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Computing Transfer Amplitude between BCS-Pair Condensates

Computing Transfer Amplitude between BCS-Pair Condensates
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摘要 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. 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.
作者 Z. Y. Xia Z. Y. Xia(Department of Physics, University of Shanghai for Science and Technology, Shanghai, China)
机构地区 Department of Physics
出处 《Journal of Applied Mathematics and Physics》 2022年第7期2131-2140,共10页 应用数学与应用物理(英文)
关键词 BCS Spectroscopic Factor Pair-Transfer Amplitude Cluster-Transfer Amplitude BCS Spectroscopic Factor Pair-Transfer Amplitude Cluster-Transfer Amplitude
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