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QRPA Calculation in Fitting Process of Functional

QRPA Calculation in Fitting Process of Functional. J. Terasaki (Univ. North Carolina at Chapel Hill). QRPA 2. Motivation to search energy density functional 3. Energies and BE2’s of lowest 2 + states of spherical nuclei 4. Gamow-Teller strength. Quasiparticle random-phase approximation.

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QRPA Calculation in Fitting Process of Functional

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  1. QRPA Calculation in Fitting Process of Functional J. Terasaki (Univ. North Carolina at Chapel Hill) • QRPA • 2. Motivation to search energy density functional • 3. Energies and BE2’s of lowest 2+ states of spherical nuclei • 4. Gamow-Teller strength

  2. Quasiparticle random-phase approximation Introduce a creation operator of an excited state: creation operator of quasiparticle HFB calculation QRPA equation and

  3. If you define creation operator of single-particle excited states obtained by 2-particle transfer reaction are obtained. If you define neutron-annihilation and proton-creation operator excited states obtained by charge-exchange reaction are obtained.

  4. Origin of nuclear energy functional theory D. Vautherin and D.M. Brink, PRC 5, 626 (1972)

  5. calculated nuclei having exp first 2+ energy original figure: http://www.nndc.bnl.gov/chart/

  6. Lowest 2+ states of spherical nuclei Gogny, D1S SLy4 GCM → collective Hamil- tonian GCM J. T. and J. Engel, arXiv:0801.2346v1 B. Sabbey et al., Phys. Rev. C 75, 044305 (2007) G.F. Bertsch et al., Phys. Rev. Lett. 99, 032502 (2007)

  7. strength of momentum-independent spin-isospin term M. Bender et al., Phys. Rev. C 65, 054322 (2002)

  8. Summary Energies and BE2’s of lowest 2+ states of spherical nuclei were compared with exp. data and different calculations. Quality of energy of QRPA calculation is comparable with GCM+coll.Hamiltonian and better than GCM. QRPA is not good for light nuclei in terms of BE2. QRPA is powerful for calculating strength functions, but it was not mentioned. This talk is based on collaboration with Dr. J. Engel.

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