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Development of a Cox-Thompson inverse scattering method to charged particles

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arxiv 1111.6051 v1 pith:LUHRVFMT submitted 2011-11-25 nucl-th math-phmath.MPquant-ph

classification nucl-thmath-phmath.MPquant-ph
keywords inversecox-thompsoninteractionmethodpotentialsscatteringbeencharged
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A Cox-Thompson fixed-energy quantum inverse scattering method is developed further to treat long-range Coulomb interaction. Depending on the reference potentials chosen, two methods have been formulated which produce inverse potentials with singular or finite value at the origin. Based on the quality of reproduction of input experimental phase shifts, it is guessed that the p-alpha interaction possesses an interesting repulsive hard core.

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