Saturation of Nuclear Forces......Neutron Proton Scattering

Progress of Theoretical Physics, Apr 1957

With the help of a potential so chosen as to, in a sense, just satisfy the saturation requirements and the various experimental data on the deuteron, and nucleon-nucleon scattering at low energies, the neutron proton differential scattering cross-section σ(θ) is calculated at 100 Mev and 260 Mev in Born's approximation. The error due to the use of Born's approximation at 100 Mev is estimated. The calculated cross-sections are in fair agreement with experiment and indicate the desirability of making an exact phase shift calculation of σ(θ) for this potential.

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Saturation of Nuclear Forces......Neutron Proton Scattering

A. B. BHATIAt 0 S. M. SHAHtt 0 0 tUniversity of Alberta , Edmonton , Canada. ttphysi (a/ Research Laboratory , Ahmedabad , India With 'the help of a potEntial so cl:osen as to, in a sense, just satisfy the saruration requirements and the various experimEntal data on the deuteron, and nudeon-nuciOn scattering at low energies1 the neutron proton differential scattering ctcss-section rr (O) is calculated at 100Mev .and 260Mev in Born's approximation. The Error due to the use of Earn's approximation at 100Mev is estimated. The calculated cross-sectior.s are in fair agreement with experiment and indic~tte the desi~ability of mak_ing an exact phase shift calculation of rr (II) for this potential. Introduction Choice of potential We write the nucleon-nucleon potential in the form +[bot+b,e ~2] S12Vofe(r), a0>0, a0 +aa>o, a0 +a,>o, a0 +aa,>O, and a0 +aa+a,+aa,>o. The precise exchange depen.dence of triplet states is then obtained by assuming the equality sign in the first of the conditions (3), i.e., I'lj .,.,.= -4aa J7ofo (r). where To= 1.202 X I o-la em and r1 = I.400 X I o-13 em. A. B. Bhatia and. S. M. Shah - i (a0 +aa) <bot<a0 +aa, - i (a0 +aa+a,+aa,) <bot+b,t< (a0 +aa+a,+aa,). N-P scattering cross-sections at 100 and 260 Mev 260MEV References


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A. B. Bhatia, S. M. Shah. Saturation of Nuclear Forces......Neutron Proton Scattering, Progress of Theoretical Physics, 1957, 561-566, DOI: 10.1143/PTP.17.561