ON THE THEORY OF SCATTERING MEASUREMENTS IN NUCLEAR EMULSION. I. THE DISTRIBUTION FUNCTIONS OF THE COORDINATE DIFFERENCES

Journal Article · Sun Sep 01 04:00:00 EDT 1957 · Nuclear Phys.

DOI:https://doi.org/10.1016/0029-5582(87)90038-1· OSTI ID:4329522

Sointseff, N

Moliere's theory of multiple scattering measurements in nuclear emulsion is here treated in a mathematically simpler way. The distribution functions of the second, third, and fourth differences of coordinates arising from true scattering and noise are derived for the constant-cell method. In the derivation, the parameters B/sub r/ are not assumed to be all equal as was assumed by Moliere. As a consequence the scattering constant agrees better with experimental results than the scattering constant calculated by Gottstein et al. lt is shown that the relation between the mean noise epsilon /sub r/ for the r/ sup th/ differences and the error sigma of a coordinate measurement is epsilon /sub 2/ = l.96 sigma /sub N/, epsilon /sub epsilon / = 3.56 sigma /su b N/ and epsilon /sub 4/= 6.68 sigma /sub N/. Therefore, to obtain a noise level of 0.l5 mu for second differences the error sigma /sub N/ should be less than 0.075 mu . In this case epsilon /sub 3/= 0.28 mu and epsilon /sub 4/= 0.50 mu . The effect of the finite size of the nucleus on the distribution functions of the coordinate differences is evaluated in an approximate way. (auth)

• Research Organization: Univ. of Sydney, N.S.W.
• Sponsoring Organization: USDOE
• NSA Number: NSA-12-001748
• OSTI ID: 4329522
• Journal Information: Nuclear Phys., Journal Name: Nuclear Phys. Vol. Vol: 4
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

DISTRIBUTION
ERRORS
MATHEMATICS
MEASURED VALUES
NUCLEAR EMULSIONS
PHYSICS
SCATTERING