The problem of estimating particle momenta under the simultaneous presence of magnetic deflection and Coulomb scattering is considered. This problem is of practical interest when nuclear emulsion plates are exposed under fields of multihundred kilogauss currently available from pulsed magnets. The estimation of momentum is separated into two parts, each utilizing the magnetic and the Coulomb effect, respectively. In this way one can fully utilize the numerous estimation techniques already developed and available in the literature for each of these two estimates. This separation, however, is carried out in such a way that the magnetic and the Coulomb estimate are statistically independent, and hence can be readily combined for an improved accuracy.

1.
A pulsed magnet equipment designed for nuclear emulsion exposures under a field of about 200 000 gauss has been constructed in this laboratory.
2.
J. E.
Moyal
,
Phil. Mag.
41
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1058
(
1950
).
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H. P.
Furth
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26
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1955
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Dilworth
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Goldsack
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Goldschmidt
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Clermont
, and
Levy
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41
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1032
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1950
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Groetzinger
,
Berger
, and
Ribe
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584
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6.
See, e.g., H. Cramer, Mathematical Methods of Statistics (Princeton University Press, Princeton, New Jersey, 1946), p. 386.
7.
When y0>9 and αm>27, Eq. (36′) may have multiple roots. In this case the momentum estimate is inherently uncertain and qF is preferred to .
8.
In G‐5 nuclear emulsions, the spurious error is observed to be insensitive to the variation of cell length in the range of h from 200μ to 3000μ. F. W. Fischer, M.S. thesis, University of Washington 1956.
9.
G has a slow dependence on h. This effect, however, is not included in the present investigation.
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