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Manuscript Title: Rapid evaluation of four-body cluster contributions. | ||

Authors: G.P. Mueller | ||

Program title: FOURBODY | ||

Catalogue identifier: ABIA_v1_0Distribution format: gz | ||

Journal reference: Comput. Phys. Commun. 2(1971)214 | ||

Programming language: Fortran. | ||

Computer: CDC 3800. | ||

Operating system: SCOPE. | ||

RAM: 4K words | ||

Word size: 48 | ||

Keywords: Nuclear physics, Cluster expansion, Numerical integration, Four-body contributions, Haselgrove, Alpha matter, Monte-carlo, Equidistributed Sequence, Cluster model. | ||

Classification: 17.21. | ||

Nature of problem:Within the framework of the cluster expansion formalism we present a method for rapidly evaluating the four-body contributions to the ground state energy of an extended system of bosons, specifically, alpha matter. Since the numerical results for alpha matter have been published elsewhere, we present here a fictitious example for which the exact results are obtainable. | ||

Solution method:These calculations involve the numerical integration of six-dimensional integrals, which we evaluate using a method due to Haselgrove. For the same accuracy, this method seems to require less running time and oi easier to program than more conventional methods. | ||

Restrictions:The program is restricted to the evaluation of six-dimensional integrals, but can easily be modified to evaluate an integral of almost any dimension. | ||

Running time:Approximatley 15 s are needed on the CDC 3800 for results that are accurate to 5% for the example given here. For a more realistic problem, perhaps twice that much running time would be needed. |

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