Investigation of n-<b>α</b> scattering by combining complex momentum representation and Green’s function

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Abstract

Nuclear scattering is a very important physical phenomenon in which the resonance state plays an important role. In order to study the two-body system n-α scattering, Green’s function is introduced under the complex momentum representation, so the complex momentum representation-Green’s function approach is established. This method is used to study the elastic scattering of n-α system. By extracting the resonances, it is found that the contributions of resonances in continuum level density, phase shift, and cross section are more important. In the case without introducing any non-physical parameters, it is very helpful to understand the resonant states and the non-resonance continuum states by analyzing the data of scattering states. In this work, we mainly study the p-wave scattering with the orbital angular momentum l= 1, where P _1/2is a wide resonance state and P _3/2is narrow resonance state. The study shows that the sharp resonance peak of p-wave scattering gives rather broad distribution to the scattering phase shift and the cross section of the n-α system. By comparison, we can see that the theoretical calculation results and experimental data are in good consistence.

Keywords:

complex momentum representation-Green’s function/
resonant states/
scattering phase shift/
cross section

Authors and contacts

Corresponding author:Guo Jian-You,jianyou@ahu.edu.cn

Funds:Project supported by the National Natural Science Foundation of China (Grant No. 11575002).

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DownLoad: Full-Size Img PowerPoint

	$V^{\rm {\rm {c}}}$/MeV	$ {\mu}^{\rm {c}} /{{\rm{f}}{{\rm{m}}^{ - 2}}}$	$ V_{l}^{\rm {c}}\!$/MeV	$ {\mu}_{ {l}}^{\rm {c}} /{{\rm{f}}{{\rm{m}}^{ - 2}}} $
	$ -96.3 $	$ 0.36 $	$ 34.0 $	$ 0.20 $
Central	$ 77.0 $	$ 0.90 $	$ -85.0 $	$ 0.53 $
			$ 51.0 $	$ 2.50 $
	$V^{\rm{ls}}$/MeV	${\mu}^{ \rm{ls}} /{{\rm{f}}{{\rm{m}}^{ - 2}}}$	$V_{ {l}}^{ \rm{ls}}$/MeV	${\mu}_{ {l}}^{\rm{ls}} /{{\rm{f}}{{\rm{m}}^{ - 2}}}$
Spin-orbit	$ -16.8 $	$ 0.52 $	$ -20.0 $	$ 0.396 $
Spin-orbit			$ 20.0 $	$ 2.200 $

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Vol. 68, Issue 9 - 2019-05-05

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