Fermi疑似ポテンシャル(Ferimi's pseudopotential)

最終更新日:2023.5.1

中性子散乱では、中性子と物体の間に働く相互作用は核力です。核力の及ぶ距離は10^-13 cm程度なので、散乱実験に用いる中性子の波長(10^-8 cm程度)と比較すると全く無視できるほど小さいものです。従って中性子と散乱体(単一核)の相互作用はデルタ関数的で、そのフーリエ変換は一定値bとなります。これが散乱長です。よって、単一核の散乱強度(微分散乱断面積)はb^2となります。散乱角(散乱の方向)依存しない点に注意してください。
In neutron scattering, the interaction between neutrons and an object is the nuclear force. The distance covered by the nuclear force is about 10^-13 cm, which is negligible compared to the wavelength of neutrons used in scattering experiments (about 10^-8 cm). Therefore, the interaction between the neutron and the scatterer (a single nucleus) is delta-functional, and its Fourier transform has a constant value b. This is the scattering length. Therefore, the scattering intensity (differential scattering cross section) of a single nucleus is b^2. Note that it is independent of the scattering angle (direction of scattering).