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THREE BODY PROBLEM FOR SHORT RANGE FORCES. I. SCATTERING OF LOW ENERGY NEUTRONS BY DEUTERONS

Journal Article · · Soviet Phys. JETP
OSTI ID:4322571

An exact solution is obtained for the three body problem in the limiting case of a vanishingly small radius of action of the forces. In this case, the Schrodinger equation for the system of three particles reduces, for motion with a definite momentum, to an integral equation for a function of a single variable. The solution is used for the calculation of the neutron-deuteron scattering cross section. In the limiting case of zero energy of the neutrons, the theory gives the values a/sub 3/2 =0.51 x l0/sup -12/ cm/sub a1/2/ = 0.30 x l0/sup -12/ cm for the scattering amplitudes. (auth)

Research Organization:
Originating Research Org. not identified
NSA Number:
NSA-12-003362
OSTI ID:
4322571
Journal Information:
Soviet Phys. JETP, Journal Name: Soviet Phys. JETP Vol. Vol: 4
Country of Publication:
Country unknown/Code not available
Language:
English

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