Effective shell-model interactions

Poppelier, Nico; Brussaard, P.J.

doi:10.1016/0375-9474(91)90752-r

Cited by 13 publications

(17 citation statements)

References 10 publications

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“…(12) is used, the number of iterations needed to achieve convergence varies with the starting energy and is generally larger than the number of iterations for Eq. (16). However, as also indicated in the table, when Eq.…”

Section: Convergence Propertiessupporting

confidence: 51%

“…Table I. The convergence properties of the iteration procedures (12) and (16) in a simple case for which the G-matrix is one-dimensional and of the form G(ω) given by Eq.(34). In the table, ω is the starting energy which we vary.…”

Section: Discussionmentioning

confidence: 99%

“…In this section, we give a brief review of the Lee-Suzuki formalism [11,12,16] and adapt it to our version of the nuclear no-core problem, point out the H 0 independence and introduce an alternative iteration scheme.…”

Section: H Eff : Methods and Propertiesmentioning

confidence: 99%

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Exact solutions of model hamiltonian problems with effective interactions

1993

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Section: Convergence Propertiessupporting

confidence: 51%

Section: Discussionmentioning

confidence: 99%

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Exact solutions of model hamiltonian problems with effective interactions

1993

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“…where V 2eff,1 = P 2 G(ε)P 2 . This method, which relies on the G-matrix derivatives G (m) , was applied in shell-model calculations for the first time by Poppelier and Brussard [14]. In that and most other applications different numerical approximations were used to evaluate the derivatives [4,7,14].…”

Section: Shell Model Hamiltonian and Starting-energy Independent Effe...mentioning

confidence: 99%

No-core shell-model calculations with starting-energy-independent multivalued effective interactions

1996

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Large-space no-core shell model calculations have been performed for 3 H, 4 He, 5 He, 6 Li, and 6 He, using a starting-energy-independent two-body effective interaction derived by application of the Lee-Suzuki similarity transformation. This transformation can be performed by direct calculation or by different iteration procedures, which are described. A possible way of reducing the auxiliary potential influence on the two-body effective interaction has also been introduced. The many-body effects have been partially taken into account by employing the recently introduced multi-valued effective interaction approach. Dependence of the 5 He energy levels on the harmonic-oscillator frequency as well as on the size of the model space has been studied. The Reid 93 nucleon-nucleon potential has been used in the study, but results have also been obtained using the Nijmegen II potential for comparison.

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“…With recent developments on the effective interaction theory, i.e., the use of the no-core model space [1,2] and the Lee-Suzuki approach [3,4,5] to the folded-diagram series, we can now calculate the effective two-body interaction accurately. The question is how to choose u to give the best approximation to the exact results when retaining only the V (2) eff part of the effective Hamiltonian.…”

Section: Introductionmentioning

confidence: 99%