First attempt to overcome the disaster of Dirac sea in imaginary time step method

ZHANG Ying; LIANG Hao-Zhao; MENG Jie

doi:10.1088/1674-1137/33/S1/036

Chinese Physics C> 2009, Vol. 33> Issue(S1) : 113-115 DOI: 10.1088/1674-1137/33/S1/036

First attempt to overcome the disaster of Dirac sea in imaginary time step method

Abstract
HTML
Reference
Related

PDF

Abstract：
Efforts have been made to solve the Dirac equation with axially deformed scalar and vector Woods-Saxon potentials in the coordinate space with the imaginary time step method. The results of the single-particle energies thus obtained are consistent with those calculated with the basis expansion method, which demonstrates the feasibility of the imaginary time step method for the relativistic static problems.

References

[1]

. Serot B D, Walecka J D. Adv. Nucl. Phys., 1986, 16: 12. Ring P, Prog. Part. Nucl. Phys., 1996, 37: 1933. Vretenar D, Afanasjev A V, Lalazissis G A, Ring P. Phys.Rep., 2005, 409: 1014. MENG J, Toki H, ZHOU S G, ZHANG S Q, LONG W H,GENG L S. Prog. Part. Nucl. Phys., 2006, 57: 4705. Price C E, Walker G E. Phys. Rev. C, 1987, 36: 3546. ZHOU S G, MENG J, RING P. Phys. Rev. C, 2003, 68:0343237. Davies K T R, Flocard H, Krieger S J, Weiss M S. Nucl.Phys. A, 1980, 342: 1118. Bonche P, Flocard H, Heenen P H, Krieger S J, Weiss MS. Nucl. Phys. A, 1985, 443: 399. Kelemen A. Nucl. Phys. A, 1974,220: 39110. MANG H J, Samadi B, Ring P. Z. Phys. A, 1976, 279: 32511. Ring P, Gambhir Y K, Lalazissis G A. Com. Phys. Com.,1997, 105: 7712. Koepf W, Ring P. Z. Phys. A, 1991, 339: 81

