- #1
Didier Drogba
Dear all,
We were trying to solve the following question but did not quite understand what to do. The question is as follows:
The reconstructed invariant mass is usually described by a Gaussian (or Normal) distribution. However, the resolution σ (the width of the distribution) is found to depend on the energy of the parent particle E in the laboratory frame, which in turn can be described by an exponential distribution for energies above some minimum (below this threshold nothing is detected). The resolution of the invariant mass is found to be σ(E) ∝ 1/ √ E. What does the resulting invariant spectrum look like? Does it still look Gaussian? The detection threshold for a detector is around energies of 500 MeV. The average detected energy is about 2.5 GeV.
All help will be greatly appreciated!
Kind regards,
DD
We were trying to solve the following question but did not quite understand what to do. The question is as follows:
The reconstructed invariant mass is usually described by a Gaussian (or Normal) distribution. However, the resolution σ (the width of the distribution) is found to depend on the energy of the parent particle E in the laboratory frame, which in turn can be described by an exponential distribution for energies above some minimum (below this threshold nothing is detected). The resolution of the invariant mass is found to be σ(E) ∝ 1/ √ E. What does the resulting invariant spectrum look like? Does it still look Gaussian? The detection threshold for a detector is around energies of 500 MeV. The average detected energy is about 2.5 GeV.
All help will be greatly appreciated!
Kind regards,
DD