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indigojoker
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I was wondering what the different between pseudorapidity and rapidity was (pertaining to a high energy accelerator). I know know pesudorapidity is but not sure what rapidity is.
indigojoker said:I was wondering what the different between pseudorapidity and rapidity was (pertaining to a high energy accelerator). I know know pesudorapidity is but not sure what rapidity is.
Rapidity [tex]\theta[/tex] is a [Minkowski-]angle in spacetime [not space], whose hyperbolic-tangent is related to the spatial-velocity [in space] by:indigojoker said:rapidity is a type of "velocity" while pseudorapidity is a type of "angle" that tells me where I am in the detector. That doesn't make any sense at all to me because I don't think one can get m/s from the rapidity formula [tex] y = \frac{1}{2} ln \left( \frac{E+p_{z}}{E-p_{z}} \right) [/tex]
indigojoker said:I was wondering what the different between pseudorapidity and rapidity was (pertaining to a high energy accelerator). I know know pesudorapidity is but not sure what rapidity is.
indigojoker said:pseudorapidity is described by:
[tex] \eta=-ln \left( tan \left( \frac{\theta}{2} \right) \right) [/tex]
is the theta in this formula rapidity?
Pseudorapidity and rapidity are two different ways of measuring the angle of a particle's trajectory in a particle accelerator. Pseudorapidity is based on the polar angle of a particle relative to the beam axis, while rapidity is based on the logarithm of the particle's energy and momentum.
Pseudorapidity is more commonly used in high energy physics because it is more closely related to the angle of a particle's trajectory and is easier to measure experimentally.
Pseudorapidity and rapidity are both measures of a particle's trajectory in a particle accelerator, which can provide information about the energy and momentum of the particle. They are also used to study the production and behavior of particles in high energy collisions.
Yes, pseudorapidity and rapidity can be converted into each other using mathematical equations. However, this conversion is only approximate and is dependent on the energy and momentum of the particle being measured.
Pseudorapidity and rapidity are important factors in the calculation of cross sections in particle collisions because they help determine the probability of particle interactions. Accurate measurements of pseudorapidity and rapidity are crucial for understanding the dynamics of particle interactions and for making predictions about future experiments.