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Damping of giant resonances in extended RPA with ground state correlations

Damping of giant resonances in extended RPA with ground state correlations. Kyorin University Mitsuru Tohyama. Contents. Time-dependent density-matrix theory (TDDM) and its small-amplitude limit (STDDM) Giant quadrupole resonance in 16 O Summary. TDDM and STDDM.

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Damping of giant resonances in extended RPA with ground state correlations

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  1. Damping of giant resonances in extended RPA with ground state correlations Kyorin University Mitsuru Tohyama

  2. Contents • Time-dependent density-matrix theory (TDDM) and its small-amplitude limit (STDDM) • Giant quadrupole resonance in 16O • Summary

  3. TDDM and STDDM TDDM is an extended TDHF and gives time evolution of r and C2 Time derivatives of r and C2 BBGKY hierarchy: S. J. Wang and W. Cassing, Ann. Phys. 159(1985)328

  4. Truncation C3=0 gives TDDM equations Applications of TDDM GQR: M. Tohyama and A. S. Umar, Phys. Lett. B549 (2002)72 Fusion: Phys. Rev. C65(2002)037601

  5. Time independent form of TDDM Ground state: A stationary solution of TDDM eqs. Born term Pair correlations p-h correlation

  6. Iterative gradient method M. Tohyama et al., Eur. Phys. J. A 21, 217(2004)

  7. STDDM: Linearization of TDDM eqs. for dr and dC2 a, b and d contain n and C : g.s. correlations Neglect of g.s. correlations: STDDM Second RPA Application of STDDM to 2+1 in oxygen isotopes M. Tohyama et al., Prog. Theor. Phys. 114(2005)1021

  8. Giant quadrupole resonance in 16O

  9. Spectrum of electrons scattered from 16O A. Hotta et al., Phys. Rev. Lett. 33(1974)790

  10. Calculational details Effective interaction: Skyrme III Single-particle states: n and C : 1p3/2, 1p1/2, 1d5/2 xαα’: 1s1/2~ 1f5/2 Xαβα’β’: 1p3/2, 1p1/2, 1d5/2

  11. Strength function for r2Y20 RPA SRPA STDDM Reduced strength of SKIII

  12. Damping processes STDDM and SRPA Only in STDDM

  13. Spectrum of electrons scattered from 16O A. Hotta et al., Phys. Rev. Lett. 33(1974)790

  14. Strength function for r2Y20 RPA STDDM SRPA Original strength of SKIII

  15. Summary • STDDM based on TDDM ground state was presented. STDDM is an ERPA with ground-state correlations. • STDDM was applied to GQR in 16O. STDDM gives larger fragmentation of 2+ states than SRPA. →Importance of ground-state correlations

  16. Ground state of 16O Etot(MeV) = EMF + Ecor = -122.4 -12.5 = -134.9 < EHF= -130.8

  17. Quadrupole states in 16O *A. Hotta et al., Phys. Rev. Lett. 33 (1974) 790.

  18. Relation to HFB and QRPA M. Tohyama and S. Takahara: Prog. Theor. Phys. 112, 499 (2004)

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