A charged track in the central tracker of a general-purpose detector curves with…

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Particle Physics, Ch Detectors, event reconstruction and claiming a discovery

Problem

A charged track in the central tracker of a general-purpose detector curves with radius of curvature

r = 8.35\,\mathrm{m}

in a uniform solenoidal field of

B = 2.0\,\mathrm{T}

, perpendicular to the track's transverse plane. The momentum of a track of charge

\pm e

is related to its radius of curvature by

p\,[\mathrm{GeV}/c] = 0.2998\,B\,[\mathrm{T}]\,r\,[\mathrm{m}]

. ((a)) Find the transverse momentum of the track. ((b)) The tracker measures momentum to a resolution of about

1\%

. State the absolute uncertainty on this momentum, in

\mathrm{GeV}/c

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