Production Cross Section of Superheavy Nuclei in Cold Fusion Reactions Based on the Relativistic Mean Field Theory

ZHANG Wei; MENG Jie; ZHANG Shuang-Quan

Chinese Physics C> 2004, Vol. 28> Issue(1) : 61-68

Production Cross Section of Superheavy Nuclei in Cold Fusion Reactions Based on the Relativistic Mean Field Theory

School of Physics,Peking University,Beijing 100871,China2 Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator,Lanzhou 730000,China3 Institute of Theoretical Physics,Chinese Academy of Sciences,Beijing 100080,China4 Key Laboratory of Heavy Ion Physics,Ministry of Education,Beijing 100871,China

Abstract
HTML
Reference
Related

PDF

Abstract：
Based on the constrained relativistic mean field (RMF) theory,the potential surfaces of superheavy nuclei from Z=102 to Z=118 are calculated, and the properties of these nuclei are extracted, including binding energy and quadruple deformation of the equilibrium and saddle point, neutron separation energy and the height of the static fission barrier, etc. With the single particle levels obtained from the constrained RMF theory, the shell correction energy, the pairing correction energy and the microscopic energy are obtained by means of Strutinsky shell correction and BCS pairing correction approaches. Production cross sections of superheavy nuclei in cold fusion reactions are estimated by a simple phenomenological model with the above structure information. Using the properties of the compound nucleus and evaporation residue provided by the constrained RMF with TM1 parameters, satisfactory agreement has been obtained with the avaliable experimental production cross sections in cold fusion reactions. The prediction for the production cross section of the nucleus ²⁹³118 is two order smaller than the earlier prediction and much more close to the experimental observation. Similar conclusion can also be drawn for ²⁹³116.

References

[1]

.Nilsson S G et al.Nucl.Phys.,1968,A115:5452.Nilsson S G et al.Nucl.Phys.,1969,A131:13.C`wiok S et al.Nucl.Phys.,1996,A611:2114.WU C L,Guidry M,FENG D H.Phys.Lett.,1996,B387:4495.Lalazissis G A et al.Nucl.Phys.,1996,A608:2026.Rutz K,et al.Phys.Rev.,1997,C56( 1):2387.Bender M et al.Phys.Rev.,1998,C58( 4):21268.MENG J,Takigawa N.Phys.Rev.,2000,C61:0643199.LONG W H,MENG J,ZHOU S G.Phys.Rev.,2002,C65:04730610.MENG J.Nucl.Phys.,1998,A635:3;MENG J,Ring P.Phys.Rev.Lett.,1996,77:3963;MENG J,Ring P.Phys.Rev.Lett.,1998,80:46011.M..nzenberg G et al.Z.Phys.,1981,A300:10712.M..nzenberg G et al.Z.Phys.,1982,A309:8913.M..nzenberg G et al.Z.Phys.,1984,A317:23514.Hofmann S et al.Z.Phys.,1995,A350:27715.Hofmann S et al.Z.Phys.,1995,A350:28116.Hofmann S et al.Z.Phys.,1996,A354:22917.Ghiorso A et al.Phys.Rev.,1995,C51( 5):R229318.Lazarev Yu A et al.Phys.Rev.Lett.,1994,73:62419.Lazarev Yu A et al.Phys.Rev.Lett.,1995,75:190320.Lazarev Yu A et al.Phys.Rev.,1996,C54( 2):62021.Oganessian Yu Ts et al.Phys.Rev.Lett.,1999,83( 16):315422.Oganessian Yu Ts et al.Phys.Rev.,2000,C62:041604( R)23.Oganessian Yu Ts et al.Phys.Rev.,2000,C63:011301( R)24.GAN Z G,QIN Z,FAN H M et al.Eur.Phys.J.,2001,A10:2125.Hofmann S.Progress in Particle and Nuclear Physics,2001,46:29326.Hofmann S.Rep.Prog.Phys.,1998,61:63927.Adamian G G et al.Nucl.Phys.,1998,A633:40928.Bloki J P,Feldmeier H,Swiat ecki W J.Nucl.Phys.,1986,A459:14529.Smola..czuk R.Phys.Rev.,1999,C59:263430.Hofmann S,M..nzenberg G.Rev.Mod.Phys.,2000,72( 3):73331.Gambhir Y K,Ring P,Thimet A.Ann.Phys.,1990,198:13232.Ring P,Schuck P.The Nuclear Many..body Problem.New York:Spri..nger..Verlag,1980,26933.Bender M.Phys.Rev.,2000,C61:031302(R)34.St rutinsky V M.Nucl.Phys.,1968,A122:1

