Nuclear Physics and Atomic Energy

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Nuclear Physics and Atomic Energy

  ISSN: 1818-331X (Print), 2074-0565 (Online)
  Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine
  Languages: Ukrainian, English
  Periodicity: 4 times per year

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Nucl. Phys. At. Energy 2005, volume 6, issue 2, pages 37-45.
Section: Nuclear Physics.
Received: 20.01.2005; Published online: 30.06.2005.
PDF Full text (en)
https://doi.org/10.15407/jnpae2005.02.037

Temperature dependence of giant dipole resonance width

A. I. Vdovin, A. N. Storozhenko

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow region, Russia

Abstract: The quasiparticle-phonon nuclear model extended to finite temperature within the framework of the thermo field dynamics is applied to calculate a temperature dependence of the spreading width Γ of a giant dipole resonance. Numerical calculations are made for 120Sn and 208Pb nuclei. It is found that the width Γ increases with T. The reason of this effect is discussed as well as a relation of the present approach to other ones existing in the literature.

References:

1. Newton J. O., Herskind B. M., Diamond R. et al. Observation of Giant Dipole Resonances Built on States of High Energy and Spin. Phys. Rev. Lett. 46 (1981) 1383. https://doi.org/10.1103/PhysRevLett.46.1383

2. Egido J. L., Ring P. J. Phys. G: Nucl. Part. Phys. 19 (1993) 1. https://doi.org/10.1088/0954-3899/19/1/002

3. Brink D. M. Summary talk: Giant resonances at finite temperature. Nucl. Phys. A 649 (1999) 218. https://doi.org/10.1016/S0375-9474(99)00065-2

4. Schuck P., Ayik S. Width of hot giant dipole resonance. Nucl. Phys. A 687 (2001) 230. https://doi.org/10.1016/S0375-9474(01)00624-8

5. Pierroutsakou D., Auger F., Alamanos N. et al. The Giant Dipole Resonance in hot Sn nuclei. Nucl. Phys. A 600 (1996) 131. https://doi.org/10.1016/0375-9474(95)00470-X

6. Kusnezov D., Alhassid Y., Snover K. A. Scaling Properties of the Giant Dipole Resonance Width in Hot Rotating Nuclei. Phys. Rev. Lett. 81 (1998) 542. https://doi.org/10.1103/PhysRevLett.81.542

7. Kelly M. P., Snover K. A., van Schagen J. P. S. Giant Dipole Resonance in Highly Excited Nuclei: Does the Width Saturate? Phys. Rev. Lett. 82 (1999) 3404. https://doi.org/10.1103/PhysRevLett.82.3404

8. Ramakrishnan E., Baumann T., Azhari A. et al. Giant Dipole Resonance Built on Highly Excited States of 120Sn Nuclei Populated by Inelastic alpha Scattering. Phys. Rev. Lett. 76 (1996) 2025. https://doi.org/10.1103/PhysRevLett.76.2025

9. Ormand W. E., Bortignon P. -F., Broglia R. A. Temperature Dependence of the Width of the Giant Dipole Resonance in 120Sn and 208Pb. Phys. Rev. Lett. 77 (1996) 607; https://doi.org/10.1103/PhysRevLett.77.607

Ormand W. E., Bortignon P. -F., Broglia R. A., Bracco A. Behavior of the giant-dipole resonance in 120Sn and 208Pb at high excitation energy. Nucl. Phys. A 614 (1997) 217. https://doi.org/10.1016/S0375-9474(96)00464-2

10. Chakrabarty D. R. Shape fluctuation and GDR width - a study from angular momentum gated measurements. Nucl. Phys. A 687 (2001) 184. https://doi.org/10.1016/S0375-9474(01)00619-4

11. Heckman P. et al. Phys. Lett. B 555 (2003) 43. https://doi.org/10.1016/S0370-2693(03)00017-0

12. Bortignon P. -F., Broglia R. A., Bertsch G. F., Pacheco J. Damping of giant dipole resonances at finite temperature. Nucl. Phys. A 460 (1986) 149. https://doi.org/10.1016/0375-9474(86)90121-1

13. Bortignon P. -F., Broglia R. A., Bes D. R., Liotta R. J. Phys. Rep. 30 (1977) 305. https://doi.org/10.1016/0370-1573(77)90018-7

14. Giovanardi N., Bortignon P. -F., Broglia R. A. Damping of giant dipole resonances at finite temperature. Nucl. Phys. A 641 (1998) 95; https://doi.org/10.1016/S0375-9474(98)00466-7

