着重讨论了建立在相对论平均场基态上的相对论无规位相近似的自洽处理.自洽处理要求基态和巨共振激发态的研究从同一个拉氏量出发,采用同一种建立在相对论下的完备基上的近似.同时也讨论了自洽条件下Dirac海核子态的作用,指出Dirac海核子态的贡献不能忽略,特别是在核的巨单极共振的情况.用约束的相对论平均场方法得到核的巨单极共振的能量逆权重的求和规则,从数值上验证了Dirac海核子态的贡献.
A consistent treatment is extremely important in relativistic approaches. We emphasized the consistent approach in relativistic random phase approximation built on relativistic mean filed ground states. The consistent treatment requires that the studies of the ground state and excited states of giant resonances are based on same effective Lagrangian, and on a same complete set of basis. It was found that the effect of the Dirac states could not be neglected, especially in the case of giant monopole resonance. A constrained relativistic mean filed theory was adopted to obtain the energy inverse weighted sum rule of giant monopole resonance, which shows again the importance of the effect of Diarc states.
参考文献
[1] | Ring P. Relativistic Mean Field Theory in Finite Nuclei [J].Prog Part Nucl Phys , 1996, 37:193-263 and reference cited therein. |
[2] | Bertsch G F, Tsai S F. A Study of the Nuclear Response Function[J]. Phys Reports, 1975, 18: 125-158. |
[3] | Ma Z Y. Sum Rule in a Consistent Relativistic RPA[J].Commun Theor Phys, 1999, 32: 493-498; Ma Z Y, Giai N V, Wandelt A et al. Isosealar Compression Modes in Rela tivistic Random Phase Approximation[J]. Nucl Phys A (to be published). |
[4] | Serot B D, Walecka J D. The Relativistic Nuclear Many-body Problem[M]. Advances in Nucl Phys, Plenum, New York,1986, 16: 1-321. |
[5] | Ma Z Y, Giai N V, Toki H. Compreasibiity of Nuclear Matter and Breathing Mode of Finite Nuclei in a Relativistic Model [J]. Phys Rev, 1997, C55:2 385-2 388; Ma Z Y, Toki H,Giai N V. Giant Resonances in the Relativistic RPA with Nonlinear Interactions[J]. Nucl Phys , 1997, A627: 1-13. |
[6] | Dawson J F, Furnstahl R J. Relativistic Spectral Randomphase Approximation in Finite Nuclei[J]. Phys Rev, 1990,C42:2 009-2 022. |
[7] | Youngblood D H, Clark H L, Lui Y W. Incompressibility of Nuclear Matter from the Giant Monopole Resonance[J]. Phys Rev Lett, 1999, 82: 691-694. |
[8] | Sharma M M, Nagarajan M A, Ring P. Rho Meson Coupling in the Relativistic Mean Field Theory and Description of Exotic Nuclei[J]. Phys Lett, 1993, B312: 377-381. |
[9] | Sugahara Y, Toki H. Relativistic Mean-Field Theory for Unstable Nuclei with Non-linear o and ω Terms [J]. Nucl Phys,1994, A579: 557-572. |
[10] | Lalazissis G A, Koenig J, Ring P. New Parametrization for the Lagrangian Density of Relativistic Mean Field Theory [J]. Phys Rev, 1997, C55: 540-543. |
[11] | Reinhard P G, Rufa M, Maruhn Jet al. Nuclear Ground state Properties in a Relativistic Meson-field Theory[J]. Z Phys, 1986, A323: 13-25. |
[12] | Kurasawa H, Suzuki T. Effects of the Dirac Sea on the Giant Monopole States[J]. Phys Lett, 2000, B474: 262-265. |
- 下载量()
- 访问量()
- 您的评分:
-
10%
-
20%
-
30%
-
40%
-
50%