We apply the algebraic Bethe technique to the nuclear pairing problem with certain limits. We obtain the exact energies and eigenstates, and find the symmetry between the states corresponding to less and more than half full shell. We also proved that the problem of solving BAE can be transformed into the problem of finding the roots of a hypergeometric polynomial, which is much simpler.
参考文献
| [1] | Richardson R W .[J].Physical Review,1967,159:792. |
| [2] | Kerman A K .[J].Annals of Physics(New York),1961,12:300. |
| [3] | Kerman A K;Lawson R D;MacFarlane M H .[J].Physical Review,1961,124:162. |
| [4] | Balantekin AB;Dereli T;Pehlivan Y .An exactly solvable model of interacting bosons[J].Journal of Physics, G. Nuclear and Particle Physics: An Institute of Physics Journal,2004(9):1225-1230. |
| [5] | Stieltjes T J.Sur Quelques Theoremess d'Algebre[A].Groningen:Noordhoff,1914 |
| [6] | A Erdelyi.Higher Transcendental Functions[M].McGraw-Hill,1953 |
| [7] | Pan F.;Ormand WE.;Draayer JP. .A particle-number-conserving solution to the generalized pairing problem[J].Physics Letters, B. Nuclear Physics and High Energy Physics,1998(1/4):1-5. |
| [8] | Kerman A K .[J].Annals of Physics(New York),1961,12:300. |
| [9] | Kerman A K;Lawson R D;MacFarlane M H .[J].Physical Review,1961,124:162. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%