TITLE:
Computing Transfer Amplitude between BCS-Pair Condensates
AUTHORS:
Z. Y. Xia
KEYWORDS:
BCS, Spectroscopic Factor, Pair-Transfer Amplitude, Cluster-Transfer Amplitude
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.7,
July
12,
2022
ABSTRACT: I propose a new algorithm that uses recursive relations to compute spectroscopic factor, pair transfer amplitude and cluster transfer amplitude. I demonstrate the algorithm that it can be calculated very quickly and stored within small computer memory consumption. In BCS case, the particle number is always conserved and the time-consuming projection is avoided. I drive analytical expressions for the pair transfer amplitude and the cluster transfer amplitude expressed by asymmetry many-pair density matrix. This algorithm practically could be used in all of the nuclear double beta decay fields, the heavy cluster emission fields and the single-nucleon transfer of the odd-mass isotopes.