تقرير
Connection between effective-range expansion and nuclear vertex constant or asymptotic normalization coefficient
| العنوان: | Connection between effective-range expansion and nuclear vertex constant or asymptotic normalization coefficient |
|---|---|
| المؤلفون: | Yarmukhamedov, R., Baye, D. |
| سنة النشر: | 2011 |
| المجموعة: | Nuclear Theory |
| مصطلحات موضوعية: | Nuclear Theory |
| الوصف: | 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+$p$, $\alpha+t$ and $\alpha+^3$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. Comment: 17 pages, 6 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevC.84.024603 |
| URL الوصول: | http://arxiv.org/abs/1102.1528 |
| رقم الأكسشن: | edsarx.1102.1528 |
| قاعدة البيانات: | arXiv |
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