Summary
The multiple scattering of 27 GeV protons has been carried out to obtain the lateral distribution up to 10 cm length in emulsions. The influence of spurious scattering has been made negligible. The scattering is found to be about 15% lower than that predicted theoretically. The value of the scattering constant for cell lengths in the region 3 cm to 10 cm has been determined asK=27.6±1.3.
Riassunto
Si è studiato lo scattering dei protoni di 27 GeV per ottenere la distribuzione laterale sino a 10 cm di lunghezza nelle emulsioni. Si è resa trascurabile l’influenza dello scattering spurio. Si è trovato che lo scattering è del 15% inferiore a quanto predetto teoricamente. Si è determinato inK=27.6±1.3 il valore della costante di scattering per lunghezze di cella comprese fra 3 e 10 cm.
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In the process of converting the lateral displacements into scattering constant we have detected a little error in equation (3), 15(3) in Rossi’s book (1). We take this opportunity to point out the correct form of the equation. Since the distribution in displacements is a gaussian the average value is related to the r.m.s. value by the relation (average value)=(2/π)1/2 (r.m.s. value). Further since in the conventional theory the angles of scattering refer to the change in direction between tangents drawn at the two ends of the cell, while in the definition ofK the angle is that between successive chords, the conversion factor to be used in such a statistical problem is (chord angle)=(2/3)1/2 (tangent angle). Thus (chord angle)avg=(2/√3π) (tangent angle)rms. The factor 2/(3π)1/2 given above should replace (2π/3)1/2 in equation (3), 15(3) and corresponding changes made in other parts of the text. We have checked on this from various sources, including ProfessorGreisen, to whom our thanks are due for a private communication.
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This investigation forms part of a programme of work carried out with emulsions exposed at CERN.
An erratum to this article is available at http://dx.doi.org/10.1007/BF02732616.
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Aditya, P.K. Multiple coulomb scattering for very-high-energy particles. Nuovo Cim 31, 473–484 (1964). https://doi.org/10.1007/BF02733751
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DOI: https://doi.org/10.1007/BF02733751