF The first is from the centroid of the time difference distribution for each counter TDC U TDC D. This centroid is determined by a procedure that finds the left and right edges of this time difference distribution, then upstream downstream = Edge L + Edge R. (2) veff The global time offset parameter (paddle2paddle) is a single parameter for all counters typically refers generically to the event start time. The relevant details on the CTOF status entries in the calibration database are given in Table 6. 5
6 Name timing offset Full path /calibration/ctof/timing offset Columns 5 Columns info # type name 3 double upstream downstream 4 double paddle2paddle Table 6: CTOF counter-to-counter time offset database information. 2 Starting Values Table 7 details the starting values (and units where applicable) for each of the CTOF calibration constants to be entered into the calibration database for CLAS12. These values will be updated based on calibration data from cosmic rays or beam-related events. Name Parameter Value status status 0 attenuation attlen (cm)) attlen err 0.02*attlen (cm) y offset 0.0 (cm) effective velocity veff 16.0 (cm/ns) veff err 0.02*veff (cm/ns) gain balance mipa 2000 (ADC channel) mipa err 5 (ADC channels) logratio 0.0 logratio err 0.0 timing offset upstream downstream 0.0 paddle2paddle 0.0 Table 7: Starting values for the CTOF calibration constants. 6
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