Effects of ground state correlations on the structure of odd-mass spherical nuclei

Mishev, S.; Voronov, V. V.

doi:10.1103/physrevc.78.024310

Cited by 16 publications

(36 citation statements)

References 10 publications

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“…We estimated that the contribution of the higher-lying phonons to the quantities W (Jjλi) can be up to 25%. The diagonal matrix elements K J (jλi|j ′ λ ′ i ′ ) exhibit a similar effect due to the second summand of the rhs of (14). This sum generates an energy shift, which can contribute to the appearance of intruder states in the lower part of the energy spectrum, as discussed in detail in [12].…”

Section: Odd-even Nucleimentioning

confidence: 93%

“…We noticed that the values of ω 2 + 1 in the even-even core, which let us reproduce the energies of the lowest part of the spectrum in the odd-even nucleus with reasonable accuracy, were much higher than their experimental counterparts. In this regard the weakened interaction between the pure qp and qp×ph configurations (13)- (14) caused by the quasiparticle blocking should yield better agreement between the theory and the experiment.…”

Section: Odd-even Nucleimentioning

confidence: 97%

“…The weakening of this interaction within the extended model, as compared to the interaction derived within the QBA, is getting more salient as the ground state correlations increase. It is also worth noting that the strengths in the backward direction depend not only on the structure of the phonon state |λi building the matrix element W (Jjλi) but also on all other phonons entering into the sum in the second summand of the rhs of equation (14) . This implies that the higher-lying phonon states influence the properties of the states near the ground state.…”

Section: Odd-even Nucleimentioning

confidence: 99%

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Extended approximation for the lowest-lying states in odd-mass nuclei

Mishev¹,

Voronov²

2010

Phys. Rev. C

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An enhanced model, based on the Extended Boson Approximation, for the lowest-lying states in odd-mass nuclei is presented. Our approach is built on the Quasiparticle Phonon Model, extending it to take into account the ground state correlations due to the action of the Pauli principle more accurately than in the conventional theory. The derived interaction strengths between the quasiparticles and the phonons in this model depend on the quasiparticle occupation numbers explicitly coupling the odd-mass nucleus equations with those of the even-even core. Within this model we calculated the transition probabilities in several Te, Xe and Ba isotopes with A≈130.

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Section: Odd-even Nucleimentioning

confidence: 93%

Section: Odd-even Nucleimentioning

confidence: 97%

Section: Odd-even Nucleimentioning

confidence: 99%

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Extended approximation for the lowest-lying states in odd-mass nuclei

Mishev¹,

Voronov²

2010

Phys. Rev. C

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“…We plan to obtain results for different multipoles in few nuclei, and comparisons with other existing schemes like the one of Ref. [22] will be carried out.…”

Section: A Model For Odd Nucleimentioning

confidence: 99%

A microscopic approach based on particle-vibration coupling: application to charge-exchange transitions and multiplets in odd nuclei

Niu

Vigezzi

Bortignon

2016

EPJ Web of Conferences

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Abstract. In this contribution, we shall describe a formalism that goes beyond the simple time-dependent mean field and is based on particle-vibration coupling (PVC). Such a formalism has been developed with the idea of being self-consistent. It makes use of Skyrme effective forces, and has been used for several applications. We will focus on charge-exchange transitions, namely we will show that our model describes well both the Gamow-Teller giant resonance width, and the low-lying transitions associated with β-decay. In this latter case, including PVC produces a significant improvement of the half-lives obtained at mean-field level, and leads to a good agreement with experimental data. We will end by discussing particle-phonon multiplets in odd nuclei.

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“…Numerous PVC calculations of increasing level of sophistication have already been performed; see, e.g., Refs. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] and excellent recent reviews thereof available in Refs. [14,18,20].…”

Section: Introductionmentioning

confidence: 99%

Polarization corrections to single-particle energies studied within the energy-density-functional and quasiparticle random-phase approximation approaches

et al. 2014

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. (2014). Polarization corrections to single-particle energies studied within the energy-density-functional and quasiparticle random-phase approximation approaches. Physical Review C, 89 (1), 014307. doi:10.1103/PhysRevC.89.014307 2014Publisher's PDF PHYSICAL REVIEW C 89, 014307 (2014) Polarization corrections to single-particle energies studied within the energy-density-functional and quasiparticle random-phase approximation approaches Background: Models based on using perturbative polarization corrections and mean-field blocking approximation give conflicting results for masses of odd nuclei. Purpose: We systematically investigate the polarization and mean-field models, implemented within selfconsistent approaches that use identical interactions and model spaces, to find reasons for the conflicts between them. Methods: For density-dependent interactions and with pairing correlations included, we derive and study links between the mean-field and polarization results obtained for energies of odd nuclei. We also identify and discuss differences between the polarization-correction and full particle-vibration-coupling (PVC) models. Numerical calculations are performed for the mean-field ground-state properties of deformed odd nuclei and then compared to the polarization corrections determined using the approach that conserves spherical symmetry. Results:We have identified and numerically evaluated self-interaction (SI) energies that are at the origin of different results obtained within the mean-field and polarization-correction approaches. Conclusions:Mean-field energies of odd nuclei are polluted by the SI energies, and this makes them different from those obtained using polarization-correction methods. A comparison of both approaches allows for the identification and determination of the SI terms, which then can be calculated and removed from the mean-field results, giving the self-interaction-free energies. The simplest deformed mean-field approach that does not break parity symmetry is unable to reproduce full PVC effects.

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Effects of ground state correlations on the structure of odd-mass spherical nuclei

Cited by 16 publications

References 10 publications

Extended approximation for the lowest-lying states in odd-mass nuclei

Extended approximation for the lowest-lying states in odd-mass nuclei

A microscopic approach based on particle-vibration coupling: application to charge-exchange transitions and multiplets in odd nuclei

Polarization corrections to single-particle energies studied within the energy-density-functional and quasiparticle random-phase approximation approaches

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