The nuclear reaction matrix

Krenciglowa, E.M.; Kung, C.L.; Kuo, T.T.S.; Osnes, E.

doi:10.1016/0003-4916(76)90278-5

Cited by 94 publications

(79 citation statements)

References 28 publications

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“…The definition of the Pauli operator for the G-matrix can be found in Refs. [5,7], where the so-called double-partitioned scheme has been used. This means that low-lying two-particle states are excluded byQ from The next step is to define the so-calledQ-box 1 given by…”

Section: Computational Details and Resultsmentioning

confidence: 99%

Comparison of the effective interaction to various orders in different mass regions

Hjorth‐Jensen¹,

Müther

Osnes

et al. 1996

J. Phys. G: Nucl. Part. Phys.

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The convergence of the perturbation expansion for the effective interaction to be used in shell-model calculations is investigated as function of the mass number A, from A = 4 to A = 208. As the mass number increases, there are more intermediate states to sum over in each higher-order diagram which contributes to the effective interaction. Together with the fact that the energy denominators in each diagram are smaller for larger mass numbers, these two effects could largely enhance higher-order contributions to the effective interaction, thereby deteriorating the order-by-order convergence of the effective interaction. This effect is counterbalanced by the short range of the nucleon-nucleon interaction, which implies that its matrix elements are weaker for valence single-particle states in "large" nuclei with large mass number as

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Section: Computational Details and Resultsmentioning

confidence: 99%

Comparison of the effective interaction to various orders in different mass regions

Hjorth‐Jensen¹,

Müther

Osnes

et al. 1996

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

show abstract

“…[19] Note that the single-particle Hamiltonian is contained in the definition of the G-matrix Eq.29. As the intermediate states involved in the G-matrix are predominantly of high excitation energies, we make the reasonable physical choice that the single-particle spectrum HO for the C-space may be replaced by the free kinetic spectrum T. Thus, the G-matrix equation becomes…”

Section: Grégoire Et Al /Level Density Parameter Of Nuclei At Finmentioning

confidence: 99%

“…For example, the calculation performed by Krenciglowa et al [19] was for the s-d shell nuclei and employed a model space of (rci,n 2 ,ra 3 ) = (3,10,21). The model space of (6,15,28) used in the present work is much larger and consequently the calculation involved is considerably more extensive.…”

Section: Grégoire Et Al /Level Density Parameter Of Nuclei At Finmentioning

confidence: 99%

“…The model space of (6,15,28) used in the present work is much larger and consequently the calculation involved is considerably more extensive. A number of improvements have been implemented in our earlier G-matrix programs [19] in order to carry out the present calculation.…”

Section: Grégoire Et Al /Level Density Parameter Of Nuclei At Finmentioning

confidence: 99%

“…The model-space projection operator involved in the G-matrix calculation will be treated accurately. [19] iii) A determination of the ring-diagram summation via the solution of the RPA equations. The grand potential is in turn deduced from the ring diagram expression.…”

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confidence: 99%

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