Pseudospin symmetry in the relativistic Woods-Saxon

XU Qiang; WANG Ruo-Dong; ZHU Sheng-Jiang

Chinese Physics C> 2006, Vol. 30> Issue(3) : 207-211

Pseudospin symmetry in the relativistic Woods-Saxon

Department of Physics, Tsinghua University, Beijing 100084, China2 School of Physics and Material Science, Anhui University, Hefei 230039, China

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Abstract：
The pseudospin symmetry is systematically investigated by solving the Dirac equation with an (scalar and vector) Woods-Saxon potential. We find that the splittings of pseudospin energy and the lower component of pseudospin doublets are sensitive to the nuclear radius and the nuclear diffusivity, but to the depth of nuclear potential. The splitting of pseudospin energy with larger n or l is more sensitive to the values of the parameters. The energy level crossing is also found for some pseudospin partners with variation of the nuclear mean field. With the increasing of nuclear radius and nuclear diffusibility, the splitting of the lower component of pseudospin doublets diffuses toward the nuclear surface and reaches the largest value on the nuclear surface. The splitting of pseudospin doublets increases with increasing nuclear diffusibility but decreases with increasing nuclear radius and the depth of nuclear potential. Because the variations of the parameters R and V₀are related with the number of nucleon and the characteristics of nuclear surface can be described by the parameter of diffusibility, the conclusions obtained are meaningful for analyzing nuclear properties.

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[1]

. Arima A, Harvey M, Shimizu K. Phys. Lett., 1969, B30:5172. Hecht K T, Adler A. Nucl. Phys., 1969, A137: 1293. Bohr A, Hamamoto I, Mottelson B R. Phys. Scr., 1982, 26:2674. Dudek J, Nazarewicz W, Szymanski Z et al. Phys. Rev.Lett., 1987, 59: 14055. Nazarewicz W, Twin P J, Fallon P et al. Phys. Rev. Lett.,1990, 64: 16546. Stephens F S. Phys. Rev. Lett., 1990, 65: 3017. ZENG J Y, MENG J, WU C S et al. Phys. Rev., 1991,C44: R17458. Bohr A, Hamamoto I, Mottelson B R. Phys. Scr., 1982, 26:2679. Bahri C, Draayer J P, Moszkowski S A. Phys. Rev. Lett.,1992, 68: 213310. Blokhin A L, Beuschel T, Draayer J P et al. Nucl. Phys.,1997, A612: 16311. Castanos O, Moshinsky M, Quesne C. Phys. Letts., 1992,B277: 23812. Blokhin A L, Bahri C, Draayer J P. J. Phys., 1996, A29:203913. Serot B D, Walecka J D. Adv. Nucl. Phys., 1986, 16: 114. Ginocchio J N. Phys. Rev. Lett., 1997, 78: 43615. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1998, C58: R62816. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1999, C59: 15417. Ginocchio J N. Phys. Rev. Lett., 1999, 82: 459918. Sugawara-Tanabe K, Arima A. Phys. Rev., 1998, C58:R306519. Leeb H, Wilmsen S. Phys. Rev., 2000, C62: 02460220. Ginocchio J N, Leviatan A. Phys. Rev. Lett., 2001, 87:07250221. Ginocchio J N. Phys. Rev., 2002, C66: 06431222. Leviatanand A, Ginocchio J N. Phys. Lett., 2001, B518:21423. Alberto P, Fiolhais M, Malheiro M et al. Phys. Rev. Lett.,2001, 86: 501524. Lalazissis G A, Gambir Y K, Maharana J P et al. Phys.Rev., 1998, C58: R4525. Marcos S, Lo'pez-Quelle M, Niembro R et al. Phys. Lett.,2001, B513: 3026. Blokhin A L, Bahri C, Draayer J P. Phys. Rev Lett., 1995,74: 414927. Arima A. Report No, RIKEN-AF-NP-276

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XU Qiang, WANG Ruo-Dong and ZHU Sheng-Jiang. Pseudospin symmetry in the relativistic Woods-Saxon[J]. Chinese Physics C, 2006, 30(3): 207-211.

XU Qiang, WANG Ruo-Dong and ZHU Sheng-Jiang. Pseudospin symmetry in the relativistic Woods-Saxon[J]. Chinese Physics C, 2006, 30(3): 207-211. shu

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Received: 2005-07-05
Revised: 2005-10-09

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Pseudospin symmetry in the relativistic Woods-Saxon

Corresponding author: XU Qiang,

Department of Physics, Tsinghua University, Beijing 100084, China2 School of Physics and Material Science, Anhui University, Hefei 230039, China

Received Date: 2005-07-05

Accepted Date: 2005-10-09

Available Online: 2006-03-05

Abstract: The pseudospin symmetry is systematically investigated by solving the Dirac equation with an (scalar and vector) Woods-Saxon potential. We find that the splittings of pseudospin energy and the lower component of pseudospin doublets are sensitive to the nuclear radius and the nuclear diffusivity, but to the depth of nuclear potential. The splitting of pseudospin energy with larger n or l is more sensitive to the values of the parameters. The energy level crossing is also found for some pseudospin partners with variation of the nuclear mean field. With the increasing of nuclear radius and nuclear diffusibility, the splitting of the lower component of pseudospin doublets diffuses toward the nuclear surface and reaches the largest value on the nuclear surface. The splitting of pseudospin doublets increases with increasing nuclear diffusibility but decreases with increasing nuclear radius and the depth of nuclear potential. Because the variations of the parameters R and V₀are related with the number of nucleon and the characteristics of nuclear surface can be described by the parameter of diffusibility, the conclusions obtained are meaningful for analyzing nuclear properties.

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Pseudospin symmetry in the relativistic Woods-Saxon

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