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arXiv 2201.05814nucl-th
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双质子发射系统学

Two-proton emission systematics

D. S. Delion, S. A. Ghinescu

摘要:

两个质子的同时发射是一个奇特而复杂的三体过程。对于研究质子滴线上的核稳定性的实验组来说,有一个简单的规则来预测两个质子的衰变宽度是非常重要的,该规则对于基态和激发态之间的跃迁具有合理的准确度,并且是根据相关的物理变量来预测的。尽管它的复杂性,我们表明,两个质子发射过程服从类似的规则,如质子,α和重集群衰变的二元发射过程。结果表明,衰变宽度的对数,经离心势垒校正后,在一个数量级内线性依赖于库仑参数。另一方面,普遍的线性关系与负斜率之间的对数的约化宽度和碎裂电位,适用于任何类型的二元衰变过程,也履行了两个质子的发射具有相对较好的精度。作为配对关联的结果,两个质子同时从单重配对状态发射。我们的证据表明,确实得到了一个线性关系的对数减少的宽度和配对间隙的一个因素内的两个,给这个法律一个很好的预测能力。结果表明,双质子和α-团簇形成的概率与配对间隙具有相似的模式,而在单质子的情况下,具有准常数行为。

英文摘要:

The simultaneous emission of two protons is an exotic and complex three-body process. It is very important for experimental groups investigating the nuclear stability on the proton drip line to have a simple rule predicting the two-proton decay widths with a reasonable accuracy for transitions between ground as well as excited states in terms of relevant physical variables. In spite of its complexity, we show that the two-proton emission process obeys similar rules as for binary emission processes like proton, alpha and heavy cluster decays. It turns out that the logarithm of the decay width, corrected by the centrifugal barrier, linearly depends upon the Coulomb parameter within one order of magnitude. On the other hand, the universal linear dependence with a negative slope between the logarithm of the reduced width and the fragmentation potential, valid for any kind of binary decay process, is also fulfilled for the two-proton emission with a relative good accuracy. As a consequence of pairing correlations the two protons are simultaneously emitted from a singlet paired state. We evidence that indeed one obtains a linear dependence between the logarithm of the reduced width and pairing gap within a factor of two, giving a good predictive power to this law. It turns out that the diproton and alpha-cluster formation probabilities have similar patterns versus the pairing gap, while in the one-proton case one has a quasi-constant behavior.

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