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

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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

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. 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

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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

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Received: 2008-10-22
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

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.