Accurate Three-Nucleon Bound-State Calculation with an Extended Separable Expansion of the Two-Body T-Matrix |
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Authors: | Y Koike W C Parke L C Maximon D R Lehman |
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Institution: | (1) Center for Nuclear Studies, Department of Physics, The George Washington University, Washington, DC 20052, USA, US |
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Abstract: | An accurate solution for the three-nucleon bound state is obtained within 1 keV in the binding energy and, on the whole,
better than 1% in the wave function, using a new systematic and efficient method. The method is based on a recently developed
separable expansion for any finite-range interaction, in which a rigorous separable series for the two-body t-matrix is obtained by expanding the wave function in terms of a complete set of basis functions inside the range of the potential.
In order to treat a potential with a strong repulsive core, as in the case of the Argonne potential, we develop a two-potential
formalism. The expansion starts with a few EST (Ernst, Shakin, and Thaler) terms in order to accelerate the convergence and
continues with an orthogonal set of polynomials, avoiding the known difficulties of a pure EST expansion. Thus, several techniques
are combined in the present extended separable expansion (ESE). In this way, the method opens a new systematic treatment for
accurate few-body calculations resulting in a dramatic reduction in the CPU time required to solve few-body equations.
Received November 6, 1996; revised April 14, 1997; accepted for publication April 30, 1997 |
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