Convergence and the third-order effective shell-model interaction

Sandel, M. S.; McCarthy, R. J.; Barrett, B. R.; Vary, James P.

doi:10.1103/physrevc.17.777

Cited by 18 publications

(4 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…folded diagrams and/or core-polarization diagrams [7]) using the G matrix. This renormalization procedure is incomplete, however, because so far, the corepolarization diagrams can only be included to, at most, the third order in the perturbation-theory expansion [8,9,10]. The incompleteness here presents a serious problem because convergence has not been attained within the lowest few orders of the perturbation expansion [8,11].…”

Section: Introductionmentioning

confidence: 99%

Large-space shell-model calculations for light nuclei

1994

Self Cite

View full text Add to dashboard Cite

An effective two-body interaction is constructed from a new Reidlike N N potential for a large no-core space consisting of six major shells and is used to generate the shell-model properties for light nuclei from A=2 to 6. For practical reasons, the model space is partially truncated for A=6. Binding energies and other physical observables are calculated and they compare favorably with experiment.

show abstract

Section: Introductionmentioning

confidence: 99%

Large-space shell-model calculations for light nuclei

1994

Self Cite

View full text Add to dashboard Cite

show abstract

“…They calculated the core-polarization term up to intermediate excitations of 22h and found that the intermediatestate summation did not converge until roughly 10h . Calculations by other groups showed that this problem also occurs for most third-order terms [24]. However, because the VSW effect is mainly produced by the tensor component of the NN force, it becomes less important for some modern NN interactions, which have weaker tensor components [4,25], but it does not cease to exist [24].…”

Section: Calculations Of V Using N N Potentialsmentioning

confidence: 99%

“…Calculations by other groups showed that this problem also occurs for most third-order terms [24]. However, because the VSW effect is mainly produced by the tensor component of the NN force, it becomes less important for some modern NN interactions, which have weaker tensor components [4,25], but it does not cease to exist [24].…”

Section: Calculations Of V Using N N Potentialsmentioning

confidence: 99%

Theoretical approaches to many-body perturbation theory and the challenges

Barrett¹

2005

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

View full text Add to dashboard Cite

A brief review of the history of many-body perturbation theory (MBPT) and its applications in nuclear physics is given. Problems regarding its application to nuclear-structure calculations are discussed and analysed. It is concluded that the usefulness of nuclear MBPT in terms of an expansion in the nuclear reaction matrix G for the calculation of effective interactions in shell-model investigations is severely challenged and restricted by the problems and uncertainties connected with this approach. New methods based on unitary transformation approaches have proven to be more accurate and reliable, particularly for light nuclei.

show abstract

“…To this end we have performed a series of calculations on the thermal properties of 20 Ne; we assume an inert 16 O core and use the Vary-Yang effective interaction in the 1s-0d shell. 15,16 We show that, in order to determine the thermal response of the quadrupole deformation of an axially-symmetric nucleus, it is better to consider the square of the quadrupole operator, Q [2] · Q [2] , rather than the quadrupole operator itself, as is usually done.…”

Section: Introductionmentioning

confidence: 99%

Quadrupole Deformation in Nuclei at Finite Temperature

1998

View full text Add to dashboard Cite

The intrinsic quadrupole deformation has been calculated at finite temperature in 20 Ne both in the mean-field approximation and using an exact shell model diagonalization. The results support the view that the phase transition seen at finite temperature in mean-field calculations is not due to the change in nuclear shape from deformed to spherical, but rather is a collective-to-non-collective transition. Both calculations indicate that the average deformation of 20 Ne changes from βrms ≈ 0.31 at zero temperature to just over βrms = 0.2 at T = 3.0 MeV. The calculations also suggest that, in the mean-field approximation, the square of the quadrupole operator, Q [2] · Q [2] , is a better indicator of shape changes than Q [2] itself. 2705 Mod. Phys. Lett. A 1998.13:2705-2713. Downloaded from www.worldscientific.com by UNIVERSITY OF CALIFORNIA @ SAN DIEGO on 04/12/15. For personal use only.

show abstract

Convergence and the third-order effective shell-model interaction

Cited by 18 publications

References 18 publications

Large-space shell-model calculations for light nuclei

Large-space shell-model calculations for light nuclei

Theoretical approaches to many-body perturbation theory and the challenges

Quadrupole Deformation in Nuclei at Finite Temperature

Contact Info

Product

Resources

About