Collective 0− vibrations in even spherical nuclei with tensor forces

Blomqvist, J.; Molinari, A.

doi:10.1016/0375-9474(68)90515-0

Cited by 174 publications

(111 citation statements)

References 23 publications

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“…This concerns mostly the isovector components of the effective charges, which seemingly differ for nuclei near 56 Ni, e (1) pol ∼ 0.35 [44], 48 Ca, e (1) pol ∼ 0 [45], and 40 Ca, e (1) pol ∼ 0.15 (present study). Whether or not extended radii of protons in valence orbitals of states in nuclei near the proton dripline are crucial to include in these investigations remains to be seen.…”

Section: Discussionmentioning

confidence: 78%

Isomeric mirror states as probes for effective charges in the lower pf shell

Hoischen

Rudolph

et al. 2011

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

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General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal Ti 23 (I π = 3/2 − ) are discussed in the framework of large scale pf and sdpf shell-model calculations, the former in conjunction with isospin symmetry breaking effects with emphasis on effective charges.

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Section: Discussionmentioning

confidence: 78%

Isomeric mirror states as probes for effective charges in the lower pf shell

Hoischen

Rudolph

et al. 2011

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

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“…For the A=3 and A=4 systems, it has been found that there is a strong correlation between the nuclear binding energy and the strength of the ten- [11] and the latter is sensitive to the spin-orbit and tensor components [12].…”

Section: Resultsmentioning

confidence: 99%

Nuclear shell-model calculations forLi6andN
Zheng¹,
Barrett²
1994
Phys. Rev. C
4
2
15
0
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“…The energy (in MeV) was obtained with the formula E = 13.19λ − 0.4579λ(λ + 3) + 0.8389 1 2θ L(L + 1). The oscillator energy is determined according to the systematics [18], while θ is the moment of inertia calculated classically for the rigid shape determined by the U(3) quantum numbers. The parameters of the quadratic and the rotational terms were fitted to the experimental data.…”

Section: Intersectionmentioning

confidence: 99%

On the relation of the shell, collective and cluster models

Cseh

2015

J. Phys.: Conf. Ser.

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Abstract. The intersection of the shell, collective and cluster models is described for multimajor-shell problems. IntroductionThe fundamental models of nuclear structure are based on different physical pictures. The shell model indicates that the atomic nucleus is something like a small atom, the cluster model suggests that it is similar to a molecule, while the collective model says that it is a microscopic liquid drop. Therefore, in order to understand the nuclear structure we need to study (among others) the interrelation of these models, find their common intersection, etc.The basic connections were found in the fifties. Elliott [1] showed how the quadrupole deformation and collective rotation can be derived from the spherical shell model: the states belonging to a collective band are determined by their specific SU(3) symmetry. Wildermuth and Kanellopoulos [2] established the relation between the shell and cluster models. They proved that the Hamiltonians of the two models can be rewritten into each other exactly in the harmonic oscillator approximation. This relation results in a close connection between the corresponding eigenvectors, too: the wavefunction of one model is a linear combination of those of the other, which belong to the same energy. Later on this relation was interpreted by Bayman and Bohr [3] in terms of the SU(3) symmetry. As a consequence, the cluster states are also selected from the shell model space by their specific SU(3) symmetries. (In fact only one kind of cluster states have this feature, and there are other kinds, too, as discussed later.)We will refer to this interrelation among the three basic structure models as the SU(3) connection. It was established in 1958 for a single major shell problem. Here we consider its extension to multi-major-shells.The connection of the shell model and the cluster model is especially interesting due to the fact that both models have a complete set of basis states, i.e. any nuclear states can be expanded in both bases. Depending on the simple or complicated nature of these expansions we can distinguish four different cases. i) If it is simple in the shell basis, but complicated in the cluster one, then we can speak about a simple shell state, which is a poor cluster state. ii) If it is simple in the cluster basis, but complicated in the shell basis, one has a good cluster state, which is a poor shell state. (Later on we will refer to these states as rigid molecule-like cluster

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Collective 0− vibrations in even spherical nuclei with tensor forces

Cited by 174 publications

References 23 publications

Isomeric mirror states as probes for effective charges in the lower pf shell

Isomeric mirror states as probes for effective charges in the lower pf shell

Nuclear shell-model calculations forLi6andN
Zheng¹,
Barrett²
1994
Phys. Rev. C
4
2
15
0
View full text Add to dashboard Cite

On the relation of the shell, collective and cluster models

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Collective 0− vibrations in even spherical nuclei with tensor forces

Cited by 174 publications

References 23 publications

Isomeric mirror states as probes for effective charges in the lower pf shell

Isomeric mirror states as probes for effective charges in the lower pf shell

Nuclear shell-model calculations forLi6andNZheng1, Barrett2 1994Phys. Rev. C42150View full textAdd to dashboardCite

On the relation of the shell, collective and cluster models

Contact Info

Product

Resources

About

Nuclear shell-model calculations forLi6andN
Zheng¹,
Barrett²
1994
Phys. Rev. C
4
2
15
0
View full text Add to dashboard Cite