THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL

  • In order to study the structure of the bound states of the p-p system, a Schrodinger equation of a complex square well with finite depth is solved exactly. We have calculated the variation of the widths Γ of the energy levels with the depth ξ and the range a1 of the virtual part of the potential and compared them with the perturbation results. We come to the conclusion that (ⅰ) the narrow widths of the bound states are obtained; (ⅱ) the perturbation method can not be used to calculate the widths of the levels for a complex square well when the depth of the virtual part of the potential is much larger than the real part; (ⅲ) to describe annihilation of p-p system by means of the absorption potential not only depends on ξ, the depth of the virtual part of the potential, but also on the range a1.
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  • [1] K. Bilian and B. Pietrsyk,第七次高能物理与核结构会议集.[2] L. Montanet,第五次实验介子谱会议集.[3] C, B. Dover and M. Gloldhaper, Phys. Rev., D15 (1977), 1997.[4] I. S. Shapiro, Phys. Repo., 35C(1978), 131,[5] R. A. Btyan and R. J. N. Phillips, Nucl. Phys., B5 (1968), 201.
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WU HUI-FANG, Yu YOU-WEN and ZHANG ZONG-YIE. THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL[J]. Chinese Physics C, 1981, 5(2): 211-216.
WU HUI-FANG, Yu YOU-WEN and ZHANG ZONG-YIE. THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL[J]. Chinese Physics C, 1981, 5(2): 211-216. shu
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Received: 1979-09-26
Revised: 1900-01-01
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THE EIGENVALUES OF THE COMPLEX SQUARE WELL POTENTIAL

Abstract: In order to study the structure of the bound states of the p-p system, a Schrodinger equation of a complex square well with finite depth is solved exactly. We have calculated the variation of the widths Γ of the energy levels with the depth ξ and the range a1 of the virtual part of the potential and compared them with the perturbation results. We come to the conclusion that (ⅰ) the narrow widths of the bound states are obtained; (ⅱ) the perturbation method can not be used to calculate the widths of the levels for a complex square well when the depth of the virtual part of the potential is much larger than the real part; (ⅲ) to describe annihilation of p-p system by means of the absorption potential not only depends on ξ, the depth of the virtual part of the potential, but also on the range a1.

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