arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0809.0565nucl-th
收藏

三体部分衰变宽度精确计算的必要条件

Necessary conditions for accurate computations of three-body partial decay widths

E. Garrido, A. S. Jensen, D. V. Fedorov

摘要:

共振衰减为三个碎片的部分宽度主要取决于能量小于产生相应波函数的有效势的距离。在短距离上,多体性质是由预形成或光谱因素来解释的。我们用绝热膨胀方法结合WKB近似,得到了在中等和较大距离上必不可少的团簇模型波函数。我们测试的概念,推导条件的最小基础表示的分波和径向节点。我们比较不同的有效的相互作用和方法的结果。协议被发现与实验值为一个足够大的基础。我们说明了现实的例子,从$α$ -发射的$^{12}$ C和双质子发射的$^{17}$ Ne的想法。精确的动量分布的基础要求进行了简要讨论。

英文摘要:

The partial width for decay of a resonance into three fragments is largely determined at distances where the energy is smaller than the effective potential producing the corresponding wave function. At short distances the many-body properties are accounted for by preformation or spectroscopic factors. We use the adiabatic expansion method combined with the WKB approximation to obtain the indispensable cluster model wave functions at intermediate and larger distances. We test the concept by deriving conditions for the minimal basis expressed in terms of partial waves and radial nodes. We compare results for different effective interactions and methods. Agreement is found with experimental values for a sufficiently large basis. We illustrate the ideas with realistic examples from $α$-emission of $^{12}$C and two-proton emission of $^{17}$Ne. Basis requirements for accurate momentum distributions are briefly discussed.

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。

↑