《Table 2 Parameters for theα-3He andα-3H systems.》

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《Parameterization of Nuclear Hulthén Potential for Nucleus-Nucleus Elastic Scattering》

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According to Levinsons theorem[51]each newly introduced bound state raises the zero energy phase shift by180?and for reasonable potentials the zero energy phase shifts for higher angular momenta are always integral multiple ofπ.The smaller the resonance widthΓ，the stronger is the change in scattering phase shift at E=ER.This implies that at smallΓthere is a sharp jump of the phase shift by nearlyπin a very close interval of energies.In the first step of computation all the parametersβ（l）1，β（l）2，C（l）1and C（l）2were varied continuously to reproduce a phase shiftδ0=2πfor theα-αsystem andδ3/2-=πfor theα-3He system in the zero energy limit.For all other states the strength parameters C（l）1and C（l）2were given free running，keeping the parametersβ（l）1andβ（l）2fixed，to obtain best possible agreement with standard data.[37，49-50]Recently，Li Xu et al.[52]obtained a reasonable description of the elastic scattering of triton by applying systematic helium-3 global optical model potential.Similarly，in this text also the nuclear part of theα-3He andα-3H systems are represented by the same nuclear Hulth′en interaction.It is obvious from the fact that the parameters for the nuclear part of the interaction，used in this text，for both the systems are identical.Here we have chosen to work with V0a=0.2758 fm-1forα-αsystem；[49]V0a=0.2364 fm-1forα-3He system；V0a=0.1182 fm-1forα-3H system and a=50 au（atomic unit）.Exploiting Eq.（6）along with the parameters in Tabless 1 and 2，we have portrayed the phase shifts for various partial wave states under consideration for theα-α，α-3He，andα-3H systems along with the standard results[37，49-50]in Figs.1–7 respectively.The results for the first and second order Born approximations are also presented in the figures for comparison.