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

  • 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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  • [1] . Tanihata I.Prog.Part.and Nucl.Phys.,1995,35:5052. Moller A C.Prog.Part.and Nucl.Phys.,2001,46:359 3. MENG J .Nucl.Phys.,1998,A635:34. YANG Si-Chun,MENG Jie.Nucl.Phys.Rev.,1999,16:187(in Chinese)(杨泗春,孟杰.原子核物理评论,1999,16:187)5. CAI Xiang-Zhou,SHEN Wen-Qing.Prog.Phys.,2001,21:373(in Chinese)(蔡翔舟,沈文庆.物理学进展,2001,21:373)6. MENG J ,Ring P .Phys.Rev.Lett.,1996,77:3963 7. MENG J,Ring P .Phys.Rev.Lett.,1998,80:460;MENG J,TokiH ,ZENG J Y et al.Phys.Rev.,2002,C65(4):R0413028. LU H F ,MENG J,ZHANG S Q .HEP NP ,2003,27(5):324(in Chinese)(吕洪凤,孟杰,张双全.高能物理与核物理,2003,27(5):324)9. Azuma R E ,Buchmann L ,Barker F C et al.Phys.Rev.,1994,C50:119410. Feshbach H ,Peaslee D C ,Weisskopf V .Phys.Rev.,1947,71:14511. Wigner E ,Eisenbud L .Phys.Rev.,1974,72:29 12. Hale G M ,Brown R E ,Jarmie N .Phys.Rev.Lett.,1987,59:763 13. Taylor J R .Scattering Theory:The Quantum TheoryonN on relativistic Collisions.New York:John WileySons,1972.24014. Humblet J ,Filippone B W ,Koonin S E .Phys.Rev.,1991,C44:2530 15. Ho Y K .Phys.Rep.,1983,99:116. Kukulin V I,Krasnopl’sky V M ,Hor cek J.Theory of Resonances:Principles and Applications.Dordrecht:Kluwer Academic,1989.21917. Tanaka N ,Suzuk iY ,Varga K .Phys.Rev.,1997,C56:562 18. Tanaka N ,Suzuki Y ,Varga K et al.Phys.Rev.,1999,C59:139119. Cattapan G ,Maglione E .Phys.Rev.,2000,C61:06730120. Aoyama S .Phys.Rev.Lett.,2002,89:05250121. YANG S C ,MENG J,ZHOU S G .Chin.Phys.Lett.,2001,18:19622. ZENG Jin-Yan.Quantum Mechanics.(Third Edition)Beijing:Science Publishing House,2000.77(in Chinese)(曾谨言.量子力学.第三版.北京:科学出版社,2000.77)
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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

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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