Identification of low-spin states in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Sb</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>111</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>: Test of spin-orbit coupling in light nuclei

Shergur, J.; Dean, D. J.; Seweryniak, D.; Walters, W. B.; Wöhr, A.; Boutachkov, P.; Dillmann, I.; Juodagalvis, A.; Mukherjee, G.; Sinha, S.; Teymurazyan, A.; Zartova, I.

doi:10.1103/physrevc.71.064323

Cited by 11 publications

(3 citation statements)

References 22 publications

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“…e.g., Ref. [101]). The crossing as such is predicted by many mean-field interactions and most of the parametrizations of the Skyrme interaction we use here.…”

Section: Evolution Along Isotopic Chains: Np Couplingmentioning

confidence: 99%

Tensor part of the Skyrme energy density functional: Spherical nuclei

Lesinski

Bender²,

Bennaceur³

et al. 2007

Phys. Rev. C

346

659

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We perform a systematic study of the impact of the J 2 tensor term in the Skyrme energy functional on properties of spherical nuclei. In the Skyrme energy functional, the tensor terms originate from both zero-range central and tensor forces. We build a set of 36 parametrizations, covering a wide range of the parameter space of the isoscalar and isovector tensor term coupling constants with a fit protocol very similar to that of the successful SLy parametrizations. We analyze the impact of the tensor terms on a large variety of observables in spherical mean-field calculations, such as the spin-orbit splittings and single-particle spectra of doubly-magic nuclei, the evolution of spin-orbit splittings along chains of semi-magic nuclei, mass residuals of spherical nuclei, and known anomalies of radii. The major findings of our study are as follows: (i) Tensor terms should not be added perturbatively to existing parametrizations; a complete refit of the entire parameter set is imperative. (ii) The free variation of the tensor terms does not lower the χ 2 within a standard Skyrme energy functional. (iii) For certain regions of the parameter space of their coupling constants, the tensor terms lead to instabilities of the spherical shell structure, or even to the coexistence of two configurations with different spherical shell structures. (iv) The standard spin-orbit interaction does not scale properly with the principal quantum number, such that single-particle states with one or several nodes have too large spin-orbit splittings, whereas those of nodeless intruder levels are tentatively too small. Tensor terms with realistic coupling constants cannot cure this problem.(v) Positive values of the coupling constants of proton-neutron and like-particle tensor terms allow for a qualitative description of the evolution of spin-orbit splittings in chains of Ca, Ni, and Sn isotopes. (vi) For the same values of the tensor term coupling constants, however, the overall agreement of the single-particle spectra in doubly-magic nuclei is deteriorated, which can be traced back to features of the single-particle spectra that are not related to the tensor terms. We conclude that the currently used central and spin-orbit parts of the Skyrme energy density functional are not flexible enough to allow for the presence of large tensor terms.well-defined transformation properties under rotations: (7) where δ µν is the Kronecker symbol and µνκ is the Levi-Civita tensor. The pseudoscalar, vector, and pseudotensor parts expressed in terms of the Cartesian tensor are given byν=x κµν J µν (r), 014312-6 TENSOR PART OF THE SKYRME ENERGY DENSITY . . . PHYSICAL REVIEW C 76, 014312 (2007) some authors [59]: z µ,ν=x J t,µν J t,µν = 1 3 J (0) t 2 + 1 2 J 2 t + z µ,ν=x J (2) t,µν J (2) t,µν , (24) 1 2 z µ=x J t,µµ 2 + z µ,ν=x J t,µν J t,νµ = 2 3 J (0) t 2 − 1 4 J 2 t + 1 2 z µ,ν=x J (2) t,µν J (2) t,µν . (25)

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“…e.g., Ref. [101]). The crossing as such is predicted by many mean-field interactions and most of the parametrizations of the Skyrme interaction we use here.…”

