Spectroscopic factors of magic and semimagic nuclei within the self-consistent theory of finite Fermi systems

Gnezdilov, N. V.; Saperstein, É. E.; Tolokonnikov, S. V.

doi:10.1209/0295-5075/107/62001

Cited by 8 publications

(5 citation statements)

References 22 publications

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“…Result of 208 Pb in this work is consistent with Refs. [18,26], but those of 40 Ca agree with relativistic calculations [24,25]. Consequently our work predicts SFs of 40 Ca smaller than those of 208 Pb.…”

Section: This Worksupporting

confidence: 75%

“…Table III collects SFs from literature, and compares them with the result of this work. Calculations based on relativistic formalism [24,25] obtain results smaller than the values evaluated from experiment [18] and a phonon-coupling calculation [26]. Results of the latter two [18,26] agree to each other.…”

Section: This Workmentioning

confidence: 57%

“…Calculations based on relativistic formalism [24,25] obtain results smaller than the values evaluated from experiment [18] and a phonon-coupling calculation [26]. Results of the latter two [18,26] agree to each other. Result of 208 Pb in this work is consistent with Refs.…”

Section: This Workmentioning

confidence: 57%

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Quasi-elastic electron scattering with KIDS nuclear energy density functional

Gil,

Hyun,

Kim

2021

Preprint

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Isoscalar and isovector effective masses of the nucleon in nuclear medium are explored in the quasi-elastic electron scattering off nuclei with KIDS (Korea-IBS-Daegu-SKKU) density functional model. Effective masses are varied in the range (0.7 − 1.0)M where M is the mass of the nucleon in free space. Parameters in the KIDS functional are adjusted to nuclear matter equation of state, energy and radius of selected nuclei, and effective mass of nucleons. Hartree-Fock equation is solved to obtain the wave functions of the nucleon in target nuclei, and they are plugged in the calculation of electron-nucleus scattering cross sections at the energies of incident electrons 300 MeV -2.5 GeV.Theoretical prediction agrees well with measurement. Dependence on the effective mass is evident: cross section tends to increase with small isoscalar effective masses. However, effect of isovector effective mass is negligible. Spectroscopic factors are estimated for the protons in the outermost shells of 16 O, 40 Ca, and 208 Pb. Results are consistent with the values in the literature.

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Section: This Worksupporting

confidence: 75%

Section: This Workmentioning

confidence: 57%

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Quasi-elastic electron scattering with KIDS nuclear energy density functional

Gil,

Hyun,

Kim

2021

Preprint

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“…The scale of the suppression varies from ≃ 20% (the neutron D + 2 mode in 132 Sn) to ≃ 50% (both proton modes in 132 Sn and 208 Pb). It agrees with average values of the Z PC -factors, Z PC λ ≃ (0.7 ÷ 0.9), of these nuclei found in [27] or [34,35]. In all cases where the PC effect due to the induced interaction (column 3) is big, its sign coincides with that of D (0) 2 , i.e.…”

supporting

confidence: 86%

Phonon-particle coupling effects in odd-even double mass differences of magic nuclei

Saperstein,

Baldo,

Gnezdilov

et al. 2015

Preprint

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A method is developed to consider the particle-phonon coupling (PC) effects in the problem of finding odd-even double mass differences (DMD) of magic nuclei within the approach starting from the free N Npotential. Three PC effects are taken into account, the phonon induced interaction, the renormalization of the "ends" due to the Z-factors and the change of the single-particle energies. We use the perturbation theory in g 2 L , where gL is the vertex of the L-phonon creation. PC corrections to single-particle energies are found self-consistently with an approximate account for the so-called tadpole diagram. Results for double-magic 132 Sn and 208 Pb nuclei show that the PC corrections make agreement with the experimental data better.

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“…In all these cases, the PC corrections to the SPEs turned out to be rather moderate and it seemed reasonable to keep the parameters of the corresponding EDFs unchanged. It is also worth mentioning more recent considerations of the one-nucleon spectroscopic factors in semi-magic nuclei [25,26] and the PC corrections to the ab initio double mass differences in magic nuclei [27][28][29].…”

Section: Introductionmentioning

confidence: 99%

The first self-consistent calculation of quadrupole moments of odd semi-magic nuclei accounting for phonon-induced corrections

Saperstein

Kamerdzhiev

Krepish

et al. 2017

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

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Abstract. The self-consistent model, developed previously to describe phonon coupling (PC) effects in magnetic moments of odd magic and semi-magic nuclei, is extended to quadrupole moments. It is based on the theory of finite Fermi systems with the use of the perturbation theory in g 2 L , where g L is the vertex creating the L-phonon. Accounting for the phonon tadpole diagrams is an important ingredient of this model. The calculation scheme is based on the Fayans energy density functional DF3-a and does not contain any adjusted parameters. The odd In and Sb isotopes are considered, which are the proton-odd neighbors of even tin nuclei. The 2 + 1 phonon is taken into account which quadrupole moment is one ingredient of the calculation scheme. The corresponding values were found by us previously. Two main PC corrections, due to the phonon Z-factor and due to the phonon-induced interaction, have opposite signs and cancel strongly each other, leaving room for other 'small' corrections, so that the resulting PC correction is much lower than the absolute values of each of two main ones. However, it remains noticeable, making the overall agreement with the data significantly better.

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Spectroscopic factors of magic and semimagic nuclei within the self-consistent theory of finite Fermi systems

Cited by 8 publications

References 22 publications

Quasi-elastic electron scattering with KIDS nuclear energy density functional

Quasi-elastic electron scattering with KIDS nuclear energy density functional

Phonon-particle coupling effects in odd-even double mass differences of magic nuclei

The first self-consistent calculation of quadrupole moments of odd semi-magic nuclei accounting for phonon-induced corrections

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