[1]	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.
[2]	FENG Zhao-Qing , JIN Gen-Ming , FU Fen , LI Jun-Qing . Isotopic Dependence of Production Cross Sections of Superheavy Nuclei in Hot Fusion Reactions. Chinese Physics C, 2007, 31(4): 366-370.
[3]	DING Bin-Gang , LU Ding-Hui . Systematid study on the Even-Even nuclei and odd-A nuclei calculating error with Relativistic Mean-Field Theory. Chinese Physics C, 2006, 30(1): 38-43.
[4]	LIU Zu-Hua , BAO Jing-Dong . Entrance Channel Dependence of Production Cross Sections of Superheavy Nucleus ²⁶⁶Hs. Chinese Physics C, 2006, 30(12): 1175-1179.
[5]	SHENG Zong-Qiang , SHAO Ji-Hong , GUO Jian-You . Study of the Superdeformed State of ¹⁹⁶Pb in the Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(6): 481-484.
[6]	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.
[7]	WANG Shi-Hu , GUO Jian-You . Relativistic Mean Field Study of Clustering in Heavy Nuclei. Chinese Physics C, 2006, 30(S2): 87-89.
[8]	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.
[9]	YAO Jiang-Ming , MEI Hua , MENG Jie , CHEN Hong . Magnetic Moment in Relativistic Mean Field Theory. Chinese Physics C, 2006, 30(S2): 42-44.
[10]	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.
[11]	HAN Yin-Lu . Theoretical Analysis of Cross Sections for n+⁵²Cr Reaction. Chinese Physics C, 2004, 28(5): 512-515.
[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]	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.
[14]	CHEN Ding-Han , TAI Fei , REN Zhong-Zhou . Systematic Calculation on the Ground State Properties of Odd-Even Superheavy Nuclei with Relativistic Mean-Field Theory. Chinese Physics C, 2003, 27(8): 707-711.
[15]	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.
[16]	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.
[17]	Shen Yaosong , Ren Zhongzhou . Relativistic Mean-Field Calculation for Hypernuclei. Chinese Physics C, 1997, 21(9): 831-837.
[18]	Zhou Hongbo , Li Zhuxia , Zhuo Yizhong . Studying the influences of Mean Field and NN Cross Section on the Collective Flow at High and Intermediate Energy in the Relativistic VUU Approach. Chinese Physics C, 1995, 19(2): 156-164.
[19]	Chen Baoqiu , Ma Zhongyu . Description of the Properties of nuclei far from βstability line in relativistic Hartree approach. Chinese Physics C, 1994, 18(4): 371-378.
[20]	WANG Yong-Chang , YANG Jing-Kang , YUAN Jun-Qian , KONG Xiang-Zhong . Cross Section Measurements for (n,d*)(n,t) and (n,n'α) Reactions. Chinese Physics C, 1993, 17(4): 289-293.

Access

Get Citation

ZHANG Wei, MENG Jie and ZHANG Shuang-Quan. Production Cross Section of Superheavy Nuclei in Cold Fusion Reactions Based on the Relativistic Mean Field Theory[J]. Chinese Physics C, 2004, 28(1): 61-68.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-05-23
Revised: 1900-01-01

Article Metric

Article Views(3775)
PDF Downloads(672)
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, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Production Cross Section of Superheavy Nuclei in Cold Fusion Reactions Based on the Relativistic Mean Field Theory

Corresponding author: MENG Jie,

School of Physics,Peking University,Beijing 100871,China2 Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator,Lanzhou 730000,China3 Institute of Theoretical Physics,Chinese Academy of Sciences,Beijing 100080,China4 Key Laboratory of Heavy Ion Physics,Ministry of Education,Beijing 100871,China

Received Date: 2003-05-23

Accepted Date: 1900-01-01

Available Online: 2004-01-05

Abstract: Based on the constrained relativistic mean field (RMF) theory,the potential surfaces of superheavy nuclei from Z=102 to Z=118 are calculated, and the properties of these nuclei are extracted, including binding energy and quadruple deformation of the equilibrium and saddle point, neutron separation energy and the height of the static fission barrier, etc. With the single particle levels obtained from the constrained RMF theory, the shell correction energy, the pairing correction energy and the microscopic energy are obtained by means of Strutinsky shell correction and BCS pairing correction approaches. Production cross sections of superheavy nuclei in cold fusion reactions are estimated by a simple phenomenological model with the above structure information. Using the properties of the compound nucleus and evaporation residue provided by the constrained RMF with TM1 parameters, satisfactory agreement has been obtained with the avaliable experimental production cross sections in cold fusion reactions. The prediction for the production cross section of the nucleus ²⁹³118 is two order smaller than the earlier prediction and much more close to the experimental observation. Similar conclusion can also be drawn for ²⁹³116.

HTML

Reference (1)

Production Cross Section of Superheavy Nuclei in Cold Fusion Reactions Based on the Relativistic Mean Field Theory

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article