Section: Evolution Along Isotopic Chains: Np Couplingmentioning

confidence: 99%

Tensor part of the Skyrme energy density functional: Spherical nuclei

Lesinski

Bender²,

Bennaceur³

et al. 2007

Phys. Rev. C

346

659

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“…The nucleus 105 Sb has recently been found experimentally to be the lightest ground state proton emitter [2,3]. Experimental studies of the other light Sb isotopes have also been done, e.g., 106 Sb [4], 107 Sb [5], 108 Sb [6,7], 109 Sb [8][9][10][11], 110 Sb [12] and 111 Sb [8,13]. These nuclei are near the proton drip line.…”

mentioning

confidence: 99%

Shell model calculations of low-lying states of¹¹⁰Sb

Dikmen¹,

Novoselsky²,

Vallières³

2007

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

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This study describes for the first time the calculated low-lying negative and positive parity states of the antimony isotope 110Sb. The large-scale shell model calculations have been carried out in the sdgh major shell for this odd–odd isotope by using CD-Bonn and Nijmegen1 effective interactions. The results are compared to the most recent experimental data and found to be in good agreement with experiment. Our calculations show that the isomeric state 8− is a characteristic of most of the odd–odd antimony isotopes from 132Sb down to 108Sb.

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“…Experimentally, the 2d 5/2 and 1g 7/2 levels cross be- tween N = 70 and 72, such that the 2d 5/2 provides the ground state of light odd-A Sb isotopes, and 1g 7/2 that of the heavy ones, see for example Ref. [101]. The crossing as such is predicted by many mean-field interactions and most of the parameterizations of the Skyrme interaction we use here.…”

Section: Evolution Along Isotopic Chains: Np Couplingmentioning

confidence: 82%

The tensor part of the Skyrme energy density functional. I. Spherical nuclei

Lesinski,

Bender,

Bennaceur

et al. 2007

Preprint

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We perform a systematic study of the impact of the J 2 tensor term in the Skyrme energy functional on properties of spherical nuclei. In the Skyrme energy functional, the tensor terms originate both from zero-range central and tensor forces. We build a set of 36 parameterizations which cover a wide range of the parameter space of the isoscalar and isovector tensor term coupling constants with a fit protocol very similar to that of the successful SLy parameterizations. We analyze the impact of the tensor terms on a large variety of observables in spherical mean-field calculations, such as the spin-orbit splittings and single-particle spectra of doubly-magic nuclei, the evolution of spin-orbit splittings along chains of semi-magic nuclei, mass residuals of spherical nuclei, and known anomalies of radii. The major findings of our study are (i) tensor terms should not be added perturbatively to existing parameterizations, a complete refit of the entire parameter set is imperative. (ii) The free variation of the tensor terms does not lower the χ 2 within a standard Skyrme energy functional. (iii) For certain regions of the parameter space of their coupling constants, the tensor terms lead to instabilities of the spherical shell structure, or even the coexistence of two configurations with different spherical shell structure. (iv) The standard spin-orbit interaction does not scale properly with the principal quantum number, such that single-particle states with one or several nodes have too large spin-orbit splittings, while those of nodeless intruder levels are tentatively too small. Tensor terms with realistic coupling constants cannot cure this problem. (v) Positive values of the coupling constants of proton-neutron and like-particle tensor terms allow for a qualitative description of the evolution of spin-orbit splittings in chains of Ca, Ni and Sn isotopes. (vi) For the same values of the tensor term coupling constants, however, the overall agreement of the single-particle spectra in doubly-magic nuclei is deteriorated, which can be traced back to features of the single-particle spectra that are not related to the tensor terms. We conclude that the currently used central and spin-orbit parts of the Skyrme energy density functional are not flexible enough to allow for the presence of large tensor terms.

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Identification of low-spin states inSb111: Test of spin-orbit coupling in light nuclei

Cited by 11 publications

References 22 publications

Tensor part of the Skyrme energy density functional: Spherical nuclei

Tensor part of the Skyrme energy density functional: Spherical nuclei

Shell model calculations of low-lying states of¹¹⁰Sb

The tensor part of the Skyrme energy density functional. I. Spherical nuclei

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Identification of low-spin states inSb111: Test of spin-orbit coupling in light nuclei

Cited by 11 publications

References 22 publications

Tensor part of the Skyrme energy density functional: Spherical nuclei

Tensor part of the Skyrme energy density functional: Spherical nuclei

Shell model calculations of low-lying states of110Sb

The tensor part of the Skyrme energy density functional. I. Spherical nuclei

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Product

Resources

About

Shell model calculations of low-lying states of¹¹⁰Sb