Giovanardi N., Donati P., Bortignon P. -F., Broglia R. A. Ann. Phys. 283 (2000) 308. https://doi.org/10.1006/aphy.2000.6060

15. Seva E. C., Sofia H. M. Temperature dependence and fragmentation of the particle-hole giant resonances. Phys. Rev. C 56 (1997) 3107. https://doi.org/10.1103/PhysRevC.56.3107

16. Smerzi A., Bonasera A., Di Toro M. Damping of giant resonances in hot nuclei. Phys. Rev. C 44 (1991) 1713; https://doi.org/10.1103/PhysRevC.44.1713

Lacroix D., Chomaz Ph., Ayik S. Finite temperature nuclear response in the extended random phase approximation. Phys. Rev. C 58 (1998) 2154; https://doi.org/10.1103/PhysRevC.58.2154

Yilmaz O., Gokalp A., Yildirim S., Ayik S. On the collisional damping of giant dipole resonance. Phys. Lett. B 472 (2000) 258. https://doi.org/10.1016/S0370-2693(99)01434-3

17. Kolomietz V. M., Plujko V. A., Shlomo S. Interplay between one-body and collisional damping of collective motion in nuclei. Phys. Rev. C 54 (1996) 3014; https://doi.org/10.1103/PhysRevC.54.3014

Plujko V. A., Ezhov S. N., Gorbachenko O. M., Kavatsyuk M. O. Non-Markovian Collision Integral in Fermi Systems. J. Phys.: Condens. Matter 14 (2002) 9473. https://doi.org/10.1088/0953-8984/14/41/304

18. Vdovin A. I., Kosov D. S. Bull. RAS, physics 58 (1994) 1792.

19. Vdovin A. I., Kosov D. S. Phys. At. Nucl. 58 (1995) 829.

20. Kosov D. S., Vdovin A. I. Mod. Phys. Lett. A 9 (1994) 1735. https://doi.org/10.1142/S0217732394001581

21. Vdovin A. I., Soloviev V. G. The Quasiparticle-Phonon Nuclear Model. III. One-Phonon States in Spherical Nuclei. Sov. J. Part. Nucl. 14 (1983) 99.

22. Voronov V. V., Soloviev V. G. The Quasiparticle-Phonon Nuclear Model. IV. Fragmentation of One-Phonon and Two-Quasiparticle States in Spherical Nuclei. Sov. J. Part. Nucl. 14 (1983) 583.

23. Soloviev V. G. Theory of Atomic Nuclei: Quasiparticles and Phonons (Bristol/Philadelphia: Institute of Physics Publishing, 1992).

24. Takahashi Y., Umezawa H. Collect. Phenom. 2 (1975) 55;

Umezawa H., Matsumoto H., Tachiki M. Thermo Field Dynamics and Condensed States (North-Holland, Amsterdam, 1982).

25. Hatsuda T. Mean field theory and boson expansion at finite temperature on the basis of the thermo field dynamics. Nucl. Phys. A 492 (1989) 187. https://doi.org/10.1016/0375-9474(89)90081-X

26. Storozhenko A., Vdovin A., Ventura A., Blokhin A. Temperature dependence of spreading width of giant dipole resonance. Phys. Rev. C 69 (2004) 064320. https://doi.org/10.1103/PhysRevC.69.064320

27. Vautherin D., Vinh Mau N. Temperature dependence of collective states in the random-phase approximation. Nucl. Phys. A 422 (1984) 140; https://doi.org/10.1016/0375-9474(84)90434-2

Sagawa H., Bertsch G. F. Phys. Lett. B 146 (1984) 138. https://doi.org/10.1016/0370-2693(84)91004-9

28. Baumann T., Ramakrishnan E., Azhari A. et al. Evolution of the giant dipole resonance in excited 120Sn and 208Pb nuclei populated by inelastic alpha scattering. Nucl. Phys. A 635 (1998) 428. https://doi.org/10.1016/S0375-9474(98)00197-3

29. Aouissat Z., Storozhenko A., Vdovin A., Wambach J. Importance of single-boson and single-fermion mappings in the thermal boson expansion. Phys. Rev. C 64 (2001) 015201; https://doi.org/10.1103/PhysRevC.64.015201

Dzhioev A., Aouissat Z., Storozhenko A. et al. Extended Holstein-Primakoff mapping for the next-to-leading order of the 1/N expansion at finite temperature. Phys. Rev. C 69 (2004) 014318. https://doi.org/10.1103/PhysRevC.69.014318