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Simple formula for the vertex form factor of the virtual decay of a three-particle nucleus

Journal Article · · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)
OSTI ID:7082242
In the solution of the Faddeev equations in practice the pair t matrix is usually approximated by a finite number of separable terms, which enables one to reduce the problem to the solution of a system of one-dimensional integral equations. In so doing, the Faddeev component psi/sup i k/ of the ''nonmassive'' wave function of the three-particle system depends explicitly on the pair energy E/sub i k/. It is shown that in this case by a simple limiting transition in the energy E/sub i k/ to the pole corresponding to a bound (quasi-bound) state of the two-particle subsystem )ik), it is possible to find the vertex function of the virtual decay )ikl)..-->..)ik)+l with particle l on the mass shell directly from the wave function psi/sup i k/ without calculating the overlap integral. As an example we consider the application of the Bateman method to the virtual decay of tritium into a deuteron (a ''singlet deuteron'') and a real neutron.
Research Organization:
Institute of Nuclear Physics of the Moscow State University
OSTI ID:
7082242
Journal Information:
Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 25:2; ISSN SJNCA
Country of Publication:
United States
Language:
English