Utility of nucleon-target profile function in cross section calculations

被引:64
作者
Abu-Ibrahim, B [1 ]
Suzuki, Y
机构
[1] Niigata Univ, Dept Phys, Niigata 9502181, Japan
[2] Cairo Univ, Dept Phys, Giza 12613, Egypt
来源
PHYSICAL REVIEW C | 2000年 / 61卷 / 05期
关键词
D O I
10.1103/PhysRevC.61.051601
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We test the utility of an effective nucleon (N)-C-12 profile function in calculating nucleus-C-12 optical phase shift function in the Glauber theory. A calculation of the complete Glauber amplitude is performed by using wave functions for He-4 and He-6 projectiles, leading to the reaction and elastic differential cross sections in good agreement with experiment. By relating the N-C-12 profile function to the NN profile function, we derive a new, simple formula to calculate reaction cross sections which requires only nuclear densities as an input. By applying this formula to various combinations of He-4, He-6, Be-9, C-12, and (27)AI, we can reproduce cross sections measured at 800 MeV/nucleon to much higher accuracy than the optical limit approximation.
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