Pb Isotope Shifts in the Relativistic Mean Field Theory

ZHANG Hong-Fei; ZUO Wei; LI Jun-Qing; Soojae IM; MA Zhong-Yu; CHEN Bao-Qiu

Chinese Physics C> 2006, Vol. 30> Issue(8) : 745-749

Pb Isotope Shifts in the Relativistic Mean Field Theory

Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China2 Graduate University of Chinese Academy of Sciences, Beijing 100049, China3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China4 China Institute of Atomic Energy, Beijing 102413, China

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The ground state properties of the Pb isotopic are studied by using the axially deformed relativistic mean field (RMF) calculation with the parameter set TM1. The pairing correlation is treated by the BCS method and the isospin dependent pairing force is used. The ‘blocking’method is used to deal with unpaired nucleons. The theoretical results show that the relativistic mean field theory with non-linear self-interactions of mesons provides a good description of the binding energy and neutron separation energy. The present paper focus on the physical mechanism of the Pb isotope shifts.

References

[1]

. Tajima N, Bonche P, Flocard P H et al. Nucl. Phys., 1993,A551: 4342. Sharme M M, Lalazissis G A, Ring P. Phys. Lett., 1993,B317: 93. Reinhard P G, Flocard H. Nucl. Phys., 1995, A584: 4674. Lalazissis G A, Sharme M M, Ring P. Nucl. Phys., 1996,A597: 355. Fayans S A, Tolokonnikov S V, Trykov E L et al. Nucl.Phys., 2000, A676: 496. Shouichi Sakakihara, Yasutoshi Tanaka. Nucl. Phys., 2003,A726: 37; Nucl. Phys., 2001, A691: 6497. Serot B D, Walecka J D. Adv. Nucl. Phys., 1986, 16: 18. Gambhir Y K, Ring P, Thimet A. Ann. Phys., 1990, 198:1329. Sugahara Y, Toki H. Nucl. Phys., 1994, A579 : 55710. LI Jun-Qing, MA Zhong-Yu, CHEN Bao-Qiu et al. Phys.Rev., 2002, C65: 06430511. MENG J, Takiga N. Phys. Rev.,2000, C61: 06431912. REN Zhong-Zhou. Phys. Rev., 2002, C66: 06430613. MENG J, Ring P. Phys. Rev. Lett., 1998, 80: 46014. REN Zhong-Zhou. HEP NP, 2002, 26(10): 1046(in Chi-nese)(任中洲.高能物理与核物理,2002,26(10):1046)15. CHEN Bao-Qiu, MA Zhong-Yu. HEP NP, 2001, 25: 309(in Chi-nese)(陈宝秋,马中玉.高能物理与核物理,2001,25:309)16. ZHOU Yong, MA Zhong-Yu, CHEN Bao-Qiu et al. ChinesePhys. Lett., 2000, 17: 18517. ZHOU Yong, LI Jun-Qing, MA Zhong-Yu et al. HEP NP, 2000, 24: 65(in Chi-nese)(周勇,李君清,马中玉等.高能物理与核物理,2000,24:65)18. ZHANG Hong-Fei, LI Jun-Qing, ZUO Wei et al. Phys.Rev., 2005, C71: 05431219. Ring P, Schuck P. The Nuclear Many-Body Problem,Springer, 1980, 22920. ZHANG Hong-Fei, ZUO Wei, Soojae Im et al. The Commun. Theor. Phys., 2004, 42: 87121. Audi G, Wapstra A H. Nucl. Phys., 1993, A565: 122. Moeller P, Nix J R, Kratz K L. At. Data Nucl. Data Tables,1995, 59: 185; 1997, 66: 13123. LONGWH, MENG J, Nguyen V G et al. Phys. Rev., 2004,C69: 03431924. Otten E W. Nuclear Radii and Moments of Unstable Nuclei. Ed Bromley D A In: Treaties on Heavy-Ion Science(Vol. 7). Plenum, N.Y. 1988. 51525. Dobaczewski J, Nazarewicz. Phys. Rev. Lett., 1994, 73:1869

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ZHANG Hong-Fei, ZUO Wei, LI Jun-Qing, Soojae IM, MA Zhong-Yu and CHEN Bao-Qiu. Pb Isotope Shifts in the Relativistic Mean Field Theory[J]. Chinese Physics C, 2006, 30(8): 745-749.

ZHANG Hong-Fei, ZUO Wei, LI Jun-Qing, Soojae IM, MA Zhong-Yu and CHEN Bao-Qiu. Pb Isotope Shifts in the Relativistic Mean Field Theory[J]. Chinese Physics C, 2006, 30(8): 745-749. shu

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Received: 2005-10-31
Revised: 2005-12-24

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通讯作者: 陈斌, [email protected]

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沈阳化工大学材料科学与工程学院沈阳 110142

Pb Isotope Shifts in the Relativistic Mean Field Theory

Corresponding author: ZHANG Hong-Fei,

Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China2 Graduate University of Chinese Academy of Sciences, Beijing 100049, China3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China4 China Institute of Atomic Energy, Beijing 102413, China

Received Date: 2005-10-31

Accepted Date: 2005-12-24

Available Online: 2006-08-05

Abstract: The ground state properties of the Pb isotopic are studied by using the axially deformed relativistic mean field (RMF) calculation with the parameter set TM1. The pairing correlation is treated by the BCS method and the isospin dependent pairing force is used. The ‘blocking’method is used to deal with unpaired nucleons. The theoretical results show that the relativistic mean field theory with non-linear self-interactions of mesons provides a good description of the binding energy and neutron separation energy. The present paper focus on the physical mechanism of the Pb isotope shifts.

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Pb Isotope Shifts in the Relativistic Mean Field Theory

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