Asymptotic normalization parameter of the triton
On the basis of exact separable potential calculations, we show that there is a significant variation of the asymptotic normalization parameter C/sub t//sup 2/ of the triton with its binding energy. We present a partial wave dispersion relation technique for determining this parameter from the triton energy, the doublet n-d scattering length, the doublet, s-wave, n-d inelasticities, and the two-nucleon, on-shell scattering amplitudes. We test the method and find it to be accurate and stable with only low-energy information used as input. For a doublet scattering length of 0.65 fm we obtain C/sub t//sup 2/ = 3.3 +- 0.1, where the error limits are determined from uncertainties in the inelasticities and the analytic continuation of the two-nucleon amplitudes to negative energies.
- Research Organization:
- Department of Physics and Astronomy, State University of New York at Buffalo, Amherst, New York 14260
- OSTI ID:
- 6134293
- Journal Information:
- Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 19:3; ISSN PRVCA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
A=1-5
Theoretical-- Mass
Abundance
& Binding Energy-- (-1987)
651215 -- Nuclear Properties & Reactions
A=1-5
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BARYON-BARYON INTERACTIONS
BINDING ENERGY
CHARGED PARTICLES
DISPERSION RELATIONS
ELASTIC SCATTERING
ENERGY
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATHEMATICAL MODELS
NEUTRON-DEUTERON INTERACTIONS
NUCLEAR MODELS
NUCLEON-DEUTERON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
SCATTERING
SCATTERING AMPLITUDES
SHELL MODELS
TRITONS