Study of the Superdeformed State of <SUP>196</SUP>Pb in the Relativistic Mean Field Theory

SHENG Zong-Qiang; SHAO Ji-Hong; GUO Jian-You

Chinese Physics C> 2006, Vol. 30> Issue(6) : 481-484

Study of the Superdeformed State of ¹⁹⁶Pb in the Relativistic Mean Field Theory

Department of Mathematics & Physics, Anhui University of Science and Technology, Huainan 232001, China2 School of Physics & Material, Anhui University, Hefei 230039, China

Abstract
HTML
Reference
Related

PDF

Abstract：
Based on the constrained relativistic mean field (RMF) theory, the superdeformed states of ¹⁹⁶Pb are systematically investigated with four different interactions, TMA, PK1, NL3 and NL-SH. The potential surface, the quadruple deformation of ground and superdeformed states, and the excitation energies of superdeformed states are calculated. The results show that the shape of ¹⁹⁶Pb is oblate for the ground state with deformation β₂≈－0.15, and prolate for the superdeformed states with deformation β₂≈0.60. The calculated excitation energy and the depth of the potential well of the superdeformed state are approximately equal to 4.5MeV and 1.6MeV, respectively. These results are in good agreement with the current experimental data. It indicates that RMF theory can well describe the energy of the band head of superdeformed rotational band in ¹⁹⁶Pb.

References

[1]

. Khoo T L et al. Phys. Rev. Lett., 1996, 76: 1583—15862. Hackman G et al. Phys. Rev. Lett., 1997, 79: 4100—41033. Wilson A N et al. Phys. Rev. Lett., 2003, 90: 1425014. Lopez-Martens A et al. Phys. Lett., 1996, B380: 18—235. Hauschild K et al. Phys. Rev., 1997, C55: 2819—28256. Johnson M S et al. Phys. Rev., 2005, C71: 0443107. Siem S et al. Phys. Rev., 2004, C70: 0143038. Lauritsen T et al. Phys. Rev., 2000, C62: 0443169. Lalazissis G A, Ring P. Phys. Lett., 1998, B427: 225—23010. Serot B D, Walecka J D. Adv. Nucl. Phys., 1986, 16: 111. Ring P. Prog. Part. Nucl. Phys., 1996, 37: 193—25312. MENG J. Nucl. Phys., 1998, A635: 3—4213. Brockmann R, Machleidt R. Phys. Rev., 1990, C42:1965—198014. K#228;onig J, Ring P. Phys. Rev. Lett., 1993, 71: 3079—308215. MENG J, Ring P. Phys. Rev. Lett., 1996, 77: 3963—396616. MENG J, Ring P. Phys. Rev. Lett., 1998, 80: 460—46317. Arima A, Harvey M, Shimizu K. Phys. Lett., 1969, B30:517—52218. Hecht K T, Adler A. Nucl. Phys., 1969, A137: 129—14319. Ginocchio J N. Phys. Rev. Lett., 1997, 78: 436—43920. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1998, C58: R628—63121. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1999, C59: 154—16322. GUO J Y, SHENG Z Q. Phys. Lett., 2005, A338: 90—9623. GUO J Y, FANG X Z, XU F X. Nucl. Phys., 2005, A757:411—42124. GUO J Y,WANG R D, FANG X Z. Phys. Rev., 2005, C72:05431925. ZHOU S G, MENG J, Ring P. Phys. Rev. Lett., 2003, 91:26250126. Madokoro H, MENG J, Matsuzaki M et al. Phys. Rev.,2000, C62: 06130127. MA Z Y, Wandelt A, Giai N V et al. Nucl. Phys., 2002,A703: 222—23928. MENG J, Toki H, ZHOU S G et al. Prog. Part. Nucl. Phys.,2005, in press29. Wilson A N et al. Phys. Rev. Lett., 2005, 95: 18250130. Gambhir Y, Ring P, Thimet A. Ann. Phys. (N.Y.), 1990,198: 132—17931. ZHOU S G, MENG J, Ring P. Phys. Rev., 2003, C68:03432332. Ring P, Schuck P. The Nuclear Many Body Problem.Springer, 198033. Sugahara Y. PhD Thesis, Tokyo Metropolitan University,199434. LONG W H, MENG J, Giai N V et al. Phys. Rev., 2004,C69: 03431935. Lalazissis G A, K#246;nig J, Ring P. Phys. Rev., 1997, C55:540—54336. Sharma M, Nagarajan M, Ring P. Phys. Lett., 1993, B312:377—38137. Audi G, Wapstra A H. Nucl. Phys., 1995, A595: 409—480

