On the basis of exact separable potential calculations, we show that there is a significant variation of the asymptotic normalization parameter C, of the triton with its binding energy. We present a partial wave dispersion relation technique for determining this parameter from the triton energy, the doublet n-d scattering length, the doublet, s-wave, n-d inelasticities, and the two-nucleon, on-shell scattering amplitudes. We test the method and find it to be accurate and stable with only low-energy information used as input. For a doublet scattering length of 0.65 fm we obtain C, = 3.3+0.1, where the error limits are determined from uncertainties in the inelasticities and the analytic continuation of the two-nucleon amplitudes to negative energies. I NUCLEAR REACTIONS exact separable potential calculations; partial wave dispersion r'elations for n-d elastic scattering amplitudes.
The existence of a virtual state of the three nucleon system is established on the basis of three diAerent analyses. Values for its pole position and residue in the doublet, s-wave, n-d elastic scattering amplitude, are obtained from a fit to the experimental data, from partial wave dispersion relations, and from an exact three-particle, separable potential calculation. The calculations indicate that these parameters are determined mainly by the one-nucleon exchange mechanism and the doublet scattering length a,. For a, = 0.65 fm our best calculation gives an energy of 0.482 MeV below the elastic threshold, on the second Riemann sheet, and a residue parameter C, = 0.0504, where C"' is defined in analogy to the triton asymptotic normalization parameter.NUCLEAR REACTIONS Three-nucleon virtual state; fits to data; dispersion relations; separable potential calculations.
Proton-nucleus interactions in nuclear emulsion from a 200-GeV proton beam at the National Accelerator Laboratory have been studied in terms of multiplicities and the angular distributions of shower particles. Low multiplicities observed in complex nuclei do not depend upon the size or the excitation of the target nuclei. Our experimental results are explained in terms of the energy-flux cascade model and not by intranuclear cascade models.Recent results of rising total cross sections, large p t events, leading particle effects, and clustering of secondaries determined at the energies of the National Accelerator Laboratory and the intersecting storage rings had already been observed in earlier cosmic-ray experiments. Cosmic-ray studies had also revealed that the multiplicity, transverse momentum, and angular distribution of secondaries have weak dependence on the primary energy as well as on the size of the target nucleus, and they do not follow the predictions of the calculations of the intranuclear cascade models. Because of the revival of interest in hadron-nucleus interactions, we present here the results of 200-GeV proton-nucleus interactions in nuclear emulsion and compare them with 16-, * 28-, 2 300-, and 1000-GeV 3 data from our laboratory. We feel that these studies will not only be helpful in understanding the nucleonnucleus collisions but also they will contribute significantly in understanding better the nucleonnucleon interactions.The details of the exposure for this experiment were discussed earlier 4 where we presented the analysis of events with only N h = 0 or 1 (N h denotes the number of heavy tracks 5 with /3 ^ 0.7). We scanned 713.4 m of track length by an along-thetrack scanning method and observed 2293 interactions, out of which we present here the analysis of 1243 events with^>l. In Fig. 1(a) is shown the behavior of (N h ) observed in nuclear emulsion as a function of primary energy. 6 We see that at lower energies (N h ) increases with energy, and at energy > 6 GeV there seems to be a decreasing tendency, approaching an asymptotic value of ~7.5. This is in contradiction to the intranuclear cascade mechanism. In Fig.
Forty directly produced electron pairs have been found by following 713.4 m of 200-GeV-proton track length in nuclear emulsion. For these pairs we have analyzed (i) the total energy distribution, (ii) the energy partition between the two members, (iii) the angular divergence, (iv) the transverse momentum distribution, and (v) the invariant mass of the electron pairs. Present theories disagree with our experimental results.We report the observation of inelastic interactions induced by high-energy neutrinos and antineutrinos in which no muon is observed in the final state. A possible, but by no means unique, interpretation of this effect is the existence of a neutral weak current.
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