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Tools for Nuclear & Particle Physics Experimental Background
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Basic Structure of Experimentation
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Accelerators Van de Graaff generator (~1935) By transporting charges, it makes a DC field to accelerate an ion source. The voltage used is about 20-30 keV, and it provides 10 MeV potential. It had become obsolete in nuclear & particle field although the technological applications are still common. Note: Tandem Van de Graaff can utilize twice the maximum voltage.
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Accelerators continued Linear Accelerators [Linacs] (~1955) These are used mainly for electrons. The idea is to utilize radio frequency to accelerate electrons through a number of connected gaps. It needs less energy to get close to speed of light. It can obtain up to 100 MeV.
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Accelerators continued Cyclotron (~1940) By using a magnetic field, a particle is tracked in a circular orbit. An alternating electric field accelerates the particle at each gap. It can gain up to 500 MeV. Nowadays, it is used for medical physics, and other applications.
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Accelerators continued Synchrotron (~1955) Particles are accelerated in a circle of constant diameter. The main idea is to use bending magnets and gaps to accelerate particles. The particles must be “pre-accelerated” because of a large difference of magnetic field at the end. It can gain up to 100 GeV.
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Accelerators continued Colliders (~1975) Colliders make two accelerated particles collide each other. It can gain the TeV order of energy.
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Collision and Total Energy The laboratory frame (The target is at rest.) p lab b = 0, E lab b = m b c 2 The center-of- momentum frame (The center-of-momentum is fixed.) p CM a + p CM b = 0
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Collision and Total Energy (cont.) The total energy obtained by the collision When the energy of incident particle increases, it will be approximated as Note: The derivation will be presented in the lecture.
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Passage of Radiation Through Matter The idea is to find out the input and output relation of particle beams through a slab of matter Two basic interactions Many small interactions It describes the input and output energies in a statistical manner. “All-or-nothing” interactions It describes how many particles going out from a slab of matter.
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Particle-Dependent Properties Heavy charged particles The energy loss depends upon not only the length, but the density. There occurs an ionization minimum. The range of a particle gives the specific range and energy lost. (Bragg peak)
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Particle-Dependent Properties (cont.) Photons There are mainly three processes. Photoelectric effect At law energies, it is dominant. Compton effect At intermediate, it is dominant. Pair production At an energy of 2m e c 2, it becomes possible, and then it will be completely dominant.
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Particle-Dependent Properties (cont.) Electrons The high-energy electrons get energy loss by radiation. Because of the radiation energy loss, there is the separation of the region, critical energy. Ionization region (E<E c ) Radiation region (E>E c )
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Detectors The main purposes To identify particles To measure positions To measure time differences
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Detectors (cont.) Scintillation counters This utilizes the fact that charged particles traversing solids excite the electrons and emit light in such materials. The light will be collected and amplified by photomultipliers. The time response is very fast (200 pico second). A pair of scintillation counters can measure the time of flight and velocity, but only for ( v<<c ).
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Detectors (cont.) Scintillation counters For the problems, the scintillation counter is not so efficient, and the result is always statistical.
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Detectors (cont.) Semiconductor detectors This utilizes the fact that charged particles traversing solid excite the electrons in semiconductor. Measurement of position is accurate (500 m or less). The problem is radiation damage (because of harsh conditions).
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Detectors (cont.) Bubble chambers This utilizes the fact that the highly heated transparent liquid gives the path of incident particles in the chamber. This is a supplemental detector for counters.
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Detectors (cont.) Spark chambers This utilizes the fact that the ions remained, after particles’ passing through, can be sparked by voltage. This is selective detector unlike a babble chamber. This can distinguish between electrons and muons.
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Other Detectors Wire chambers Very good time resolution and position accuracy Time projection chambers Giving very good spatial (three dimensional) resolution Spectrometer Measuring mass and momentum of a particle using magnetic fields
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Counters and its Statistics What is the probability of finding a specific value? If the total number of detected particles is small, it follows Poisson distribution. If the total number of detected particles is large, it follows Gaussian distribution. Note: The detailed discussion will be given in the lecture and lab.
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