[ Be-12(p,n)B-12 ] the detector circuit

June 5, 2011

GoLuckyRyan circuits, Lab Log, operational, theory , , , , , , , , , Leave a comment

i joined a scattering experiment for ^{12}Be(p,n)^12B . today the Beam-Line-Detector team was finished the BLD, and SHARAQ group is trimming the beam to the SHARAQ detector. i was worked on the neutron detector array, but i was absented for all preparation job due to a polarized proton target.

here is the detector circuit:

when the neutron hits on the plastics scintillator, it create s proton and further release photons. these photons is result of photoelectric effect and Compton scattering. the photons have different time on reaching the 2 ends of the scintillator due to the position. Thus, by analysis the timing, we can identify the position.

The Photo-Multipler Tube convert photon into electric signal. This signal go to a Splitter, the splitter simply copy the signal. one output is go to a Discriminator, which create a digitized signal. the PMT at the 2 ends will give different timing, and the Discriminator signals will be combined after the AND gate. If the neutron hit the scintrillator near either ends, the AND gate make sure that the later signal will be the trigger signal.

the trigger signal will enable the Charge-Digital-Converter (QDC) start integrate the delayed signal for 300ns. Since from the raw signal to the AND gate takes time, thus a delay will ensure a correct detection of the total energy for each signal. However, the signal will have exponential decay when traveling alone the PMT. the signal decay is:

S = S_0 e^{- k x}

For signal created at position r from the mid-point of the scintrillator , the 2 signals are:

S_1 = S_0 e^{- k (L-r)}

S_2 =S_0 e^{-k ( L+r)}

where L is the half length from the mid-point of the scintrillator. thus, if we use a geometric mean, we can get the original signal strength.

S_0 = \sqrt{S_1 S_2} e^{k L}

the trigger signal also combined with the discriminator signal for determination of the time. the trigger signal will define the t=0. by this, we can calculate back the location of the neutron. If we define the mid-point of the scintrillator be x=0. a neutron hits on position r will take different path and the time different for the scintrillator is:

\Delta t_s = 2 r / c

where c is the speed of light. we also have to add the time different due to the cable, thus, the total time different is:

\Delta t = t_1 - t_2 = \frac{2r}{c} + t_0

by fitting the statistic, the average of the position should be zero, thus the mean of Δt is the offset by the cable.

However, as we mention before, the signal will decay. since we are using Threshold Discriminator, different signal strength will give different time even for same start time. This is called Walk effect. For lower signal strength, the effect is stronger. and give larger Walk time. since the Walk time is always additional, the statistics of the QDC-TDC graph will has a tail at one side only.

In fact , there is a technique the tackle the Walk effect, which is by a Constant Fraction Discriminator. the principle is that, if we copy the signal and apply a negative fraction on 1 of them and summing up. the point of zero is always the same no matter the amplitude or the signal strength.

the Walk effect can be calculated by assuming the falling of the signal is just like a line with slope -m. with threshold -θ, and a decay ratio k. the time are:

t_1 = \frac{\theta}{m}

t_2 = \frac{\theta}{k m} = \frac{1}{k} t_1

\Delta t = t_1-t_2 = \frac{k - 1}{k} \frac{\theta} {m}

if we plot the signal strength versus time different, we have a curve in the form

y = \frac{k-1}{k} \theta \frac{1}{x}

From the equation, a smaller decay ratio, which corresponding to the location closer to the mid-point of the  scintrillator, the bigger the 1- \frac{1}{k} and give a border curve.

[ (p,d) 3NF ] Installation of Polarization meter

April 15, 2011

GoLuckyRyan experimental, Lab Log , , , , , , Leave a comment

i will join an “measurement of d-p elastic scattering at 300 MeV/nucleon” experiment.

this experiment is going to study the 3-nuclear force, which is the force connects 3 body at same time. since the nuclear force is polarization dependence, or spin dependence, we have to measure the polarization of the beam.

the way to do is measuring the asymmetry of scattering, by spin-orbital coupling. for a spin up particle incident on left, the spin-orbital coupling strength is different from the incident on the right. thus, we will install a plastic scintillator on both side, left and right, up and down, to determine the polarization.

the scintillator was installed at particular angle such that the different is biggest. ( i don’t know how to calculate this angle ) the optimal angle for proton and deuteron are different, so, we use 8 detector in total.

after installation, we put a Co-60 gamma ray source in front of it, and connect the photomultipler tube (PMT) with about 1000V to 2000V, depend on the sensitivity of each PMT. The signal was displayed on CRO, and it shoen a typical signal pattern. although the gamma ray energy is fixed, the detection process in the plastic scintillator is via Compton scattering of electron, that make fluctuation of the signal. Thus, we take count average of about 60 to 100 counts. the typical signal depth is 200mV and fall time is 3uS, raise time is 5 to 7 uS.

footnote:

Co-60 has 1 gamma ray decay of 0.058MeV, then it goes 2 channels beta decay of 0.31MeV with 99.88% and 1.48MeV with 0.12% to Ni-60, the excited Ni-60 will emit 2 gamma ray, of 1.17MeV and 1.33MeV.