FURTHER DISCUSSION ON THE EQUATION AND ITS SOLUTIONS FOR THE BOUND STATES OF MESONS

GAO LUN

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1978, Vol. 2> Issue(3) : 211-224

FURTHER DISCUSSION ON THE EQUATION AND ITS SOLUTIONS FOR THE BOUND STATES OF MESONS

GAO LUN

Szechuan University

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Abstract：
We continue the investigation of the equation and its solutions for the bound states of mesons discussed previously, emphasizing on large values of v, a parameter characterizing the shape of the potential. The results show that the dependence of the eigenvalues λ and some related physical quantities upon the potential parameters v and E is approximately the same as in our previous work. But the average radii of the bound mesons cease increasing as v increases. For each value of v, there exists a maximum average radius√<R²>_max, and all these √<R²>_max are approximately equal to 12.6 M^-1 （M being the mass of the straton）, which is much smaller than the experimental value of the radius of the π meson. However, if we assume, in addition to the attractive potential, there exists, for the straton-anti-straton superstrong interactions, also a repulsive potential, and, in particular, if we introduce a differencetype potential V_D（r） corresponding to the potential V_v（r） in our previous work, the calculated radii of the bound mesons do approach the experimental value.

References

[1]	冼鼎昌、吴坚武、高崙、计算，中国科学，1977, 5, 431 .[2] 北京大学物理系基本粒子理论组，北京大学学报，1966, 12, 213[3] G. E. Wick, Phys. Rev., 96 (1958), 1924.[4] 北京大学物理系基本粒子理论组，物理学报，25 (1976), 415.

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GAO LUN. FURTHER DISCUSSION ON THE EQUATION AND ITS SOLUTIONS FOR THE BOUND STATES OF MESONS[J]. Chinese Physics C, 1978, 2(3): 211-224.

GAO LUN. FURTHER DISCUSSION ON THE EQUATION AND ITS SOLUTIONS FOR THE BOUND STATES OF MESONS[J]. Chinese Physics C, 1978, 2(3): 211-224. shu

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Received: 1977-09-12
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

FURTHER DISCUSSION ON THE EQUATION AND ITS SOLUTIONS FOR THE BOUND STATES OF MESONS

GAO LUN

Szechuan University

Received Date: 1977-09-12
Accepted Date: 1900-01-01
Available Online: 1978-06-05

Abstract: We continue the investigation of the equation and its solutions for the bound states of mesons discussed previously, emphasizing on large values of v, a parameter characterizing the shape of the potential. The results show that the dependence of the eigenvalues λ and some related physical quantities upon the potential parameters v and E is approximately the same as in our previous work. But the average radii of the bound mesons cease increasing as v increases. For each value of v, there exists a maximum average radius√<R²>_max, and all these √<R²>_max are approximately equal to 12.6 M^-1 （M being the mass of the straton）, which is much smaller than the experimental value of the radius of the π meson. However, if we assume, in addition to the attractive potential, there exists, for the straton-anti-straton superstrong interactions, also a repulsive potential, and, in particular, if we introduce a differencetype potential V_D（r） corresponding to the potential V_v（r） in our previous work, the calculated radii of the bound mesons do approach the experimental value.