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Chinese Physics C> 2003, Vol. 27> Issue(12) : 1095-1099 

Method of the Analytical Continuation of the Coupling Constant in Schrodinger Equations

  •  School of Physics,Peking University,Beijing 100871,China2 Institute of Theoretical Physics,CAS,Beijing 100080,China3 Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator,Lanzhou 730000,China4 Department of Physics,Anhui University,Hefei 230039,China

  • Based on Schrdinger equation, the method of analytical continuation in the coupling constant (ACCC) is employed to investigate the energy and width of single-particle resonance in spherically symmetric square well, harmonic oscillator potential and Woods-Saxon potential. The influences of the interval for the coupling constant values and the order of Pade polynomial are analyzed. It has been shown that, by properly chosen interval for the coupling constant values and the order of Pad polynomial, stable and convergent energy and width of single-particle resonance can be obtained.
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ZHANG Shi-Sheng, MENG Jie and GUO Jian-You. Method of the Analytical Continuation of the Coupling Constant in Schrodinger Equations[J]. Chinese Physics C, 2003, 27(12): 1095-1099.
ZHANG Shi-Sheng, MENG Jie and GUO Jian-You. Method of the Analytical Continuation of the Coupling Constant in Schrodinger Equations[J]. Chinese Physics C, 2003, 27(12): 1095-1099. shu
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Received: 2003-05-20
Revised: 1900-01-01
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Method of the Analytical Continuation of the Coupling Constant in Schrodinger Equations

    Corresponding author: MENG Jie,
  • School of Physics,Peking University,Beijing 100871,China2 Institute of Theoretical Physics,CAS,Beijing 100080,China3 Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator,Lanzhou 730000,China4 Department of Physics,Anhui University,Hefei 230039,China
  • Received Date: 2003-05-20
  • Accepted Date: 1900-01-01
  • Available Online: 2003-12-05

Abstract: Based on Schrdinger equation, the method of analytical continuation in the coupling constant (ACCC) is employed to investigate the energy and width of single-particle resonance in spherically symmetric square well, harmonic oscillator potential and Woods-Saxon potential. The influences of the interval for the coupling constant values and the order of Pade polynomial are analyzed. It has been shown that, by properly chosen interval for the coupling constant values and the order of Pad polynomial, stable and convergent energy and width of single-particle resonance can be obtained.

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