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The no-core shell model with general radial bases

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arxiv 1208.6055 v1 pith:MYHAFIMF submitted 2012-08-30 nucl-th

classification nucl-th
keywords basisfunctionsno-coreradialcalculationsfalloffgeneralmodel
verification ladder T0 review T1 audit T2 compute T3 formal
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Calculations in the ab initio no-core shell model (NCSM) have conventionally been carried out using the harmonic-oscillator many-body basis. However, the rapid falloff (Gaussian asymptotics) of the oscillator functions at large radius makes them poorly suited for the description of the asymptotic properties of the nuclear wavefunction. We establish the foundations for carrying out no-core configuration interaction (NCCI) calculations using a basis built from general radial functions and discuss some of the considerations which enter into using such a basis. In particular, we consider the Coulomb-Sturmian basis, which provides a complete set of functions with a realistic (exponential) radial falloff.

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