By Daphne F. Jackson (auth.), Michel Baranger, Erich Vogt (eds.)
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Extra info for Advances in Nuclear Physics: Volume 4
Iii) Pion absorption processes, such as (n+,2p) and (n-,2n). As we have seen from the general discussion given in Section 2, the study of these reactions leads to information about the distribution of the hole strength among the states of the residual nucleus, the parentage of the ground state of the target nucleus, and the wave function of the group of nucleons in the target nucleus. It is convenient to refer to the group of nucleons as a "cluster" in the target nucleus; this is not intended to imply any preference for the cluster model over the shell model, although it is certainly to be hoped that these reactions will give results which distinguish between these models.
The data are reasonably well reproduced by a DWBA calculation and the ratios of the cross sections are roughly proportional to the ratios of the squares of the proton and neutron single-particle wave functions at some radius in the asymptotic region. A study of the (d, t) and (d, 3He) reactions on 20sPb at 50 MeV (Par+ 69) has shown that these reactions are localized in the extreme surface region and this explains why the ratio of the cross sections is proportional to the squares of the asymptotic tails of the wave functions.
In the symmetric coplanar (p, 2p) experiment (Fig. 7) we have e=O (34) so that Q = Po - 2PI cos () PI = P2 = (35) t V2Po(1 + QplEo)! (36) where Qp = -SpA is the Q-value for the reaction, and SpA is the proton separation energy. Using these formulas we can compare, for example, the 12C(p, 2p) and 12C(p, d) reactions at 155 Me V: in the former, the range of Q covered is - 150 < Q < 150 Me VIe, whereas the range of P in the latter reaction is 140 < P < 530 MeV/c. , the Is states, will show up much more strongly in the (p, 2p) reaction than in the (p, d) reaction.
Advances in Nuclear Physics: Volume 4 by Daphne F. Jackson (auth.), Michel Baranger, Erich Vogt (eds.)