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Polarization Corrections and Mass Differences in Nuclear Structure: Insights from DFT

This study explores polarization corrections in nuclear physics, particularly focusing on energy differences derived from odd-even mass differences (OEMD) in particle states. We examine the impact of particle-vibration coupling, the density functional theory (DFT), and the significance of high-J phonons in many-body perturbation theory. The research uses the Skyrme force with Sly5 parameterization to analyze neutron spectra in various isotopes, including 40Ca and 132Sn, comparing theoretical predictions with experimental data. Crucial insights into self-interaction effects and spectroscopic factors are discussed.

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Polarization Corrections and Mass Differences in Nuclear Structure: Insights from DFT

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  1. Polarization corrections DimitarTarpanov, JacekDobaczewski, JussiToivanen, Gillis Carlson

  2. Polarization corrections from odd-even mass differences • Energy from odd-even mass differences (OEMD) for λparticle statefor λhole state • Polarization correction for a particle state • In DFT energy is functional of densities • Density matrix in neighboring system

  3. Polarization correction from particle-vibration coupling In the case of interaction, that does not depend on density, one can show that: Here X and Y and ω, are the RPA amplitudes and energies and h are given by the relation: 100Sn SV force

  4. Density dependent functional • Self Interaction term No pairing

  5. Importance of high J phonons

  6. Introducing pairing Results across the Sn chain with Sly5 parameterization of the Skyrme force, and volume type pairing

  7. Paticle Vibration Coupling

  8. Neutron Spectrum in 40Ca, theory (SLy5) and experiment

  9. Singular Value Decomposition (SVD) analysis

  10. Experimental data obtained from N.Schwierz et al.,arXiv:0709.3525v1 Fit on 16O,40,48Ca,132Sn, 208Pb

  11. Experimental data obtained from M.G. Porquet Fit on 16O,40,48Ca,56Ni, 208Pb

  12. Conclusions • Don’t forget self-interaction, in mean field calculations • Doing perturbation theory - the high J phonons cannot be neglected easily. • Deviations between the uncorrected mean-field single particle energies and experiment are, in general, not cured by PVC • Spectroscopic factors and single particle energies • Many body perturbation theory for deformed nuclei. Thank you For your Attention

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