Determination of low-energy parameters of neutron-proton scattering in the the shape-parameter approximation from present-day experimental data

• Published in: Physics of atomic nuclei 2010-09, Vol.73 (9), p.1499-1506
• Main Authors: Babenko, V. A., Petrov, N. M.
• Format: Article
• Language: English
• Subjects: ANGULAR MOMENTUM; APPROXIMATIONS; BARYON-BARYON INTERACTIONS; BINDING ENERGY; CALCULATION METHODS; CHARGED PARTICLES; COHERENT SCATTERING; CROSS SECTIONS; DATA; DEUTERONS; DIMENSIONS; ENERGY; ENERGY RANGE; EXPERIMENTAL DATA; HADRON-HADRON INTERACTIONS; INFORMATION; INTERACTIONS; KEV RANGE; LENGTH; MEV RANGE; MULTIPLETS; NUCLEAR PHYSICS AND RADIATION PHYSICS; Nuclei; NUCLEON-NUCLEON INTERACTIONS; NUMERICAL DATA; Particle and Nuclear Physics; PARTICLE INTERACTIONS; PARTICLE PROPERTIES; Physics; Physics and Astronomy; PROTON-NEUTRON INTERACTIONS; PROTON-NUCLEON INTERACTIONS; SCATTERING; SCATTERING LENGTHS; SPIN; TOTAL CROSS SECTIONS; TRIPLETS
• ISSN: 1063-7788; 1562-692X
• DOI: 10.1134/S1063778810090048

On the basis of the total cross sections for neutron-proton scattering in the region of laboratory energies below 150 keV, the value of σ 0 = 20.4288(146) b was obtained for the total cross sections for neutron-proton scattering at zero energy. This value is in very good agreement with the experimental cross sections obtained by Houke and Hurst, but it is at odds with Dilg’s experimental cross section. By using the value that we found for σ 0 and the experimental values of the neutron-proton coherent scattering length f , the deuteron binding energy ɛ t , the deuteron effective radius ρ t (−ɛ t , −ɛ t ), and the total cross section in the region of energies below 5 MeV, the following values were found in the shape-parameter approximation for the low-energy parameters of neutron-proton scattering in the spin-triplet and spin-singlet states: a t = 5.4114(27) fm, r 0 t = 1.7606(35) fm, v 2 t = 0.157 fm 3 , a s = −23.7154(80) fm, r 0 s = 2.706(67) fm, and v 2 s = 0.491 fm 3 .