The compression modes in atomic nuclei and their relevance for the nuclear equation of state

Physics of Particles and Nuclei

Volumn 39, Issue 2, 2008, Pages 286-305

  Colo G ^a  

^a UNIVERSITY OF MILAN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 42149192510     PISSN: 10637796     EISSN: 15318559     Source Type: Journal    
DOI: 10.1134/s1063779608020056     Document Type: Article

References (82)

1. J. P. Blaizot, "Nuclear Compressibilites," Phys. Rep. 64, 171-248 (1980).
2. G. Colò and N. Van Giai, "Theoretical Understanding of the Nuclear Incompressibility: Where Do We Stand?," in Collective Motion in Nuclei Under EXtreme Conditions (COMEX1), Paris, 2003, Nucl. Phys. A 731, 15-27 (2004).
3. G. Colò and N. Van Giai, "Relativistic and Nonrelativistic Calculations of the Isoscalar Monopole and Dipole States," in Proc. of Intern. Conf. on Nuclear Structure and Related Topics, NRST2003, Phys. At. Nucl. 67, 1759-1763 (2004).
4. S. Shlomo, V.M. Kolomietz, and G. Colò, "Deducing the Nuclear-Matter Incompressibility Coefficient from Data on Isoscalar Compression Modes," Eur. Phys. J. A 30, 23-30 (2006).
5. N. Paar, D. Vretenar, E. Khan, and G. Colò, "Exotic Modes of Excitation in Atomic Nuclei Far from Stability," Rep. Progr. Phys. 7, 691-793 (2007).
6. T. H. R. Skyrme, "The Effective Nuclear Potential," Nucl. Phys. 9, 615-634 (1959).
7. D. Vautherin and D. M. Brink, "Hartree-Fock Calculations with Skyrme's Interaction. I. Spherical Nuclei," Phys. Rev. C 5, 626-647 (1972).
8. M. Beiner, H. Flocard, N. Van Giai, and Ph. Quentin, "Nuclear Ground-State Properties and Self-Consistent Calculations with the Skyrme Interaction: I. Spherical Description," Nucl. Phys. A 238, 29-69 (1975).
9. M. Bender, P.-H. Heenen, and P.-G. Reinhard, "Self-Consistent Mean-Field Models for Nuclear Structure," Rev. Mod. Phys. 75, 121-180 (2003).
10. J. Dechargé and D. Gogny, "Hartree-Fock-Bogolyubov Calculations with the D1 Effective Interaction on Spherical Nuclei," Phys. Rev. C 21, 1568-1593 (1980).
11. J. F. Berger, M. Girod, and D. Gogny, "Time-Dependent Quantum Collective Dynamics Applied to Nuclear Fission," Comp. Phys. Comm. 63, 365-374 (1991).
12. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, 1980).
13. B. A. Brown, "Neutron Radii in Nuclei and the Neutron Equation of State," Phys. Rev. Lett. 85, 5296-5298 (2000); R. J. Furnstahl, "Neutron Radii in Mean-field Models," Nucl. Phys. A 706, 85-110 (2002); A. W. Steiner, M. Prakash, J. M. Lattimer, and P. J. Ellis, "Isospin Asymmetry in Nuclei and Neutron Stars," Phys. Rep. 411, 325-375 (2005).
14. E. Chabanat, P. Bonche, P. Haensel, et al., "A Skyrme Parametrization from Subnuclear to Neutron Star Densities," Nucl. Phys. A 635, 231-256 (1998).
15. G. A. Lalazissis, J. König, and P. Ring, "New Parametrization for the Lagrangian Density of Relativistic Mean Field Theory," Phys. Rev. C 55, 540-543 (1997).
16. B. D. Serot and J. D. Walecka, "The Relativistic Nuclear Many-Body Problem," Adv. Nucl. Phys. 16, 1-327 (1986).
17. D. Vretenar, A. V. Afanasjev, G. A. Lalazissis, and P. Ring, "Relativistic Hartree-Bogoliubov Theory: Static and Dynamic Aspects of Exotic Nuclear Structure," Phys. Rep. 409, 101-259 (2005).
