ON THE THEORY OF SCATTERING MEASUREMENTS IN NUCLEAR EMULSION. II. THE ESTIMATION OF TRUE SCATTERING IN THE PRESENCE OF DISTORTION

Journal Article · Sat Mar 01 04:00:00 EST 1958 · Nuclear Phys.

DOI:https://doi.org/10.1016/0029-5582(58)90103-2· OSTI ID:4333110

Sointseff, N

The effect of distontion on the scattering measurements in nuclear emulsion is here evaluated theoretically. The Moliere-d'Espagnat method for estimating true scattering in the presence of experimentai errors is exended to the case when third or fourth differences of the coordinates are used. The expressions for the relative standard error of the estimates of scattering from third and founth differences are derived. The distortion is assumed to be of second order but the treatment can be easily exended to any regular type of distontion. It is found that an unbiased estimate can also be obtained for a distonted track by Fowler's method of eliminating distortion, in which the algebraic mean second difference is subtracted from each of the D/sub 1/. However, the relative standard error of such an estimate will in general be larger than the error of an estimate obtalned from third and fourth differences. In the measurement of particles with pv greater than 1 Gev the bias introduced by distortion can be appreciable and third or fourth differences should be used. (auth)

• Research Organization: Univ. of Sydney
• Sponsoring Organization: USDOE
• NSA Number: NSA-12-008145
• OSTI ID: 4333110
• Journal Information: Nuclear Phys., Journal Name: Nuclear Phys. Vol. Vol: 6
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DEFORMATION
ERRORS
MEASURED VALUES
NUCLEAR EMULSIONS
PARTICLE TRACKS
PHYSICS
SCATTERING