Central and noncentral components of the effective<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>sd</mml:mi></mml:math>-shell interaction

Klingenbeck, K.; Knüpfer, W.; Huber, Max; Glaudemans, P.W.M.

doi:10.1103/physrevc.15.1483

Cited by 31 publications

(35 citation statements)

References 20 publications

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“…The specific contribution of these terms to the centroids of the interaction and, thus, to the ESPE variations is additive. The spin-tensor decomposition was used to study the tensorial structure of effective interactions in a number of publications [18,19,[39][40][41][42][43][44]. The analysis focused on the twobody matrix elements and/or centroids of the interaction, even in the context of the ESPE variations [19].…”

Section: Spin-tensor Decomposition Of the Two-body Interactionmentioning

confidence: 99%

Nuclear shell evolution and in-mediumNNinteraction

et al. 2012

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We report on a quantitative study of the evolution of the nuclear shell structure, in particular, effective single-particle energies (ESPEs), based on the spin-tensor decomposition of an effective two-body shell-model interaction. While the global trend of the ESPEs is mainly due to the central term of the effective interaction, variations of shell gaps invoke various components of the in-medium NN force. From a detailed analysis of a well-fitted realistic interaction in the sdpf shell-model space, two most important contributions for the evolution of the N = 20 and N = 28 shell gaps are confirmed to be the central term and the tensor term. The role of the latter is dominant to explain the energy shift of spin-orbit partners. Spin-tensor analysis of microscopic effective interactions in sd, pf , and gds shell-model spaces, contrasted with that of the phenomenologically adjusted ones, shows no evidence of amplification of the tensor component contribution; however, it points toward the neglect of three-body forces in the present microscopic interactions.

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Section: Spin-tensor Decomposition Of the Two-body Interactionmentioning

confidence: 99%

Nuclear shell evolution and in-mediumNNinteraction

et al. 2012

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“…For instance, in the same environment two very similar interactions are expected to yield similar patterns of their matrix elements (see, for example, [1,2,3]), as well to yield large overlaps of corresponding eigenstates (e.g., [4,5]) and close energy spectra (e.g., [6,7]). On the other hand, a complementary comparison that is based on the theory of spectral distributions [8,9] that invokes overall correlations of two interactions offers a broader view on their global behavior and universal properties [10,11,12,13,14].…”

Section: Introductionmentioning

confidence: 99%

Underlying symmetries of realistic interactions and the nuclear many-body problem

2006

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The present study brings forward important information, within the framework of spectral distribution theory, about the types of forces that dominate three realistic interactions, CD-Bonn, CDBonn+3terms and GXPF1, in nuclei and their ability to account for many-particle effects such as the formation of correlated nucleon pairs and enhanced quadrupole collective modes. Like-particle and proton-neutron isovector pairing correlations are described microscopically by a model interaction with Sp(4) dynamical symmetry, which is extended to include an additional quadrupole-quadrupole interaction. The analysis of the results for the 1f 7/2 level shows that both CD-Bonn+3terms and GXPF1 exhibit a well-developed pairing character compared to CD-Bonn, while the latter appears to build up more (less) rotational isovector T = 1 (isoscalar T = 0) collective features. Furthermore, the three realistic interactions are in general found to correlate strongly with the pairing+quadrupole model interaction, especially for the highest possible isospin group of states where the model interaction can be used to provide a reasonable description of the corresponding energy spectra.

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“…A useful tool to study the underlying more general properties of such interactions is offered by a decomposition of their twobody matrix elements into contributions from interactions of a various tensor character [1]. Following Kirson [2] one uses the fact that the six operators S (0)= 1, S(~ [G1 x 0"2](0) , S(1)=o-1-]-0 2 a n(2)S(st)=[-alXa2](1)and S(61 &2 =D ix 2J , form a complete basis of linear operators in the twoparticle spin-space.…”

Section: Introductionmentioning

confidence: 99%

Effects of central and noncentral components of the Preedom-Wildenthal interaction

et al. 1982

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The influence of the various components of the Preedom-Wildenthal interaction -viz. central, tensor, spin-orbit (LS) and antisymmetric spin-orbit (ALS) -on properties ofA =20-22 nuclei is investigated. The effects of the LS and the ALS component on spectroscopic observables are found to be very similar. It is shown that it is possible to remove the ALS component, which component is absent in the free-nucleon-nucleon interaction, in favour of an enhanced LS component, without spoiling the agreement with experiment. Furthermore it was found that a similarity of the effects of the various components on the properties of states in A=21, T=1/2 leads to a classification of these levels into groups that can be interpreted as collective bands.

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Central and noncentral components of the effectivesd-shell interaction

Cited by 31 publications

References 20 publications

Nuclear shell evolution and in-mediumNNinteraction

Nuclear shell evolution and in-mediumNNinteraction

Underlying symmetries of realistic interactions and the nuclear many-body problem

Effects of central and noncentral components of the Preedom-Wildenthal interaction

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