학술논문

Simple formula for the vertex form factor of the virtual decay of a three-particle nucleus
Document Type
Journal Article
Author
Source
Sov. J. Nucl. Phys. (Engl. Transl.); (United States); 25:2
Subject
73 NUCLEAR PHYSICS AND RADIATION PHYSICS FADDEEV EQUATIONS
VERTEX FUNCTIONS
TRITIUM
DECAY
DEUTERONS
FORM FACTORS
HELIUM 3
NEUTRONS
VIRTUAL STATES
WAVE FUNCTIONS
BARYONS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
CHARGED PARTICLES
ELEMENTARY PARTICLES
ENERGY LEVELS
EQUATIONS
EVEN-ODD NUCLEI
FERMIONS
FUNCTIONS
HADRONS
HELIUM ISOTOPES
HYDROGEN ISOTOPES
ISOTOPES
LIGHT NUCLEI
NUCLEI
NUCLEONS
ODD-EVEN NUCLEI
PARTICLE PROPERTIES
RADIOISOTOPES
STABLE ISOTOPES
YEARS LIVING RADIOISOTOPES 651212* -- Nuclear Properties & Reactions, A=1-5, Theoretical-- Radioactive Decay-- (-1987)
Language
English
Abstract
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.