An accelerator collides protons with an energy of 920 GeV with electrons with an energy of 27.5 GeV. The direction of the proton movement is called forwards and the direction of the electron backwards. a) A collaboration of scientists suggests an experiment with a multi-purpose detector around the interaction point. This is their proposal: The center-of-mass energy of E(cms) = 280 GeV allows for a wide range of physics. The experiment will be built asymmetrically around the interaction point with more instrumenta- tion in the backwards direction, where most of the particles will be created. The innermost layer will consist of a semiconductor tracking detector, followed by a muon detector in radial direction. The next layer will be a calorimeter consisting of alternate layers of aluminium and scintillating fibres. The outermost layer will consist of a tracking detector. A supercon- ducting magnet will create a homogenuos field to bend the charged particles' trajectories. As the particles are expected to be high-energetic, we will need only a small magnetic field strength. Enumerate six flaws in the proposal and briefly explain why they are flaws. Make a brief calculation if necessary. At this experiment, the electrons or positrons can be used to investigate the structure of the protons with which they collide. Draw a Feynman diagram between an electron and a proton constituent. State the force involved in the interaction. Decorate each line and vertex in the Feynman diagram with the corresponding mathematical terms following the Feynman rules and name the terms. State the resulting matrix element.

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An accelerator collides protons with an energy of 920 GeV with electrons with an energy of
27.5 GeV. The direction of the proton movement is called forwards and the direction of the
electron backwards.
a)
A collaboration of scientists suggests an experiment with a multi-purpose detector around
the interaction point. This is their proposal:
The center-of-mass energy of E(cms) = 280 GeV allows for a wide range of physics. The
experiment will be built asymmetrically around the interaction point with more instrumenta-
tion in the backwards direction, where most of the particles will be created. The innermost
layer will consist of a semiconductor tracking detector, followed by a muon detector in radial
direction. The next layer will be a calorimeter consisting of alternate layers of aluminium
and scintillating fibres. The outermost layer will consist of a tracking detector. A supercon-
ducting magnet will create a homogenuos field to bend the charged particles' trajectories.
As the particles are expected to be high-energetic, we will need only a small magnetic field
strength.
Enumerate six flaws in the proposal and briefly explain why they are flaws. Make a brief
calculation if necessary.
Transcribed Image Text:An accelerator collides protons with an energy of 920 GeV with electrons with an energy of 27.5 GeV. The direction of the proton movement is called forwards and the direction of the electron backwards. a) A collaboration of scientists suggests an experiment with a multi-purpose detector around the interaction point. This is their proposal: The center-of-mass energy of E(cms) = 280 GeV allows for a wide range of physics. The experiment will be built asymmetrically around the interaction point with more instrumenta- tion in the backwards direction, where most of the particles will be created. The innermost layer will consist of a semiconductor tracking detector, followed by a muon detector in radial direction. The next layer will be a calorimeter consisting of alternate layers of aluminium and scintillating fibres. The outermost layer will consist of a tracking detector. A supercon- ducting magnet will create a homogenuos field to bend the charged particles' trajectories. As the particles are expected to be high-energetic, we will need only a small magnetic field strength. Enumerate six flaws in the proposal and briefly explain why they are flaws. Make a brief calculation if necessary.
At this experiment, the electrons or positrons can be used to investigate the structure of
the protons with which they collide. Draw a Feynman diagram between an electron and
a proton constituent. State the force involved in the interaction. Decorate each line and
vertex in the Feynman diagram with the corresponding mathematical terms following the
Feynman rules and name the terms. State the resulting matrix element.
Transcribed Image Text:At this experiment, the electrons or positrons can be used to investigate the structure of the protons with which they collide. Draw a Feynman diagram between an electron and a proton constituent. State the force involved in the interaction. Decorate each line and vertex in the Feynman diagram with the corresponding mathematical terms following the Feynman rules and name the terms. State the resulting matrix element.
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