18. T. Bürvenich, D. G. Madland, J. A. Maruhn, and P.-G. Reinhard, "Nuclear Ground State Observables and QCD Scaling in a Refined Relativistic Point Coupling Model," Phys. Rev. C 65, 044308-1-044308-23 (2002).
19. W. H. Long, H. Sagawa, J. Meng, and N. Van Giai, "Pseudo-Spin Symmetry in Density Dependent Relativistic Hartree-Fock Theory," Phys. Lett. B 639, 242-247 (2006).
20. D. J. Rowe, Nuclear Collective Motion (Methuen, 1970).
21. G. F. Bertsch and S. F. Tsai, "A Study of the Nuclear Response Function," Phys. Rep. 18, 125-158 (1975).
22. O. Bohigas, A. M. Lane, and J. Martorell, "Sum Rules for Nuclear Collective Excitation," Phys. Rep. 52, 267-316 (1979).
23. B. K. Agrawal, S. Shlomo, and A. I. Sanzhur, "Self-Consistent Hartree-Fock Based Random Phase Approximation and the Spurious State Mixing," Phys. Rev. C 67, 034314-1-034314-14 (2003); B. K. Agrawal and S. Shlomo, "Consequences of Self-Consistency Violations in Hartree-Fock Random-Phase Approximation Calculations of the Nuclear Breathing Mode Energy," Phys. Rev. C 70, 014308-1-014308-4 (2004).
24. J. Terasaki, J. Engel, M. Bender, et al., "Self-Consistent Description of Multipole Strength in Exotic Nuclei: Method," Phys. Rev. C 71, 034310-1-034310-15 (2005).
25. S. Peru, J. F. Berger, and P. F. Bortignon, "Giant Resonances in Exotic Spherical Nuclei within the RPA Approach with the Gogny Force," Eur. Phys. J. A 26, 25-32 (2005).
26. S. Fracasso and G. Colò, "The Fully Self-Consistent Charge-Exchange QRPA and Its Application to the Isobaric Analog Resonances," Phys. Rev. C 72, 064310-1-064310-9 (2005).
27. T. Sil, S. Shlomo, B. K. Agrawal, and P.-G. Reinhard, "Effects of Self-Consistency Violation in Hartree-Fock RPA Calculations for the Nuclear Giant Resonances Revisited," Phys. Rev. C 73, 034316-1-034316-7 (2006).
28. G. Colò, P. F. Bortignon, S. Fracasso, and N. Van Giai, "What Can We Learn from Recent Non-Relativistic Mean Field Calculations?," Nucl. Phys. A 788 (2007).
29. N. Van Giai and H. Sagawa, "Spin-Isospin and Pairing Properties of Modified Skyrme Interactions," Phys. Lett. B 106, 379-382 (1981).
30. E. Lipparini and S. Stringari, "Sum Rules and Giant Resonances in Nuclei," Phys. Rep. 175, 103-261 (1989).
31. A. M. Lane and J. Martorell, "The Random Phase Approximation: Its Role in Restoring Symmetries Lacking in the Hartree-Fock Approximation," Ann. Phys. 129, 273-302 (1980).
32. J. P. Blaizot and G. Ripka, Quantum Theory of Finite Systems (MIT, 1986).
33. G. F. Bertsch, "The Nuclear Response Function," Progr. Theor. Phys. 74-75, 115-141 (1983).
34. G. Colò, N. Van Giai, P. F. Bortignon, and M. R. Quaglia, "On Dipole Compression Modes in Nuclei," Phys. Lett. B 485, 362-366 (2000).
35. N. Van Giai and H. Sagawa, "Monopole and Dipole Compression Modes in Nuclei," Nucl. Phys. A 371, 1-18 (1981).
36. A. Kolomiets, O. Pochivalov, and S. Shlomo, "Microscopic Description of Excitation of Nuclear Isoscalar Giant Resonances by Inelastic Scattering of 240 MeV α Particles," Phys. Rev. C 61, 034312-1-034312-8 (2000); S. Shlomo and A. I. Sanzhur, "Isoscalar Giant Dipole Resonance and Nuclear Matter Incompressibility Coefficient," Phys. Rev. C 65, 044310-1-044310-5 (2002).