[1]	Peng Yin , Jianmin Dong , Wei Zuo . Effect of tensor correlations on the depletion of nuclear Fermi sea within the extended BHF approach. Chinese Physics C, 2017, 41(11): 114102. doi: 10.1088/1674-1137/41/11/114102
[2]	Gang-Wen Liu , Zheng-He Bai , Qi-Ka Jia , Wei-Min Li , Lin Wang . Improved step-by-step chromaticity compensation method for chromatic sextupole optimization. Chinese Physics C, 2016, 40(5): 057002. doi: 10.1088/1674-1137/40/5/057002
[3]	LI He-Ting , JIA Qi-Ka . Optimization of single-step tapering amplitude and energy detuning for high-gain FELs. Chinese Physics C, 2015, 39(1): 018101. doi: 10.1088/1674-1137/39/1/018101
[4]	XU Xing , WANG Meng , SHUAI Peng , CHEN Rui-Jiu , YAN Xin-Liang , ZHANG Yu-Hu , YUAN You-Jin , XU Hu-Shan , ZHOU Xiao-Hong , Yuri A , Sergey Litvinov , TU Xiao-Lin , CHEN Xiang-Cheng , FU Chao-Yi , GE Wen-Wen , GE Zhuang , HU Xue-Jing , HUANG Wen-Jia , LIU Da-Wei , XING Yuan-Ming , ZENG Qi , ZHANG Wei . A data analysis method for isochronous mass spectrometry usingtwo time-of-flight detectors at CSRe. Chinese Physics C, 2015, 39(10): 106201. doi: 10.1088/1674-1137/39/10/106201
[5]	S. S. Hosseini , S. Zarrinkamar . Dirac oscillator in noncommutative space. Chinese Physics C, 2014, 38(6): 063104. doi: 10.1088/1674-1137/38/6/063104
[6]	H. Hassanabadi , H. Rahimov , S. Zarrinkamar . Arbitrary-state solutions of the Dirac equation for a Möbius square potential using the Nikiforov-Uvarov method. Chinese Physics C, 2013, 37(4): 043105. doi: 10.1088/1674-1137/37/4/043105
[7]	XIE Wen-Xiong , LI Jian-Sheng , GONG Jian , ZHU Jian-Yu , HUANG Po . Experimental study on the measurement of uranium casting enrichment by time-dependent coincidence method. Chinese Physics C, 2013, 37(10): 106202. doi: 10.1088/1674-1137/37/10/106202
[8]	YE Chun-Feng , ZHAO Lei , FENG Chang-Qing , LIU Shu-Bin , AN Qi . A new method of waveform digitization based on time-interleaved A/D conversion. Chinese Physics C, 2013, 37(11): 116102. doi: 10.1088/1674-1137/37/11/116102
[9]	LI Shao-Li , HENG Yue-Kun , ZHAO Tian-Chi , FU Zai-Wei , LIU Shu-Lin , QIAN Sen , LIU Shu-Dong , CHEN Xiao-Hui , JIA Ru , HUANG Guo-Rui , LEI Xiang-Cui . Method for improving the time resolution of TOF system. Chinese Physics C, 2013, 37(1): 016003. doi: 10.1088/1674-1137/37/1/016003
[10]	E. Maghsoodi , S. Zarrinkamar . Approximate solutions of Dirac equation with a ring-shaped Woods-Saxon potential by Nikiforov-Uvarov method. Chinese Physics C, 2013, 37(11): 113104. doi: 10.1088/1674-1137/37/11/113104
[11]	ZHANG Yong-Jun , ZHANG Bin . Proton sea quark flavour asymmetry and Roper resonance. Chinese Physics C, 2012, 36(3): 189-193. doi: 10.1088/1674-1137/36/3/001
[12]	MA Kai , WANG Jian-Hua , YUAN Yi . Wigner function for the Dirac oscillator in spinor space. Chinese Physics C, 2011, 35(1): 11-15. doi: 10.1088/1674-1137/35/1/003
[13]	DUAN Chun-Gui , LIU Na . Influence of quark energy loss on extracting nuclear sea quark distribution from nuclear Drell-Yan experimental data. Chinese Physics C, 2009, 33(6): 411-414. doi: 10.1088/1674-1137/33/6/002
[14]	WANG Zhen-Tian , HUANG Zhi-Feng , ZHANG Li , KANG Ke-Jun , CHEN Zhi-Qiang , ZHU Pei-Ping . Preliminary attempt on maximum likelihood tomosynthesis reconstruction of DEI data. Chinese Physics C, 2009, 33(11): 981-985. doi: 10.1088/1674-1137/33/11/010
[15]	ZHANG Hai-Xia , WU Shi-Shu , YAO Yu-Jie . Relation of Dawson Furnstahl's Empty Sea Ansatz to Dirac's Hole Theory. Chinese Physics C, 2004, 28(12): 1361-1365.
[16]	Qixing Shen , Hong Yu . Spin and Parity Analysis for the Three-Step Two-Body Hadronic Decay Processes of J/ψ. Chinese Physics C, 1992, 16(S1): 41-50.
[17]	WU Dan-Di . Ambiguity of Perturbative Dirac Theory. Chinese Physics C, 1992, 16(2): 183-186.
[18]	LI Yuan-Jie . VACUUM GAP OF DIRAC PARTICLE IN THE STRONG GRAVITY. Chinese Physics C, 1990, 14(3): 236-239.
[19]	LI Yuan-Jie . RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC. Chinese Physics C, 1989, 13(8): 701-705.
[20]	LI Yuan-Jie . VACUUM SOLUTIONS OF DIRAC IN A R-W UNIVERSE. Chinese Physics C, 1988, 12(6): 737-741.

Access

Get Citation

ZHANG Ying, LIANG Hao-Zhao and MENG Jie. First attempt to overcome the disaster of Dirac sea in imaginary time step method[J]. Chinese Physics C, 2009, 33(S1): 113-115. doi: 10.1088/1674-1137/33/S1/036

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2008-10-22
Revised: 1900-01-01

Article Metric

Article Views(2798)
PDF Downloads(633)
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

First attempt to overcome the disaster of Dirac sea in imaginary time step method

Corresponding author: ZHANG Ying,

Received Date: 2008-10-22

Accepted Date: 1900-01-01

Available Online: 2009-01-10

Abstract: Efforts have been made to solve the Dirac equation with axially deformed scalar and vector Woods-Saxon potentials in the coordinate space with the imaginary time step method. The results of the single-particle energies thus obtained are consistent with those calculated with the basis expansion method, which demonstrates the feasibility of the imaginary time step method for the relativistic static problems.

HTML

Reference (1)

First attempt to overcome the disaster of Dirac sea in imaginary time step method

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, [email protected]

Email This Article