Elsevier

Nuclear Physics A

Volume 424, Issue 1, 30 July 1984, Pages 47-59
Nuclear Physics A

Variational calculations of resonant states in 4He

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Abstract

We present a modified R-matrix method which allows microscopic calculations of nucleon-nucleus scattering at low energies. This method may be applied in conjunction with any of the commonly used methods for the ground states of few-body systems, i.e. the Green function Monte Carlo, Faddeev and variational techniques. We then report results of variational calculations of low-energy tp scattering in the region of 0+, 0 and 2 resonances in 4He. The energies and widths of these resonances are calculated using realistic two- and three-nucleon interactions; but, the Coulomb interaction is neglected. The three-nucleon interaction is found to have a much smaller effect on the energies of the resonances than on the ground-state energy.

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Supported by NSF grant PHY81-21399 and US DOE contract W-31-109-ENG-38.

Present address: Courant Institute for Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA.

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