Calculations on the three-nucleon system using a separable expansion of local potentials

Details Calculations on the three-nucleon system using a separable expansion of local potentials Calculations on the three-nucleon system using a separable expansion of local potentials

Jan 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971nupha.160..449h&link_type=abstract

Nuclear Physics A, Volume 160, Issue 3, p. 449-459.

Physics

Nuclear Physics

8

Scientific paper

A separable expansion for local potentials called the unitary pole expansion (UPE) has been applied to the singlet-S soft-core Reid potential. The separable potentials obtained are used in conjunction with a separable tensor potential to calculate the triton binding energy, the nd doublet scattering length and the nd phase shifts in the 1/2+ state above and below break up. The convergence of the UPE is good especially for repulsive terms. The one term approximation (UPA) gives a triton energy differing by 0.04 MeV and a doublet scattering length differing by 0.14 fm from the values found for the local potential. The calculated phase shifts are in good agreement with the phase-shift analysis of Van Oers and Seagrave.
Work supported in part by the National Science Foundation.

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