[1]	ZHANG Zheng-Jun , HAN Yin-Lu , SHEN Qing-Biao , CAI Chong-Hai . Studies on Energy Spectra of Outgoing Particles in (p,Pb),(p,Bi),(p,Hg) Reactions in Energy Range up to 250MeV. Chinese Physics C, 2007, 31(5): 464-469.
[2]	SHENG Zong-Qiang , GUO Jian-You , MENG Ying . Systematic Analysis of E(5) Critical-Point Nuclei in A～130 Region with Relativistic Mean Field Theory. Chinese Physics C, 2007, 31(6): 558-563.
[3]	LU Hong-Feng , MENG Jie . Effects of Tensor Coupling on Spin-Orbit Splittings in the Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(5): 412-416.
[4]	SUN Bao-Yuan , MENG Jie . New Relativistic Mean Field Interactions for Light Nuclei. Chinese Physics C, 2006, 30(S2): 68-70.
[5]	WANG Shi-Hu , GUO Jian-You . Relativistic Mean Field Study of Clustering in Heavy Nuclei. Chinese Physics C, 2006, 30(S2): 87-89.
[6]	MEI Hua , CHEN Hong , YAO Jiang-Ming , MENG Jie . Mirror Nuclei ¹²N and ¹²B in Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(S2): 53-55.
[7]	YAO Jiang-Ming , MEI Hua , MENG Jie , CHEN Hong . Magnetic Moment in Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(S2): 42-44.
[8]	ZHANG Hong-Fei , ZUO Wei , LI Jun-Qing , Soojae IM , MA Zhong-Yu , CHEN Bao-Qiu . Pb Isotope Shifts in the Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(8): 745-749.
[9]	LI Jun , BAN Shu-Fang , JIA Huan-Yu , SANG Jian-Ping , MENG Jie . Description of the Nuclear Matter and Neutron Star in Relativistic Mean Field Theory with Density-Dependent Interactions. Chinese Physics C, 2004, 28(2): 140-147.
[10]	ZHANG Wei , MENG Jie , ZHANG Shuang-Quan . Production Cross Section of Superheavy Nuclei in Cold Fusion Reactions Based on the Relativistic Mean Field Theory. Chinese Physics C, 2004, 28(1): 61-68.
[11]	NING Ping-Zhi , TAN Yu-Hong LI Lei , LUO Yan-An , . Relativistic Mean Field Theory for Hypernuclei. Chinese Physics C, 2004, 28(12): 1336-1342.
[12]	BAN Shu-Fang , MENG Jie . Nuclear Symmetry Energy for A=48 Isobars in Relativistic Mean Field Theory. Chinese Physics C, 2004, 28(S1): 66-68.
[13]	LONG Wen-Hui , MENG Jie , ZHOU Shan-Gui . Description of the New Nuclide ²⁵⁹Db and Its α-Decay Chain in Relativistic Mean Field Theory. Chinese Physics C, 2002, 26(8): 823-830.
[14]	LV Hong-Feng , LONG Wen-Hui , MENG Jie , ZHOU Shan-Gui . Effective Hyperon-Nucleon Interactions in the Relativistic Mean Field Theory. Chinese Physics C, 2002, 26(9): 933-940.
[15]	SUN Bao-Xi , JIA Huan-Yu , MENG Jie , ZHAO En-Guang . Neutron Star in Relativistic Mean-field Approximation. Chinese Physics C, 2000, 24(S1): 69-72.
[16]	CHEN XueShi , ZHANG XiaoDong , SHEN ShuiFa , SHI ShuangHui , GU JiaHui . Study on Deformation and Shape Coexistence for ¹⁸⁸Pb. Chinese Physics C, 2000, 24(4): 364-368.
[17]	Liu Fang , Li Xiguo , Li Junqing , Luo Yixiao . Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (I) The Formalism of the Propagation of Coherent States in Potential. Chinese Physics C, 1999, 23(11): 1108-1114.
[18]	Shen Yaosong , Ren Zhongzhou . Relativistic Mean-Field Calculation for Hypernuclei. Chinese Physics C, 1997, 21(9): 831-837.
[19]	Zhu Zhiyuan . Identical Bands in Superdeformed Nuclei With the Cranked Relativistic Mean Field Method. Chinese Physics C, 1996, 20(5): 448-454.
[20]	LEI Yi-An , ZENG Jin-Yan . Accurate Calculation of Superdeformed Bands in Hg and Pb. Chinese Physics C, 1993, 17(7): 636-643.

