1953-11
AUTHORSC. Castagnoli, G. Cortini, C. Franzinetti, A. Manfredini, D. Moreno
ABSTRACTThe authors present a statistical method for the determin ation of the energy of the primary of a nucleon-nucleon collision in which secondary particles are produced. Such a method, which represents an appreciable improvement with respect to the procedures used by other authors, makes use of all the information that can be obtained from the measurements of the angles of the shower particles of a jet. The sta tistical error on the energy of the primary is given by a very simple for mula and turns out to be always very large and increases with the anisotropy of the emitted particles in the center of gravity frame of reference. The method, which can be applied by successive approximations, is used to discuss 43 jets fue to p (28), n (6) and α (9) primaries. Besides the energy per nucléon of the primary of each jet, some information on the angular distribution of the emitted particles in the centre of gravity system, is deduced. The first approximation is based on the assumption that all the emitted particles have, in the centre of gravity frame of refe rence, the same velocity as the two colliding nucleons before the collision. A critical discussion of the determination of the energy of the primary shows that the result of this approximation has not in generāl much significance. The solution of second approximation needs the knowledge of the spectrum of the emitted particles and depends rather strongly on such a spectrum: if the experimental spectrum is reasonably well repre sented by a formula of the same type as that of Fermi’s thermodynamical theory, the determination of the energy will be fairly satisfactory only if it is at least 50 GeV. But if the experimental spectrum can be represented for energies of the emitted particles much larger thanmπc2, by a formula of the same type as that of Heisenberg, the evaluation of the energy of the primary will depend very strongly on the behaviour of the adopted spectrum at low energy also for ultrarelativistic collisions. More... »
PAGES1539-1558
http://scigraph.springernature.com/pub.10.1007/bf02854918
DOIhttp://dx.doi.org/10.1007/bf02854918
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