Nucleon numbers for nuclei with shape coexistence

Martinou, Andriana; Bonatsos, Dennis; Minkov, N.; Mertzimekis, T. J.; Assimakis, I. E.; Peroulis, S.; Sarantopoulou, S.

doi:10.12681/hnps.1804

Cited by 9 publications

(6 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It was suggested [225,228,229] that the interplay between HO and SO magic numbers offers a simple justification for the appearance of islands of SC on the nuclear chart. Let us see how this is occurring.…”

Section: A Dual Shell Mechanism For Shape Coexistencementioning

confidence: 99%

The Proxy-SU(3) Symmetry in Atomic Nuclei

et al. 2023

Self Cite

View full text Add to dashboard Cite

The microscopic origins and the current predictions of the proxy-SU(3) symmetry model of atomic nuclei were reviewed. Beginning with experimental evidence for the special roles played by nucleon pairs with maximal spatial overlap, the proxy-SU(3) approximation scheme is introduced; its validity is demonstrated through Nilsson model calculations and its connection to the spherical shell model. The major role played by the highest weight-irreducible representations of SU(3) in shaping up the nuclear properties is pointed out, resulting in parameter-free predictions of the collective variables β and γ for even–even nuclei in the explanation of the dominance of prolate over oblate shapes in the ground states of even–even nuclei, in the prediction of a shape/phase transition from prolate to oblate shapes below closed shells, and in the prediction of specific islands on the nuclear chart in which shape coexistence is confined. Further developments within the proxy-SU(3) scheme are outlined.

show abstract

Section: A Dual Shell Mechanism For Shape Coexistencementioning

confidence: 99%

The Proxy-SU(3) Symmetry in Atomic Nuclei

et al. 2023

Self Cite

View full text Add to dashboard Cite

show abstract

“…In section II we have argued, that the intrinsic singleparticle basis for the valence shell of deformed nuclei within the Elliott SU(3) symmetry is the cartesian basis |n z , n x , n y , m s , because such orbitals are eigenstates of the dominant q 0,i q 0,i interaction [82] and due to the fact, that rotational nuclear bands emerge from these states [35,36]. In addition in section II in Eqs.…”

Section: Particle Excitationsmentioning

confidence: 99%

“…For instance, when the particles are in the 6-14 SO-like shell, the previously filled orbitals 1s 1/2 , 1p 3/2 create a closed core, if one uses the proxy-SU(3) symmetry [39] (see Table I of Ref. [82]) and thus no hole irreps emerge. This is actually a difference of the dual-shell mechanism with the particle-hole mechanism as realized in the Symplectic Model [68,[91][92][93].…”

mentioning

confidence: 99%

The islands of shape coexistence within the Elliott and the proxy-SU(3) Models

Martinou,

Bonatsos,

Mertzimekis

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

A novel dual-shell mechanism for the phenomenon of shape coexistence in nuclei within the Elliott SU(3) and the proxy-SU(3) symmetry is proposed for all mass regions. It is supposed, that shape coexistence is activated by large quadrupole-quadrupole interaction and involves the interchange among the spin-orbit (SO) like shells within nucleon numbers 6-14, 14-28, 28-50, 50-82, 82-126, 126-184, which are being described by the proxy-SU(3) symmetry, and the harmonic oscillator (HO) shells within nucleon numbers 2-8, 8-20, 20-40, 40-70, 70-112, 112-168 of the Elliott SU(3) symmetry. The outcome is, that shape coexistence may occur in certain islands on the nuclear map. The dual-shell mechanism predicts without any free parameters, that nuclei with proton number (Z) or neutron number (N ) between 7-8, 17-20, 34-40, 59-70, 96-112, 146-168 are possible candidates for shape coexistence. In the light nuclei the nucleons flip from the HO shell to the neighboring SO-like shell, which means, that particle excitations occur. For this mass region, the predicted islands of shape coexistence, coincide with the islands of inversion. But in medium mass and heavy nuclei, in which the nucleons inhabit the SO-like shells, shape coexistence is accompanied by a merging of the SO-like shell with the open HO shell. The shell merging can be accomplished by the outer product of the SU(3) irreps of the two shells and represents the unificaton of the HO shell with the SO-like shell.

show abstract

“…Lately, it has been observed that in areas where shape coexistence [9] is expected, the ground state band and the nearby lying K = 0 band are represented by the proxy-SU(3) irreps and the exact SU(3) irreps occurring by consideration of the magic numbers of the isotropic three-dimensional harmonic oscillator [10,11].…”

Section: Proxy-su(3) and Shape Coexistencementioning

confidence: 99%

Synergy of nuclear data systematics and proxy-SU(3) in planning future experiments in the superheavies mass region

Peroulis

Bofos

Mertzimekis

et al. 2019

hnps

Self Cite

View full text Add to dashboard Cite

Spectroscopic information of hard-to-reach superheavy nuclei can be invaluable in understanding the dynamics of nuclear systems at large values of charge and volume. RIB factories of the next generation, such as FAIR, plan to provide heavy ion beams at high energies to facilitate experimental access to these mass regimes. In preparation of future experimental endeavours, a systematic survey of available nuclear data, mainly energies and reduced transition probabilities/lifetimes of short-lived 2 + 1 states in even-even isotopes with Z=82, 84, 86 was undertaken. The principle motivation is to trace the competition between collective and single-particle degrees of freedom in the mass area just above Pb (Z=82), an area known to exhibit isomerism, octupole degrees of freedom and shape coexistence. Existing data were compared to the theoretical predictions using the analytical, parameterfree proxy-SU(3) scheme, for neutron numbers N=96-116. The model was further employed to predict currently unknown values for spectroscopic data in series of Pb, Po and Ra isotopes.

show abstract

Nucleon numbers for nuclei with shape coexistence

Cited by 9 publications

References 8 publications

The Proxy-SU(3) Symmetry in Atomic Nuclei

The Proxy-SU(3) Symmetry in Atomic Nuclei

The islands of shape coexistence within the Elliott and the proxy-SU(3) Models

Synergy of nuclear data systematics and proxy-SU(3) in planning future experiments in the superheavies mass region

Contact Info

Product

Resources

About