By E. Rapaport
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G. R. G. Newton, "Scattering Theory of Waves and Particles", McGraw Hill Book Company, New York (1968). 2. see. g. K. Wildermuth, z. f. Phys. 127, 92 and 122 (1949). 3. g. C. Mahaux and H. A. WeidenmUller, "Shell-Model Approach to Nuclear Reactions", North Holland Publishing Company, Amsterdam-London (1969). 4. K. Wildermuth and W. McClure, "Cluster Representations of Nuclei", Springer-Tracts in Modern Physics, Vol. 41, Berlin-Heidelberg-New York (1966) • 43 5. P. Heiss, H. H. Hackenbroich, Z. f.
Therefore the terms which would describe three- and more-particle decays can be included into the sum of the bound structures. +This means in the theory described here any kind of moreparticle-decays are also contained in principle. As in the theory discussed by Prof. Sandhas the problems with the asymptotic boundary conditions of the three- and moreparticle decay-channels appear also here. But very probably one can simplify these problems by putting the asymptotic boundary conditions already to a large part into the "ansatz" for the trial functions.
For V(R) and K(R,R') one obtains the following ex- plicit forms: (40) KT is the exchange term which comes from the kinetic energy operator and KV the exchange term which comes from the two-nucleon forces. X X n 2 s 2 1216 47hzs [10M - E- ~(1125 ~ K2 1568 _,. _,. 1216 _,. z + 1125 R' + 1125 R·R')] ( 41) X 22 16KS(R+4R'l 75(3S+2K) (1+~) 3/2 X (l+ B 3 2 ] ( 4 2) If one takes into account exchange forces the procedure of the calculation remains pr1ncipally the same as can be seen easily. The same is true if one considers, for instance, two and more channel-problems and if one includes bound structures with linear variational amplitudes into the calculations.