Does Pseudo-Spin Symmetry Exist in the Continuum?

ZHANG Shi-Sheng; ZHANG Wei; SUN Bao-Hua; GUO Jian-You; ZHOU Shan-Gui

Chinese Physics C> 2006, Vol. 30> Issue(S2) : 97-99

Does Pseudo-Spin Symmetry Exist in the Continuum?

School of Science and school of Advanced Engineering, Beihang University, Beijing 100083, China2 School of Electrical Engineering and Automation, Henan Polytechnic University, Henan 454000, China3 School of Physics, Peking University, Beijing 100871, China4 School of Physics and Material Science, Anhui University, Hefei 230039, China5 Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China6 Center for Theoretical Nuclear Physics, National Laboratory for Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China

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Abstract：
With the relativistic boundary condition, single proton resonant states in spherical nuclei are studied by an analytic continuation in the coupling constant (ACCC) method within the framework of the self-consistent relativistic mean field (RMF) theory. In this scheme, the energies, widths and the wave functions for proton resonant states in ¹²⁰Sn are analyzed to discuss the probability of the existence of pseudospin symmetry in the resonant states, which is consistent with that in the bound states, where the splittings of energies and widths, as well as the behavior of the wave function between pseudospin doublets are found in correlation with the quantum numbers of single particle states.

References

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. Hecht K T, Adler A. Nucl. Phys., 1969, A137: 1292. Arima A, Harvey M, Shimizu K. Phys. Lett., 1969, B30:5173. Blokhin A L, Bahri C, Draayer J P. Phys. Rev. Lett., 1995,74: 41494. Bahri C, Draayer J P, Moszkowski S A. Phys. Rev. Lett.,1992, 68: 21335. MENG J, Ring P. Phys. Rev. Lett., 1996, 77: 3963; Phys.Rev. Lett., 1998, 80: 4606. CAO L G, MA Z Y. Phys. Rev., 2002, C66: 0243117. ZHANG S S, MENG J, ZHOU S G et al. Phys. Rev., 2004,C70: 0343088. Greiner W. Relativistic Quantum Mechanics - Wave Equa-tion (Springt-Verlag, 1997)9. Ginocchio J N, Leviatan A. Phys. Rev. Lett., 2001, 87:072502

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ZHANG Shi-Sheng, ZHANG Wei, SUN Bao-Hua, GUO Jian-You and ZHOU Shan-Gui. Does Pseudo-Spin Symmetry Exist in the Continuum?[J]. Chinese Physics C, 2006, 30(S2): 97-99.

ZHANG Shi-Sheng, ZHANG Wei, SUN Bao-Hua, GUO Jian-You and ZHOU Shan-Gui. Does Pseudo-Spin Symmetry Exist in the Continuum?[J]. Chinese Physics C, 2006, 30(S2): 97-99. shu

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Received: 2006-10-16
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Does Pseudo-Spin Symmetry Exist in the Continuum?

Corresponding author: ZHANG Shi-Sheng,

School of Science and school of Advanced Engineering, Beihang University, Beijing 100083, China2 School of Electrical Engineering and Automation, Henan Polytechnic University, Henan 454000, China3 School of Physics, Peking University, Beijing 100871, China4 School of Physics and Material Science, Anhui University, Hefei 230039, China5 Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080, China6 Center for Theoretical Nuclear Physics, National Laboratory for Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China

Received Date: 2006-10-16
Accepted Date: 1900-01-01
Available Online: 2006-01-03

Abstract: With the relativistic boundary condition, single proton resonant states in spherical nuclei are studied by an analytic continuation in the coupling constant (ACCC) method within the framework of the self-consistent relativistic mean field (RMF) theory. In this scheme, the energies, widths and the wave functions for proton resonant states in ¹²⁰Sn are analyzed to discuss the probability of the existence of pseudospin symmetry in the resonant states, which is consistent with that in the bound states, where the splittings of energies and widths, as well as the behavior of the wave function between pseudospin doublets are found in correlation with the quantum numbers of single particle states.