Converged values of second-order core-polarization diagrams with orthogonalized-plane-wave intermediate states

Kung, C.L.; Kuo, T.T.S.; Ratcliff, K.F.

doi:10.1103/physrevc.19.1063

Cited by 20 publications

(24 citation statements)

References 17 publications

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“…In this regard, it is appropriate to mention the papers by Vary et al [28], Kung et al [29], and Sommermann et al [30], where the convergence rate of the sum over intermediate-particle states in the second-order core polarization contribution to the effective shell-model interaction was studied, using realistic potentials renormalized by way of the Brueckner theory [31].…”

Section: Convergence With Respect To the Intermediate-state Spacementioning

confidence: 99%

Effective shell-model hamiltonians from realistic nucleon–nucleon potentials within a perturbative approach

et al. 2012

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This paper discusses the derivation of an effective shell-model hamiltonian starting from a realistic nucleon-nucleon potential by way of perturbation theory. More precisely, we present the state of the art of this approach when the starting point is the perturbative expansion of theQ-box vertex function. Questions arising from diagrammatics, intermediate-states and orderby-order convergences, and their dependence on the chosen nucleon-nucleon potential, are discussed in detail, and the results of numerical applications for the p-shell model space starting from chiral next-to-next-to-next-to-leading order potentials are shown. Moreover, an alternative graphical method to derive the effective hamiltonian, based on theẐ-box vertex function recently introduced by Suzuki et al., is applied to the case of a non-degenerate (0+2) ω model space. Finally, our shell-model results are compared with the exact ones obtained from no-core shell-model calculations.

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Section: Convergence With Respect To the Intermediate-state Spacementioning

confidence: 99%

Effective shell-model hamiltonians from realistic nucleon–nucleon potentials within a perturbative approach

et al. 2012

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“…where ͗Kq000͑⌳⌳͒ ͉k 1 0 1 2 k 2 0 1 2 , J =0 ͘ are the appropriate transformation coefficients [32,33] from the relative and center-of-mass frame to the laboratory system. We note that the only contribution comes from the partial wave 1 S 0 .…”

Section: Formalismmentioning

confidence: 99%

ΛΛbond energy from the Nijmegen potentials

2004

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The ⌳⌳ bond energy ⌬B ⌳⌳ in ⌳⌳ hypernuclei is obtained from a G-matrix calculation which includes the coupling between the ⌳⌳, ⌶N, and ⌺⌺ channels, as well as the effect of Pauli blocking to all orders. The Nijmegen NSC97e model is used as bare baryon-baryon interaction in the strangeness S = −2 sector. The ⌳⌳-⌶N coupling increases substantially the bond energy with respect to the uncoupled ⌳⌳ case. However, the additional incorporation of the ⌺⌺ channel, which couples simultaneously to ⌳⌳ and ⌶N states, has a surprisingly drastic effect and reduces the bond energy down to a value closer to that obtained in an uncoupled calculation. We find that a complete treatment of Pauli blocking reduces the repulsive effect on the bond energy to about half of what was claimed before.

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“…Then, with appropriate transformation coefficients [48,49], one can express the two-body states with laboratory coordinates in terms of the variables in the RCM system used in the solution of the G-matrix 1 1 Note the distinction between k a and k and l a and l. With the notation k a or l a we will refer to the quantum numbers of the single-particle state, whereas l or k without subscripts refer to the coordinates of the relative motion.…”

Section: A Nuclear Matter Y N G-matrixmentioning

confidence: 99%

Hyperon properties in finite nuclei using realistic YN interactions

Vidaña¹,

Polls²,

Ramos³

et al. 1998

Nuclear Physics A

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Single-particle energies of Λ and Σ hyperons in several nuclei are obtained from the relevant self-energies. The latter are constructed within the framework of a perturbative many-body approach employing present realistic hyperon-nucleon interactions such as the models of the Jülich and Nijmegen groups. The effects of the non-locality and energy-dependence of the selfenergy on the bound states are investigated. It is also shown that, although the single-particle hyperon energies are well reproduced by local Woods-Saxon hyperon-nucleus potentials, the wave functions from the non-local self-energy are far more extended. Implications of this behavior on the mesonic weak decay of Λ hypernuclei are discussed.PACS Numbers: 21.80.+a, 13.75.Ev, 21.65.+f.

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Converged values of second-order core-polarization diagrams with orthogonalized-plane-wave intermediate states

Cited by 20 publications

References 17 publications

Effective shell-model hamiltonians from realistic nucleon–nucleon potentials within a perturbative approach

Effective shell-model hamiltonians from realistic nucleon–nucleon potentials within a perturbative approach

ΛΛbond energy from the Nijmegen potentials

Hyperon properties in finite nuclei using realistic YN interactions

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