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Statistical ensembles and fragmentation of finite nuclei

机译：有限核的统计组合和碎片

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摘要

Statistical models based on different ensembles are very commonly used to describe the nuclear multifragmentation reaction in heavy ion collisions at intermediate energies. Canonical model results are more appropriate for finite nuclei calculations while those obtained from the grand canonical ones are more easily calculable. A transformation relation has been worked out for converting results of finite nuclei from grand canonical to canonical and vice versa. The formula shows that, irrespective of the particle number fluctuation in the grand canonical ensemble, exact canonical results can be recovered for observables varying linearly or quadratically with the number of particles. This result is of great significance since the baryon and charge conservation constraints can make the exact canonical calculations extremely difficult in general. This concept developed in this work can be extended in future for transformation to ensembles where analytical solutions do not exist. The applicability of certain equations (isoscaling, etc.) in the regime of finite nuclei can also be tested using this transformation relation.
机译：基于不同集合的统计模型非常常用于描述中间能量的重离子碰撞中的核多边形反应。规范模型结果更适合有限核计算，而从大规范型的那些更容易可计算。已经解决了转变关系，用于将有限核的结果从大广大规范转换为规范，反之亦然。该公式表明，与大规范合奏中的粒子数波动无关，可以恢复精确的规范结果，以便随着颗粒的数量线性地或数而变化或向右变化。这种结果具有重要意义，因为缩龙和电荷保护约束可以使精确的规范计算通常非常困难。在这项工作中开发的这一概念可以在将来扩展到转换为分析解决方案不存在的集合。还可以使用该转化关系测试某些方程（等式等式等）在有限核的制度中的适用性。

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