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A new method of evaluating folding type integrals

Carstoiu, F ; Lombard, R.J

Annals of physics, 1992-08, Vol.217 (2), p.279-303 [Periódico revisado por pares]

SAN DIEGO: Elsevier Inc

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Título:
A new method of evaluating folding type integrals
Autor: Carstoiu, F ; Lombard, R.J
Assuntos: ACCURACY ; CALCULATION METHODS ; CHARGED-PARTICLE REACTIONS ; CLUSTER EXPANSION ; CORRELATION FUNCTIONS ; DEFORMED NUCLEI ; DELTA FUNCTION ; EVALUATION ; Exact sciences and technology ; FOLDING MODEL ; Function theory, analysis ; FUNCTIONS ; HEAVY ION REACTIONS ; INTEGRALS ; MANY-BODY PROBLEM ; Mathematical methods in physics ; MATHEMATICAL MODELS ; MATRIX ELEMENTS ; MONTE CARLO METHOD ; NUCLEAR MODELS ; NUCLEAR PHYSICS AND RADIATION PHYSICS ; NUCLEAR REACTIONS ; Nuclear Theory ; NUCLEI ; Physical Sciences ; Physics ; Physics, Multidisciplinary ; POTENTIALS ; SCATTERING ; Science & Technology ; SERIES EXPANSION 663120 -- Nuclear Structure Models & Methods-- (1992-)
É parte de: Annals of physics, 1992-08, Vol.217 (2), p.279-303
Notas: None
Descrição: The present work deals with a new method for evaluating folding type integrals. The method takes advantage of analytical properties of folding involving a δ-function. We discuss the cases for spherical and deformed folding potentials, and, further, we apply the technique to two-particle matrix elements and high rank folding integrals. In this last, considering the four particle diagrams appearing in the cluster expansion of the energy of the α particle gas, we compare the present approach to equivalent Monte-Carlo results. The comparison underlines the large reduction of the computational effort and the gain in accuracy brought by our method. Although our basic motivation arises from problems encountered in the calculation of optical pententials for heavy ion scattering, our method is general and relevant to several aspects of many-body theory.
Editor: SAN DIEGO: Elsevier Inc
Idioma: Inglês

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A new method of evaluating folding type integrals

Carstoiu, F ; Lombard, R.J

SAN DIEGO: Elsevier Inc

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