用Hulthen势解Bohr Hamiltonian

The solution of the Bohr Hamiltonian with Hulthen potential

在解Bohr Hamiltonian的过程中出现了很多种方法,且有很多在最后都是用不同的势来得到不同的解析解,典型的有Coulomb-like和Kratzer-like势、Linear势、Davidson势.除此之外,还有Bohr sHarmonic-Oscillator解法、Wilets and Jean解法、Elliott-Evans-Park s解法等.这些解法都给出了与实验室比较接近的光谱,但其中有一个普遍现象:很多最后的解析能谱都比实验能谱低.在该文中用Hulthen势来作出它的修正能谱,以更好地与实验值接近.最后,用240U和240Pu作为例子来进行比较.

Numerous solutions of Bohr Hamihonian had been proposed since its derivation by choosing different forms of the potential V （β,γ）, for example, Coulomb-like and Kratzer-like potential, Linear potential, Davidson potential, and so on. Except for that, there were Bohr＇s Harmonic-Oscillator solution, Wilets and Jean solution, Elliott-Evans-Park＇s solution, and so on. Those solutions were all to be close to the experiment values of spectrum, but there was a problem that the date of the paper before were most below the experiment values, so we could see the solution of the article was the correctness of the before to the experiment data. In the end, we used the 240U and 240Pu to check the solution.