37. 126: The Spurious Mode and the Strength in the Continuum," Phys. Rev. C 66, 044315-1-044315-7 (2002).
38. N. K. Glendenning, "Equation of State from Nuclear and Astrophysical Evidence," Phys. Rev. C 37, 2733-2743 (1988).
39. W. D. Myers and W. J. Swiatecki, "Nuclear Equation of State," Phys. Rev. C 57, 3020-3025 (1998).
40. L. Satpathy, V. S. Uma Maheswari, and R. C. Nayak, "From Nuclei to Nuclear Matter: A Leptodermous Approach," Phys. Rep. 319, 85-144 (1999).
41. J. P. Blaizot, J. F. Berger, J. Dechargè, and N. Girod, "Microscopic and Macroscopic Determination of Nuclear Compressibility, " Nucl. Phys. A 591, 435-457 (1995).
42. W. Von Oertzen, H. G. Bohlen, and D. T. Khoa, "Nuclear Rainbow and the EOS of Nuclear Matter," Nucl. Phys. A 722, 202-208 (2003).
43. D. T. Khoa, W. von Oertzen, H. G. Bohlen, and S. Ohkubo, "Nuclear Rainbow Scattering and Nucleus-Nucleus Potential," J. Phys. G: Nucl. Part. Phys. 34, R111-R164 (2007).
44. J. B. Natowitz, K. Hagel, Y. Ma, et al., "Limiting Temperatures and the Equation of State of Nuclear Matter," Phys. Rev. Lett. 89, 212701-1-212701-4 (2002).
45. S. Shlomo and D. H. Youngblood, "Nuclear Matter Compressibility from Isoscalar Giant Monopole Resonance," Phys. Rev. C 47, 529-536 (1993).
46. J. M. Pearson, "The Incompressibility of Nuclear Matter and the Breathing Mode," Phys. Lett. B 271, 12-16 (1991).
47. J. Treiner, H. Krivine, O. Bohigas, and J. Martorell, "Nuclear Incompressibility: From Finite Nuclei to Nuclear Matter," Nucl. Phys. A 371, 253-287 (1981).
48. N. Van Giai, P. F. Bortignon, G. Colò, et al., "Compression Modes in Nuclei: Theoretical Approaches," in Proc. of Intern. Conf. on Giant Resonances, Osaka, 2000, Nucl. Phys. A 687, 44-51 (2001).
49. 208Pb," Phys. Lett. B 276, 279-284 (1992).
50. G. F. Bertsch, P. F. Bortignon, and R. A. Broglia, "Damping of Nuclear Excitations," Rev. Mod. Phys. 55, 287-314 (1983).
51. 208Pb," Phys. Rev. C 69, 034315-1-034315-14 (2004).
52. 90Zr," Phys. Rev. C 69, 054312-1-054312-6 (2004).
53. G. R. Satchler, Direct Nuclear Reactions (University Press, Oxford, 1983).
54. 58Ni and Uncertainties in the Analysis of α-Particle Scattering," Phys. Rev. C 55, 285-297 (1997).
55. Z. Ma, N. Van Giai, A. Wandelt, and D. Vretenar, "Isoscalar Compression Modes in Relativistic Random Phase Approximation," Nucl. Phys. A 686, 173-186 (2001).
56. D. Vretenar, T. Niksič, and P. Ring, "A Microscopic Estimate of the Nuclear Matter Compressibility and Symmetry Energy in Relativistic Mean-Field Models," Phys. Rev. C 68, 024310-1-024310-9 (2003).
57. I. Hamamoto, H. Sagawa, and X. Z. Zhang, "Giant Monopole Resonances in Nuclei Near Stable and Drip Lines," Phys. Rev. C 56, 3121-3133 (1997).
58. G. Colò, N. Van Giai, P. F. Bortignon, and M. R. Quaglia, "Compression Modes in Nuclei: RPA and QRPA Predictions with Skyrme Interactions," in Proc. of Intern. Conf. on Nuclear Structure and Related Topics NRST2000 (Dubna, 2000);
59. Yad. Fiz. 64, 1119-1122 (2001)
60. [Phys. At. Nucl. 64, 1044-1047 (2001)].
