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用反射不对称的相对论平均场理论(RAS-RMF)对偶偶Ra同位素的八极形变进行了系统研究,并与实验数据和有限力程小液滴模型(FRDM)结果进行了比较.结果表明：RAS-RMF理论很好地描述了Ra同位素的基态性质,计算的结合能、双中子分离能和形变与实验数据和FRDM一致.RAS-RMF理论获得的中子、质子密度分布清晰地展现出偶偶Ra同位素由球形逐渐转变为八极形变,到四极形变的过程,与实验观察的八极形变不稳定现象一致.
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关键词:
- 反射不对称平均场(RAS-RMF) /
- 八极形变 /
- 偶偶核
The octupole deformation of even-even Raisotopes has been investigated systematically by the reflection asymmetric relativistic mean field (RAS-RMF) theory. The results are compared with the experimental data together with the results from FRDM. It is shown that RAS-RMF theory gives a good description for Ra isotopes. The calculated binding energy, two neutron separation energy and deformation agree with the experimental data well. In particular, RAS-RMF theory provides the neutron and proton densities which show clearly the shape evolution of these nuclei from nearly spherical to well-developed octupole and finally back to quadrupole deformation shapes. This is in accordance with experimental observation.[1] ［1］Asaro F, Stephens F S, Perlman I 1953 Phys. Rev. 92 1495
[2] ［2］Stephens F S, Asaro F, Perlman I 1954 Phys. Rev. 96 1568
[3] ［3］Stephens F S, Asaro F, Perlman I 1955 Phys. Rev. 100 1543
[4] ［4］Rutz K, Maruhn J A, Reinhard P G, Greiner W 1995 Nucl. Phys. A 590 680
[5] ［5］Ahmad I, Bulter P A 1993 Ann. Rev. Nucl. Part. Sci. 43 321
[6] ［6］Butler P A, Nazarewicz W 1996 Rev. Mod. Phys. 68 349
[7] ［7］Cocks J F C, Hawcroft D, Amzal N, Butler P A, Cann K J, Greenlees P T, Jones G D, Asztalos S, Clark R M, Deleplanque M A, Diamond R M, Fallon P, Lee I Y, Macchiavelli A O, MacLeod R W, Stephens F S, Jones P, Julin R, Broda R, 2 Fornal B, Smith J F, Lauritsen T, Bhattacharyya P, Zhang C T 1999 Nucl. Phys. A 645 61
[8] ［8］Chen Y S, Gao Z C 2000 Phys. Rev. C 63 014314
[9] ［9］Dobaczewski J, Engel J 2005 Phys. Rev. Lett. 94 232502
[10] ］Wu Z Y, Xu F R 2006 High Energy Phys. Nucl. Phys. 30 78 (in Chinese) ［吴哲英、许甫荣 2006 高能物理与核物理 30 78］
[11] ］Gao Z C, Chen Y S 2000 High Energy Phys. Nucl. Phys. 24 54 (in Chinese)［高早春、陈永寿 2000 高能物理与核物理 24 54］
[12] ］Geng L S, Meng J, Toki H 2007 Chin. Phys. Lett. 24 1865
[13] ］Long W H, Meng J, Giai N V, Zhou S G 2004 Phys. Rev. C 69 034319
[14] ］Lalazissis G A, Konig J, Ring P 1997 Phys. Rev. C 55 540
[15] ］Sugahara Y 1994 Ph. D. Dissertation （Tokyo：Tokyo Metropolitan University）
[16] ］Sharma M M, Nagarajan M A, Ring P 1985 Phys. Lett. B 312 377
[17] ］Holzer P, Mosel U, Greiner W 1969 Nucl. Phys. A 138 241
[18] ］Maruhn J, Greiner W 1972 Z. Phys. 251 431
[19] ］Mirea M 1996 Phys. Rev. C 54 302
[20] ］Audia G, Wapstrab A H, Thibaulta C 2003 Nucl. Phys. A 729 337
[21] ］Raman S, Nestor W J R 2001 At. Data Nucl. Data Tables 78 1
[22] ］Moller P, Nix J R 1995 At. Data Nucl. Data Tables 59 185
[23] ］Engel J, Bender M, Dobaczewski J, De Jesus J H, Olbratowski P 2003 Phys. Rev. C 68 025501
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[1] ［1］Asaro F, Stephens F S, Perlman I 1953 Phys. Rev. 92 1495
[2] ［2］Stephens F S, Asaro F, Perlman I 1954 Phys. Rev. 96 1568
[3] ［3］Stephens F S, Asaro F, Perlman I 1955 Phys. Rev. 100 1543
[4] ［4］Rutz K, Maruhn J A, Reinhard P G, Greiner W 1995 Nucl. Phys. A 590 680
[5] ［5］Ahmad I, Bulter P A 1993 Ann. Rev. Nucl. Part. Sci. 43 321
[6] ［6］Butler P A, Nazarewicz W 1996 Rev. Mod. Phys. 68 349
[7] ［7］Cocks J F C, Hawcroft D, Amzal N, Butler P A, Cann K J, Greenlees P T, Jones G D, Asztalos S, Clark R M, Deleplanque M A, Diamond R M, Fallon P, Lee I Y, Macchiavelli A O, MacLeod R W, Stephens F S, Jones P, Julin R, Broda R, 2 Fornal B, Smith J F, Lauritsen T, Bhattacharyya P, Zhang C T 1999 Nucl. Phys. A 645 61
[8] ［8］Chen Y S, Gao Z C 2000 Phys. Rev. C 63 014314
[9] ［9］Dobaczewski J, Engel J 2005 Phys. Rev. Lett. 94 232502
[10] ］Wu Z Y, Xu F R 2006 High Energy Phys. Nucl. Phys. 30 78 (in Chinese) ［吴哲英、许甫荣 2006 高能物理与核物理 30 78］
[11] ］Gao Z C, Chen Y S 2000 High Energy Phys. Nucl. Phys. 24 54 (in Chinese)［高早春、陈永寿 2000 高能物理与核物理 24 54］
[12] ］Geng L S, Meng J, Toki H 2007 Chin. Phys. Lett. 24 1865
[13] ］Long W H, Meng J, Giai N V, Zhou S G 2004 Phys. Rev. C 69 034319
[14] ］Lalazissis G A, Konig J, Ring P 1997 Phys. Rev. C 55 540
[15] ］Sugahara Y 1994 Ph. D. Dissertation （Tokyo：Tokyo Metropolitan University）
[16] ］Sharma M M, Nagarajan M A, Ring P 1985 Phys. Lett. B 312 377
[17] ］Holzer P, Mosel U, Greiner W 1969 Nucl. Phys. A 138 241
[18] ］Maruhn J, Greiner W 1972 Z. Phys. 251 431
[19] ］Mirea M 1996 Phys. Rev. C 54 302
[20] ］Audia G, Wapstrab A H, Thibaulta C 2003 Nucl. Phys. A 729 337
[21] ］Raman S, Nestor W J R 2001 At. Data Nucl. Data Tables 78 1
[22] ］Moller P, Nix J R 1995 At. Data Nucl. Data Tables 59 185
[23] ］Engel J, Bender M, Dobaczewski J, De Jesus J H, Olbratowski P 2003 Phys. Rev. C 68 025501
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