Abstract

Abstract The relativistic random-phase approximation (RRPA) plus phonon-coupling (PC) model is applied in the analysis of E1 strength distributions in 208 Pb and 132 Sn, for which data on pygmy dipole resonances (PDR) have recently been reported. The covariant response theory is fully consistent: the effective nuclear interaction NL3 is used both to calculate the spectrum of single-nucleon Dirac states, and as the residual interaction which determines the collective phonon states in the relativistic RPA. It is shown that the picture of the PDR as a resonant oscillation of the neutron skin against the isospin saturated proton–neutron core, and with the corresponding RRPA state characterized by a coherent superposition of many neutron particle–hole configurations, remains essentially unchanged when particle–vibration coupling is included. The effect of two-phonon admixtures is a weak fragmentation and a small shift of PDR states to lower excitation energy. Even though the PDR calculated in the extended model space of p h ⊗ phonon configurations contains sizeable two-phonon admixtures, it basically retains a one-phonon character and its dynamics is not modified by the coupling to low-lying surface vibrations.

Highlights

  • The relativistic random-phase approximation (RRPA) plus phonon-coupling (PC) model is applied in the analysis of E1 strength distributions in 208Pb and 132Sn, for which data on pygmy dipole resonances (PDR) have recently been reported

  • The situation is different in medium-heavy and heavy nuclei, where the occurrence of collective PDR states has been predicted by several RPA-based calculations, whereas other studies, including RPA-based models, did not find collective pygmy states in the energy region below the giant dipole resonance (GDR), but only dipole states characterized by single-neutron particle-hole configurations

  • The relativistic RPA and QRPA analyses of the dynamics of low-lying E1 strength distributions described above were performed on the mean-field level, i.e. without taking into account the spreading effects which arise from the coupling of single-nucleon states to the collective low-lying excitations

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Summary

Introduction

The relativistic random-phase approximation (RRPA) plus phonon-coupling (PC) model is applied in the analysis of E1 strength distributions in 208Pb and 132Sn, for which data on pygmy dipole resonances (PDR) have recently been reported.

Results
Conclusion
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