61. B. K. Agrawal, S. Shlomo, and V. K. Au, "Nuclear Matter Incompressibility Coefficient in Relativistic and Nonrelativistic Microscopic Models," Phys. Rev. C 68, 031304-1-031304-5 (2003); S. Shlomo, B. K. Agrawal, and V. K. Au, "Status of the Nuclear Matter Equation of State As Determined from Compression Modes," Nucl. Phys. A 734, 589-592 (2004).
62. G. Colò, N. Van Giai, J. Meyer, et al., "Microscopic Determination of the Nuclear Incompressibility within the Nonrelativistic Framework," Phys. Rev. C 70, 024307-1-024307-9 (2004).
63. J. Piekarewicz, "Correlating the Giant-Monopole Resonance to the Nuclear-Matter Incompressibility," Phys. Rev. C 66, 034305-1-034305-5 (2002).
64. S. K. Patra, M. Centelles, X. Vinas, and M. Del Estal, "Surface Incompressibility from Semiclassical Relativistic Mean Field Calculations," Phys. Rev. C 65, 044304-1-044304-7 (2002).
65. U. Garg, T. Li, S. Okumura, et al., "The Giant Monopole Resonance in the Sn Isotopes: Why Is Tin So "Fluffy"?," Nucl. Phys. A 788, 36 (2007).
66. 112-124Sn Isotopes and the Asymmetry Term in Nuclear Incompressibility," Phys. Rev. Lett. 99, 162503 (2007).
67. B. G. Todd-Rutel and J. Piekarewicz, "Neutron-Rich Nuclei and Neutron Stars: A New Accurately Calibrated Interaction for the Study of Neutron-Rich Matter," Phys. Rev. Lett. 95, 122501-1-122501-4 (2005).
68. 124Sn: Isotopic Dependence of Monopole Resonance Energies," Phys. Rev. C 70, 014307-1-014307-4 (2004).
69. 208Pb: Macroscopic and Microscopic Analysis," Nucl. Phys. A 380, 42-60 (1982).
70. T. S. Dumitrescu and F. E. Serr, "Self-Consistent Calculations of Dipole and Quadrupole Compression Modes," Phys. Rev. C 27, 811-815 (1983).
71. 208Pb, " Phys. Rev. C 63, 031301R-1-031301R-5 (2001).
72. 208Pb Using Inelastic α Scattering at and near 0°," Phys. Rev. Lett. 79, 609-612 (1997).
73. D. Vretenar, A. Wandelt, and P. Ring, "Isoscalar Dipole Mode in Relativistic Random Phase Approximation," Phys. Lett. B 487, 334-340 (2000).
74. I. Hamamoto, H. Sagawa, and X. Z. Zhang, "Isoscalar and Isovector Dipole Mode in Drip Line Nuclei in Comparison with β-Stable Nuclei," Phys. Rev. C 57, R1064-R1068 (1998).
75. G. Colò, N. Van Giai, P. F. Bortignon, and M. R. Quaglia, "Compression Modes in Nuclei: Microscopic Models with Skyrme Interactions," in Proc. of RIKEN Symp. on Selected Topics in Nuclear Collective Excitations (RIKEN, 1999);
76. RIKEN Rev. 23, 39-42 (1999).
77. M. Uchida, H. Sakaguchi, M. Itoh, et al., "Systematics of the Bimodal Isoscalar Giant Dipole Resonance," Phys. Rev. C 69, 051301R-1-051301R-5 (2004).
78. M. Itoh, H. Sakaguchi, M. Uchida, et al., "Systematics Study of L = 0-3 Giant Resonances in Sm Isotopes via Multipole Decomposition Analysis," Phys. Rev. C 68, 064602-1-064602-10 (2003).
79. 208Pb Excited by 240 MeV α Particle Scattering," Nucl. Phys. A 649, 57c-60c (1999).
80. 208Pb, " Phys. Rev. C 63, 031301R-1-031301R-5 (2001).
81. 208Pb via Inelastic α Scattering at 400 MeV and Nuclear Incompressibility," Phys. Lett. B 557, 12-19 (2003).
82. U. Garg, "The Isoscalar Giant Resonance: A Status Report," Nucl. Phys. A 731, 3-14 (2004).