Effect of a spurious component of the potential in Faddeev-type equations

Larsen, Sigurd Yves

doi:10.1007/bf01080539

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Spurious Component1

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Cited by 8 publications

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“…The occurrence of this spurious component in the potential has been discussed in Ref. [18,27]. This component contributes in the SIDE, i.e when V [Lm] (r) in Eq.…”

Section: Spurious Componentmentioning

confidence: 92%

Method for solving the many-body bound state nuclear problem

Sofianos

Adam

2005

Annals of Physics

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We present a method based on hyperspherical harmonics to solve the nuclear manybody problem. It is an extension of accurate methods used for studying few-body systems to many bodies and is based on the assumption that nucleons in nuclei interact mainly via pairwise forces. This leads to a two-variable integro-differential equation which is easy to solve. Unlike methods that utilize effective interactions, the present one employs directly nucleon-nucleon potentials and therefore nuclear correlations are included in an unambiguous way. Three body forces can also be included in the formalism. Details on how to obtain the various ingredients entering into the equation for the A-body system are given. Employing our formalism we calculated the binding energies for closed and open shell nuclei with central forces where the bound states are defined by a single hyperspherical harmonic. The results found are in agreement with those obtained by other methods.

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“…The occurrence of this spurious component in the potential has been discussed in Ref. [18,27]. This component contributes in the SIDE, i.e when V [Lm] (r) in Eq.…”

Section: Spurious Componentmentioning

confidence: 92%