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arXiv 1102.1528nucl-th
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有效射程展开与核顶点常数或渐近归一化系数的关系

Connection between effective-range expansion and nuclear vertex constant or asymptotic normalization coefficient

R. Yarmukhamedov, D. Baye

摘要:

导出了任意轨道动量下虚衰变$B\to A+a$的有效射程展开与核顶点常数或渐近归一化系数(ANC)之间的显式关系,以及($A+a$)束缚态能量的相应位置条件.它们对被控案件和中立案件都有效。将这些关系与标准有效范围函数组合到六阶使得如果ANC值从实验中已知,则可以将自由有效范围参数的数量减少到两个。用这种方法确定了$^{16}$ O+ $p$、$α+t$和$α+^3$ He碰撞的散射长度、有效射程和形状参数的值。由此产生的有效范围扩展这些碰撞是有效的能量大于5兆电子伏。

英文摘要:

Explicit relations between the effective-range expansion and the nuclear vertex constant or asymptotic normalization coefficient (ANC) for the virtual decay $B\to A+a$ are derived for an arbitrary orbital momentum together with the corresponding location condition for the ($A+a$) bound-state energy. They are valid both for the charged case and for the neutral case. Combining these relations with the standard effective-range function up to order six makes it possible to reduce to two the number of free effective-range parameters if an ANC value is known from experiment. Values for the scattering length, effective range, and form parameter are determined in this way for the $^{16}$O+$p$, $α+t$ and $α+^3$He collisions in partial waves where a bound state exists by using available ANCs deduced from experiments. The resulting effective-range expansions for these collisions are valid up to energies larger 5 MeV.

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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