Test of Wigner's Spin-Isospin Symmetry from Double Binding Energy Differences

Isacker, P. Van; Warner, D. D.; Brenner, D. S.

doi:10.1103/physrevlett.74.4607

Cited by 147 publications

(143 citation statements)

References 13 publications

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“…Particularly, the N ≈ Z nuclei have been of special interest since the early days of investigating the structure of atomic nuclei [3,4]. Following the concept of valence nucleons and mirror nuclei this region is still a unique test bench for investigating the forces between individual nucleons as well as their interactions with the residual nuclear core [5,6]. Furthermore, strong deformations among the upper fp-shell N ≈ Z nuclei have particularly triggered development of new methods for deducing the nature of ground-state deformations [7,8].…”

Section: Introductionmentioning

confidence: 99%

Mass measurements on neutron-deficient Sr and neutron-rich Sn isotopes with the ISOLTRAP mass spectrometer

et al. 2005

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The atomic masses of 76,77,80,81 Sr and 129,130,131,132 Sn were measured by means of the Penning trap mass spectrometer ISOLTRAP at ISOLDE/CERN. 76 Sr is now the heaviest N = Z nucleus for which the mass is measured to a precision better than 35 keV. For the tin isotopes in the close vicinity of the doubly magic nucleus 132 Sn, mass uncertainties below 20 keV were achieved. An atomic mass evaluation was carried out taking other experimental mass values into account by performing a least-squares adjustment. Some discrepancies between older experimental values and the ones reported here emerged and were resolved. The results of the new adjustment and their impact will be presented.

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Section: Introductionmentioning

confidence: 99%

Mass measurements on neutron-deficient Sr and neutron-rich Sn isotopes with the ISOLTRAP mass spectrometer

et al. 2005

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“…However for A=60, a mixing between different SU(4) irreps is needed. This discrepancy for n=4 also hints that the validity of the pseudo-SU(4) may decrease with the increase of n, which is quite similar to the situation that the original SU(4) model in the ds-shell is good at the beginning of the shell, but the goodness decreases when the number of nucleons increases [6,7].…”

Section: Conclusion and Discussionmentioning

confidence: 74%

“…(1) where the SU(4) and SU (6) are the pseudo-spin-isospin symmetry and pseudo-orbital symmetry, respectively; SU(2) S and SU(2) T and SU(3) are their subgroups. A general form of the energy can be expressed as,…”

Section: The Spectramentioning

confidence: 99%

“…But the symmetry is broken by the l-s coupling and the breaking increases with the nucleon number. It has been established that the SU(4) symmetry works well in the p-shell [4,5], but for the ds-shell the SU(4) symmetry is good only for nuclei with N ∼ = Z [6,7]. For nuclei beyond ds-shell the SU(4) symmetry is heavily broken due to large l-s coupling.…”

Section: Introductionmentioning

confidence: 99%

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Pseudo-SU(4) model and beta decay of pf-shell nuclei

Valencia¹,

Wu²

2004

Braz. J. Phys.

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“…Indeed, the breaking of a pair in an nucleus with an odd number of particles modifies pairing correlations deeply and makes the structure of its wave function significantly different from that of its even neighbors.By comparing only nuclei with an even number of neutrons and protons, one can hope that the assumption of a common mean field is better justified. Differences between two consecutive δV pn values have also been proposed as a measure for the Wigner energy that leads to an anomaly of binding energies around the N = Z line [31,32]. In Sect.…”

Section: Introductionmentioning

confidence: 99%

What can be learned from binding energy differences about nuclear structure: The example ofδVpn

Bender

Heenen

2011

Phys. Rev. C

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We perform an analysis of a binding energy difference called δVpn(N, Z) ≡ − 1 4 E(Z, N )−E(Z, N − 2)−E(Z−2, N )+E(Z−2, N −2) in the framework of a realistic nuclear model. It has been suggested that δVpn values provide a sensitive probe of nuclear structure, and it has been put forward as a primary motivation for the measurement of specific nuclear masses. Using the angular-momentum and particle-number projected generator coordinate method and the Skyrme interaction SLy4, we analyze the contribution brought to δVpn by static deformation and dynamic fluctuations around the mean-field ground state. Our method gives a good overall description of δVpn throughout the chart of nuclei with the exception of the anomaly related to the Wigner energy along the N = Z line. The main conclusions of our analysis of δVpn, which are at variance with its standard interpretation, are that (i) the structures seen in the systematics of δVpn throughout the chart of nuclei can be easily explained combining a smooth background related to the symmetry energy and correlation energies due to deformation and collective fluctuations; (ii) the characteristic pattern of δVpn having a much larger size for nuclei that add only particles or only holes to a doubly-magic nucleus than for nuclei that add particles for one nucleon species and holes for the other is a trivial consequence of the asymmetric definition of δVpn, and not due to a the different structure of these nuclei; (iii) δVpn does not provide a very reliable indicator for structural changes; (iv) δVpn does not provide a reliable measure of the proton-neutron interaction in the nuclear EDF, neither of that between the last filled orbits, nor of the one summed over all orbits; (v) δVpn does not provide a conclusive benchmark for nuclear EDF methods that is superior or complementary to other mass filters such as two-nucleon separation energies or Q values.

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Test of Wigner's Spin-Isospin Symmetry from Double Binding Energy Differences

Abstract: It is shown that the anomalously large double binding energy differences for even-even N = Z nuclei are a consequence of Wigner's SU(4) symmetry. These, and similar quantities for odd-mass and odd-odd nuclei, provide a simple and distinct signature of this symmetry in N≃Z nuclei

Cited by 147 publications

References 13 publications

Mass measurements on neutron-deficient Sr and neutron-rich Sn isotopes with the ISOLTRAP mass spectrometer

Mass measurements on neutron-deficient Sr and neutron-rich Sn isotopes with the ISOLTRAP mass spectrometer

Pseudo-SU(4) model and beta decay of pf-shell nuclei

What can be learned from binding energy differences about nuclear structure: The example ofδVpn

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