Damping of high-lying single-particle modes in heavy nuclei

Galès, S.; Stoyanov, Ch.; Vdovin, A.I.

doi:10.1016/0370-1573(88)90066-x

Cited by 154 publications

(86 citation statements)

References 80 publications

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“…[14,15,[22][23][24][25][26][27]). This model has already been used in spectroscopic studies of odd nuclei over a wide mass region [14,15]. The application of the model in the case of isomeric states is described in detail in Refs.…”

Section: Theoretical Treatment Of the Isomer Population Inmentioning

confidence: 99%

“…The notation α + jm is the quasiparticle creation operator with shell quantum numbers j ≡ (n, l, j) and m; Q To solve this problem, the exact commutation relations between quasiparticle and phonon operators are used [14,15]. An efficient procedure for the approximate treatment of the Pauli principle corrections has been proposed in Ref.…”

Section: Theoretical Treatment Of the Isomer Population Inmentioning

confidence: 99%

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Population of isomers in the decay of the giant dipole resonance

et al. 2000

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The value of an isomeric ratio (IR) in N=81 isotones ( 137 Ba, 139 Ce, 141 Nd and 143 Sm) is studied by means of the (γ, n) reaction. This quantity measures a probability to populate the isomeric state in respect to the ground state population. In (γ, n) reactions, the giant dipole resonance (GDR) is excited and after its decay by a neutron emission, the nucleus has an excitation energy of a few MeV. The forthcoming γ decay by direct or cascade transitions deexcites the nucleus into an isomeric or ground state. It has been observed experimentally that the IR for 137 Ba and 139 Ce equals about 0.13 while in two heavier isotones it is even less than half the size. To explain this effect, the structure of the excited states in the energy region up to 6.5 MeV has been calculated within the Quasiparticle Phonon Model. Many states are found connected to the ground and isomeric states by E1, E2 and M 1 transitions. The single-particle component of the wave function is responsible for the large values of the transitions. The calculated value of the isomeric ratio is in very good agreement with the experimental data for all isotones. A slightly different value of maximum energy with which the nuclei rest after neutron decay of the GDR is responsible for the reported effect of the A-dependence of the IR.

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Section: Theoretical Treatment Of the Isomer Population Inmentioning

confidence: 99%

Section: Theoretical Treatment Of the Isomer Population Inmentioning

confidence: 99%

Population of isomers in the decay of the giant dipole resonance

et al. 2000

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“…The corresponding single-particle spectra for the A = 90 region can be found in [18]. The strengths of the quadrupole-quadrupole and octupole-octupole interactions were fixed by a fit of the lowest 2 + 1 and 3 − 1 levels of 96 Ru.…”

Section: Resultsmentioning

confidence: 99%

“…The strengths of the quadrupole-quadrupole and octupole-octupole interactions were fixed by a fit of the lowest 2 + 1 and 3 − 1 levels of 96 Ru. The strengths of the other multipole terms are adjusted to keep unchanged the energy of the computed two-quasiparticle states [18].This set of parameters was widely used and gave an overall description of the low-lying as well as the high-lying states of nuclei in this mass region [18]. …”

Section: Resultsmentioning

confidence: 99%

Quasiparticle-phonon model and quadrupole mixed-symmetry states of⁹⁶Ru

Stoyanov

Pietralla

2016

EPJ Web of Conferences

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Abstract. The structure of low-lying quadrupole states of 96 Ru was calculated within the Quasiparticle-Phonon Model. It is shown that symmetric and mixed-symmetry properties manifest themselves via the structure of the excited states. The first 2 + state is collective and neutron and proton transition matrix elements M n and M p are in-phase, while the neutron and proton transition matrix elements M n and M p have opposite signs for the third 2 + state. This property of the third 2 + state leads to a large M1 transition between the first and third 2 + states. It is an unambigous demonstration of the mixed-symmetry nature of the third 2 + state. The structure of the first 1 + state is calculated. The state is a member of the two-phonon multiplet generated by the coupling of the

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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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Damping of high-lying single-particle modes in heavy nuclei

Cited by 154 publications

References 80 publications

Population of isomers in the decay of the giant dipole resonance

Population of isomers in the decay of the giant dipole resonance

Quasiparticle-phonon model and quadrupole mixed-symmetry states of⁹⁶Ru

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

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Damping of high-lying single-particle modes in heavy nuclei

Cited by 154 publications

References 80 publications

Population of isomers in the decay of the giant dipole resonance

Population of isomers in the decay of the giant dipole resonance

Quasiparticle-phonon model and quadrupole mixed-symmetry states of96Ru

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

Contact Info

Product

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Quasiparticle-phonon model and quadrupole mixed-symmetry states of⁹⁶Ru