Access

Get Citation

SHENG Zong-Qiang, SHAO Ji-Hong and GUO Jian-You. Study of the Superdeformed State of ¹⁹⁶Pb in the Relativistic Mean Field Theory[J]. Chinese Physics C, 2006, 30(6): 481-484.

SHENG Zong-Qiang, SHAO Ji-Hong and GUO Jian-You. Study of the Superdeformed State of ¹⁹⁶Pb in the Relativistic Mean Field Theory[J]. Chinese Physics C, 2006, 30(6): 481-484. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2005-12-15
Revised: 2006-01-22

Article Metric

Article Views(3443)
PDF Downloads(751)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Study of the Superdeformed State of ¹⁹⁶Pb in the Relativistic Mean Field Theory

Corresponding author: SHENG Zong-Qiang,

Department of Mathematics & Physics, Anhui University of Science and Technology, Huainan 232001, China2 School of Physics & Material, Anhui University, Hefei 230039, China

Received Date: 2005-12-15

Accepted Date: 2006-01-22

Available Online: 2006-06-05

Abstract: Based on the constrained relativistic mean field (RMF) theory, the superdeformed states of ¹⁹⁶Pb are systematically investigated with four different interactions, TMA, PK1, NL3 and NL-SH. The potential surface, the quadruple deformation of ground and superdeformed states, and the excitation energies of superdeformed states are calculated. The results show that the shape of ¹⁹⁶Pb is oblate for the ground state with deformation β₂≈－0.15, and prolate for the superdeformed states with deformation β₂≈0.60. The calculated excitation energy and the depth of the potential well of the superdeformed state are approximately equal to 4.5MeV and 1.6MeV, respectively. These results are in good agreement with the current experimental data. It indicates that RMF theory can well describe the energy of the band head of superdeformed rotational band in ¹⁹⁶Pb.

HTML

Reference (1)

Study of the Superdeformed State of ¹⁹⁶Pb in the Relativistic Mean Field Theory

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, [email protected]

Email This Article

Study of the Superdeformed State of ¹⁹⁶Pb in the Relativistic Mean Field Theory

Corresponding author: SHENG Zong-Qiang,

HTML

目录

Study of the Superdeformed State of 196Pb in the Relativistic Mean Field Theory

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, [email protected]

Email This Article

Study of the Superdeformed State of 196Pb in the Relativistic Mean Field Theory

Corresponding author: SHENG Zong-Qiang,

HTML

目录

Study of the Superdeformed State of ¹⁹⁶Pb in the Relativistic Mean Field Theory

Study of the Superdeformed State of ¹⁹⁶Pb in the Relativistic Mean Field Theory