Triton asymptotic normalization constants by the hyperspherical harmonics expansion method

Physics – Nuclear Physics

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We have calculated the asymptotic normalization constants (ANC) of the triton by comparing the asymptotic form of the triton wave function (obtained by the hyperspherical harmonics expansion method) with an appropriate tensor product of the deuteron wave function and the asymptotically free-neutron wave function. The convergence behavior of the binding energy (BE) and ANC have been studied for a simple S-projected potential (S3) and two exponential potentials. It is seen that convergence of the ANC needs many more partial waves than that of the BE, especially for potentials with a long tail.

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