Determination of low-energy parameters of neutron-proton scattering in the the shape-parameter approximation from present-day experimental data |
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Authors: | V A Babenko and N M Petrov |
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Institution: | 1.Bogolyubov Institute for Theoretical Physics,National Academy of Sciences of Ukraine,Kyiv,Ukraine |
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Abstract: | On the basis of the total cross sections for neutron-proton scattering in the region of laboratory energies below 150 keV,
the value of σ0 = 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 σ0 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
0t
= 1.7606(35) fm, v
2t
= 0.157 fm3, a
s
= −23.7154(80) fm, r
0s
= 2.706(67) fm, and v
2s
= 0.491 fm3. |
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Keywords: | |
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