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arXiv 2303.16488nucl-th
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组态相互作用方法中的诱发裂变示意图模型

Schematic model for induced fission in a configuration-interaction approach

K. Uzawa, K. Hagino

AI总结:

该研究通过简化模型空间中的组态相互作用方法,发现非对角中子-质子相互作用对裂变概率和透射系数的影响远大于配对与非绝热相互作用,且分支比对断开发动力学不敏感,支持玻尔-惠勒理论假设。

摘要:

我们在一个简化的模型空间中模拟势垒顶部能量下的裂变,该模型空间允许比较剩余核子-核子相互作用的不同组成部分。模型空间建立在参考组态的粒子-空穴激发之上。这些参考组态是均匀分布轨道的斯莱特行列式,仅由其量子数和轨道能量表征。哈密顿量中的剩余相互作用包括连接不同形变下相似轨道的非绝热相互作用、同类核子之间的配对相互作用,以及一个示意图性的非对角中子-质子相互作用。我们发现裂变反应概率对非对角中子-质子相互作用的敏感性远高于对配对和非绝热相互作用的敏感性。特别是,当中子-质子相互作用较强时,透射系数对配对相互作用的强度变得不敏感。我们还发现,分支比对末态断开发动力学不敏感,正如著名的玻尔-惠勒理论所假设的那样。

英文摘要:

We model fission at barrier-top energies in a simplified model space that permits comparison of different components of the residual nucleon-nucleon interaction. The model space is built on particle-hole excitations of reference configurations. These are Slater determinants of uniformly spaced orbitals characterized only by their quantum numbers and orbital energies. The residual interaction in the Hamiltonian includes the diabatic interaction connecting similar orbitals at different deformations, the pairing interaction between like nucleons, and a schematic off-diagonal neutron-proton interaction. We find that the fission reaction probability is sensitive to the off-diagonal neutron-proton interaction much more than to the pairing and the diabatic interactions. In particular, the transmission coefficients become insensitive to th e strength of the pairing interaction when the neutron-proton interaction is large. We also find that the branching ratio is insensitive to the final-state scission dynamics, as is assumed in the well-known Bohr-Wheeler theory.

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