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arXiv 1908.03178nucl-thhep-ph
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飞秒关联函数的求和规则

Sum Rule of Femtoscopic Correlation Function

Radoslaw Maj, Stanislaw Mrowczynski

摘要:

两个相对速度较小的粒子的关联函数服从求和规则--该函数的动量积分是由粒子的量子态的完备性决定的。1995年导出的原始求和规则有一个严重的问题:在物理上有趣的情况下,动量积分是紫外发散的。我们解决这个问题,考虑的总和规则,而不是一个单一的关联函数,但两个适当选择的关联函数的和或差。改进的求和规则被证明对精确的库仑关联函数是有效的。我们认为,总和规则可以用来测试的准确性和适用范围的关联函数计算的近似模型。以中子-质子关联函数为例进行了讨论。

英文摘要:

A correlation function of two particles with small relative velocities obeys a sum rule - the momentum integral of the function is determined due to the completeness of quantum states of the particles. The original sum rule derived in 1995 suffered from a serious problem: the momentum integral was ultraviolet divergent in physically interesting cases. We resolve the problem by considering the sum rule not of a single correlation function but of a sum or difference of two appropriately chosen correlation functions. The improved sum rule is shown to work well for the exact Coulomb correlation functions. We argue that the sum rule can be used to test an accuracy and range of applicability of correlation functions computed in approximate models. The neutron-proton correlation function is discussed as an example.

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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