Global nuclear structure effects of the tensor interaction

Zalewski, M.; Olbratowski, P.; Rafalski, M.; Satuła, W.; Werner, T. R.; Wyss, R.

doi:10.1103/physrevc.80.064307

Cited by 34 publications

(34 citation statements)

References 62 publications

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“…Later on, the two sets of inequalities (3)(4)(5), (6)(7)(8), and the two stability criteria associated to matrices (9) and (10) will be referred to as ℓ = 1, ℓ = 2, J = 1 and J = 2 sets, respectively.…”

Section: Stability Conditions and Landau Parametersmentioning

confidence: 99%

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Spin instabilities of infinite nuclear matter and effective tensor interactions

Navarro

Polls

2013

Phys. Rev. C

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We study the effects of the tensor force, present in modern effective nucleon-nucleon interactions, in the spin instability of nuclear and neutron matter. Stability conditions of the system against certain very low energy excitation modes are expressed in terms of Landau parameters. It is shown that in the spin case, the stability conditions are equivalent to the condition derived from the spin susceptibility, which is obtained as the zero-frequency and long-wavelength limit of the spin response function calculated in the Random Phase Approximation. Zero-range forces of the Skyrme type and finite-range forces of M3Y and Gogny type are analyzed. It is shown that for the Skyrme forces considered, the tensor effects are sizeable, and tend to increase the spin instability which appears at smaller densities than in the case that the tensor is not taken into account. On the contrary, the tensor contribution of finite range forces to the spin susceptibility is small or negligible for both isospin channels of symmetric nuclear matter as well as for neutron matter. A comparison with the spin susceptibility provided by realistic interactions is also presented.

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Section: Stability Conditions and Landau Parametersmentioning

confidence: 99%

“…Recently, and in order to improve the power of the energy density functional derived from the Skyrme interaction, the possibility to incorporate a zero range tensor component to the effective interaction has been explored [4][5][6][7]. In principle, to add tensor components to the effective nucleon-nucleon interaction seems rather natural.…”

Section: Introductionmentioning

confidence: 99%

Spin instabilities of infinite nuclear matter and effective tensor interactions

Navarro

Polls

2013

Phys. Rev. C

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“…The shape coexistence is analyzed for some N = 28 neutron-rich isotones in [33]. It is shown that whereas the tensor force does not change the ground state the shape coexistence between prolate and oblate states vanishes for 42 Si and 44 S. In the paper by Zalewski et al [27] the contribution of the isovector and isoscalar tensor terms to the binding energy is depicted over the mass table. The impact of two Skyrme functionals on the superdeformed band heads is tested.…”

Section: Introductionmentioning

confidence: 99%

“…They are obtained by studying the structure properties such as the spin-orbit splitting or the single particle energies on the Ca, Ni and Sn chains. In the works of Zalewski et al [26,27] and Grasso et al [28] the spin-orbit strength is modified at the same time that the tensor parameters to reproduce some single particle properties, (spin-orbit splittings) in the doubly magic 40 Ca, 56 Ni and 48 Ca nuclei. The work of Grasso et al enables to reduce the number of parametrizations suggested by Lesinski et al excluding the ones whose parameter signs do not lead to satisfactory results.…”

Section: Introductionmentioning

confidence: 99%

Interplay between tensor force and deformation in even–even nuclei

Bernard

Anguiano

2016

Nuclear Physics A

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In this work we study the effect of the nuclear tensor force on properties related with deformation. We focus on isotopes in the Mg, Si, S, Ar, Sr and Zr chains within the Hartree-Fock-Bogoliubov theory using the D1ST2a Gogny interaction. Contributions to the tensor energy in terms of saturated and unsaturated subshells are analyzed. Like-particle and proton-neutron parts of the tensor term are independently examinated. We found that the tensor term may considerably modify the potential energy landscapes and change the ground state shape. We analyze too how the pairing characteristics of the ground state change when the tensor force is included.

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“…This triggered a number of theoretical mean-field [7][8][9][10][11][12][13][14][15][16] and beyond mean-field studies [17][18][19][20]. The conclusion is that the tensor part of the interaction is essential for understanding SE [21].…”

Section: Introductionmentioning

confidence: 99%

Shell evolution aboveZ,N=50within Skyrme density functional theory: The impact of deformation and tensor interactions

Shi

2017

Phys. Rev. C

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Background Recent years have seen considerable effort in associating the shell evolution (SE) for a chain of isotones or isotopes with the underlying nuclear interactions. In particular, it has been fairly well established that the tensor part of the Skyrme interaction is indispensable for understanding certain SE above Z, N =50 shell closures, as a function of nucleon numbers.Purpose The purpose of the present work is twofold: (1) to study the effect of deformation due to blocking, on the SE above Z, N = 50 shell closures; (2) to examine the optimal parameterizations in the tensor part which gives a proper description of the SE above Z, N =50 shell closures.Methods I use Skyrme-Hartree-Fock-Bogoliubov (SHFB) method to compute the even-even vacua of the Z = 50 isotopes and N = 50 isotones. For Sb and odd-A Sn isotopes, I perform calculations with a blocking procedure which accounts for the polarization effects, including deformations.Results The blocking SHFB calculations show that the light odd-A Sb isotopes, with only one valence proton occupying down-sloping Ω = 11/2 − and Ω = 7/2 + Nilsson orbits, assume finite oblate deformations. This reduces the energy differences between 11/2 − and 7/2 + states by about 500 keV for 51Sb56−66, bringing the energy-difference curve closer to the experimental one. With UNE2T1 energy density functional (EDF), which differs from unedf2 parameterization by tensor terms, a better description of the slope of ∆e(π1h 11/2 − π1g 7/2 ) as a function of neutron number has been obtained. However, the trend of ∆e(π1g 7/2 − π2d 5/2 ) curve is worse using UNE2T1 EDF. ∆e(ν3s 1/2 − ν2d 5/2 ), and ∆e(ν1g 7/2 − ν2d 5/2 ) curve for N =50 isotones using UNE2T1 seems to be consistent with experimental data. The neutron SE of ∆e(ν1h 11/2 − ν1g 7/2 ), and ∆e(ν1g 7/2 − ν2d 5/2 ) for Sn isotopes are shown to be sensive to αT tensor parameter.Conclusions Within the Skyrme self-consistent mean-field model, the deformation degree of freedom has to be taken into account for Sb isotopes, N =51 isotones, and odd-A Sn isotopes when discussing variation of quantities like shell gap etc. The tensor terms are important for describing the strong variation of ∆E(Ω π = 11/2 − − 7/2 + ) in Sb isotopes. The SE of 1/2 + , and 7/2 + states in N =51 isotones may show signature for the existence of tensor interaction. The experimental excitation energies of 11/2 − , and 7/2 + states in odd-A Sn isotopes close to 132 Sn give prospects for constraining the αT parameter.

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Global nuclear structure effects of the tensor interaction

Cited by 34 publications

References 62 publications

Spin instabilities of infinite nuclear matter and effective tensor interactions

Spin instabilities of infinite nuclear matter and effective tensor interactions

Interplay between tensor force and deformation in even–even nuclei

Shell evolution aboveZ,N=50within Skyrme density functional theory: The impact of deformation and tensor interactions

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