The Gamow-Teller resonance in finite nuclei in the relativistic random phase approximation

  • Z.-Y. MaEmail author
  • B.-Q. Chen
  • N. Van Giai
  • T. Suzuki


Gamow-Teller (GT) resonances in finite nuclei are studied in a fully consistent relativistic random phase approximation (RPA) framework. A relativistic form of the Landau-Migdal contact interaction in the spin-isospin channel is adopted, which has a vector part as well as a time-like component. This choice ensures that the GT excitation energy in nuclear matter is correctly reproduced in the non-relativistic limit. The GT response functions of doubly magic nuclei 48Ca, 90Zr and 208Pb are calculated using the parameter set NL3 and g’ = 0.6. It is found that the effects related to Dirac sea states account for a reduction of 6-7% in the GT sum rule. The quenching of the GT strength in finite nuclei implies that the value of g’ in the relativistic model might be enlarged about 7%. The time component in the relativistic form of the Landau-Migdal force plays a little role in GT resonance energies.


208Pb Nuclear Matter Contact Interaction Relativistic Form Random Phase Approximation 
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  1. 1.
    P. Ring, Prog. Part. Nucl. Phys. 37, 197 (1996).CrossRefGoogle Scholar
  2. 2.
    J.F. Dawson, R.J. Furnstahl, Phys. Rev. C 42, 2009 (1990).CrossRefGoogle Scholar
  3. 3.
    C.J. Horowitz, J. Piekarewicz, Nucl. Phys. A 511, 461 (1990).CrossRefGoogle Scholar
  4. 4.
    Z.Y. Ma Commun. Theor. Phys. 32, 493 (1999).Google Scholar
  5. 5.
    Z.Y. Ma, N. Van Giai, A. Wandelt, D. Vretenar, P. Ring, Nucl. Phys. A 686, 173 (2001).CrossRefGoogle Scholar
  6. 6.
    D. Vretenar, Nucl. Phys. A 649, 29c (1999).CrossRefGoogle Scholar
  7. 7.
    G.A. Lalazissis et al. , Phys. Rev. C 55, 540 (1997).CrossRefGoogle Scholar
  8. 8.
    P. Ring, Z.Y. Ma, N. Van Giai, D. Vretenar, A. Wandelt, L.G. Cao, Nucl. Phys. A 694, 249 (2001).CrossRefzbMATHGoogle Scholar
  9. 9.
    Z.Y. Ma, A. Wandelt, N. Van Giai, D. Vretenar, P. Ring, L.G. Cao, Nucl. Phys. A 703, 222 (2002).CrossRefGoogle Scholar
  10. 10.
    T. Wakasa et al. , Phys. Rev. C 55, 2909 (1997).CrossRefGoogle Scholar
  11. 11.
    T. Wakasa, H. Sakai, S. Fujita, T. Noanaka et al. , Nucl. Phys. A 687, 26c (2001); H. Sakai, K. Yako, Nucl. Phys. A 722, 294 (2003).CrossRefGoogle Scholar
  12. 12.
    K. Ikeda , S. Fujii, J.I. Fujita, Phys. Lett. 3, 271 (1963).CrossRefzbMATHGoogle Scholar
  13. 13.
    G.F. Bertsch, I. Hamamoto, Phys. Rev. C 26, 1323 (1982).CrossRefGoogle Scholar
  14. 14.
    E. Oset, M Rho, Phys. Rev. Lett. 42, 47 (1979).CrossRefGoogle Scholar
  15. 15.
    C. De Conti, A.P. Galeão, E. Krmpotié, Phys. Lett. B 444, 14 (1998).CrossRefGoogle Scholar
  16. 16.
    C. De Conti, A.P. Galeão, E. Krmpotié, Phys. Lett. B 494, 46 (2000).CrossRefGoogle Scholar
  17. 17.
    H. Kurasawa, T. Suzuki, N. Van. Giai, Phys. Rev. Lett. 91, 062501 (2003); Phys. Rev. C 68, 064311 (2003).CrossRefGoogle Scholar
  18. 18.
    C.J. Horowitz, J. Piekarewicz, Phys. Rev. C 50, 2540 (1994).CrossRefGoogle Scholar
  19. 19.
    Z.Y. Ma, N. Van Giai, H. Toki, M. L’Huillier, Phys. Rev. C 55, 2385 (1997).CrossRefGoogle Scholar
  20. 20.
    D.M. Brink, G.R. Satchler, Angular Momentum (Oxford University Press, London, 1962).Google Scholar
  21. 21.
    B.D. Anderson et al. , Phys. Rev. C 31, 1161 (1985).CrossRefGoogle Scholar
  22. 22.
    H. Akimune et al. , Phys. Rev. C 52, 604 (1995).CrossRefGoogle Scholar

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© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  • Z.-Y. Ma
    • 1
    • 2
    Email author
  • B.-Q. Chen
    • 1
    • 2
  • N. Van Giai
    • 3
  • T. Suzuki
    • 4
    • 5
  1. 1.China Institute of Atomic EnergyBeijingPRC
  2. 2.Center of Theoretical Nuclear PhysicsNational Laboratory of Heavy Ion Accelerator of LanzhouLanzhouPRC
  3. 3.Institut de Physique NucléaireIN2P3-CNRSOrsay CedexFrance
  4. 4.Department of Applied PhysicsFukui UniversityFukuiJapan
  5. 5.RIKENWako-shi, SaitamaJapan

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