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arXiv 2603.09372math-phmath.MP
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关于费米模型中慢中子与束缚质子散射的模型

On Fermi's model for the scattering of a slow neutron from a bound proton

Università Telematica Internazionale Uninettuno(国际因内图诺网络大学);Università degli Studi di Napoli “Federico II”(那不勒斯费德里科二世大学);Università degli Studi di Roma “La Sapienza”(罗马第一大学)

Domenico Finco, Raffaele Scandone, Alessandro Teta

AI总结:

本文推导了费米模型中慢中子与束缚质子散射的截面公式,基于δ势能相互作用和Born近似方法。

摘要:

我们考虑了一个由费米于1936年引入的模型哈密顿量,描述了一个由中子和受谐振束缚的质子组成的两粒子系统,其中中子-质子相互作用形式为δ势能。对于此类哈密顿量,我们证明了极限吸收原理,并描述了 stationary 散射理论。最后,我们推导了适用于Born近似下的费米散射截面公式。

英文摘要:

We consider a model Hamiltonian, introduced by Fermi in 1936, describing a two-particle system made of a neutron and a harmonically bound proton, where the neutron-proton interaction has the form of a $δ$-potential. For such Hamiltonian we prove the Limiting Absorption Principle and describe the stationary scattering theory. Finally, we derive Fermi's formula for the scattering cross-section valid in the Born approximation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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