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Rogers, J.G.; Saylor, D.P.; Bronson, J. D.; Jain, Mahavir

doi:10.1103/physrevlett.29.1181

Cited by 10 publications

(1 citation statement)

References 14 publications

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“…This interference effect was first seen in integrated 2 H(£, 2p)n data. 6 To investigate the dependence of the model cross section on M d2 we have computed the cross section along the loci of Fig. 1 ue.…”

Section: New Approach To the Analysis Of Nucleon-deuteron Breakup Data^mentioning

confidence: 99%

New Approach to the Analysis of Nucleon-Deuteron Breakup Data

1973

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We propose calculations and measurements of N+ d breakup cross sections as a function of a new set of kinematic variables. When carried out as a function of these variables, separable-potential calculations predict cross sections which exhibit a very deep destructive interference minimum over a wide range of bombarding energies. We proposed a procedure for isolating the effect of the crucial M d2 amplitude on the cross section.A basic difficulty in attempting to extract new information about the NN force from measured three-body observables is that the observables are largely determined by what is already known about the NN force from the nucleon-nucleon data. The purpose of this article is to suggest a method of selecting the kinematical situations under which to perform N+d breakup measurements to facilitate the observation of short-range effects. (These we take to include both the off-energy-shell behavior of the NN force and explicit three-body forces.) We shall also present estimates of the variation in the cross section which might be caused by these short-range effects.Since three-body breakup amplitudes depend sensitively on the three final-state NN relative energies, we suggest that the relative energies be used to parametrize the kinematics and that comparisons of data and calculations should be done for fixed values of these relative energies. If in addition the direction of one of the finalstate nucleon momenta is held fixed, the cross section can depend only on the cm. rotation angle of a momentum triangle of fixed shape about the direction of the fixed nucleon momentum. This rotation angle, or an equivalent kinematic variable, is the continuous variable against which the cross section is to be measured and calculated in this scheme. The above specification fixes four independent kinematic variables, thus defining a one-dimensional kinematic locus in three-body phase space. We have computed the breakup cross section along a particular one of these constant-relative-energy loci using the YY model, 1 where the Watson-Faddeev integral equations are solved with separable spin-dependent s-wave NN interactions. 2 The model cross section is given bywhere F K is a kinematic factor, M q is the amplitude for breakup in the quartet state {S = • §-), and M dl and M d2 are the doublet-state (S= ?) amplitudes in which the two identical nucleons are coupled to spin 1 or 0, respectively. Results from model calculations of elastic N-d scattering phase parameters 3 with different NN forces lead us to expect that M d2 is much more sensitive to the details of the NN force used in the calculations than the other amplitudes. This can be understood because wave-function antisymmetry makes a state contributing to M d2 the only one in which there is a significant probability of finding the three nucleons simultaneously close together. 3 ' 4The advantage of the above procedure is that the s-wave parts of M q , M dU and M d2 are all constant along such a locus. If we assume that the deviation between the model-predicted M d2 a...

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Section: New Approach To the Analysis Of Nucleon-deuteron Breakup Data^mentioning

confidence: 99%