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 λand some related physical quantities upon the potential parameters vand Eis approximately the same as in our previous work. But the average radii of the bound mesons cease increasing as vincreases. For each value of v, there exists a maximum average radius√ 2>_max, and all these √ 2>_maxare 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 ofv, a parameter characterizing the shape of the potential. The results show that the dependence of the eigenvaluesλand some related physical quantities upon the potential parametersvandEis approximately the same as in our previous work. But the average radii of the bound mesons cease increasing asvincreases. For each value ofv, there exists a maximum average radius√2>_max, and all these √2>_maxare 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 potentialV_D（r） corresponding to the potentialV_v（r） in our previous work, the calculated radii of the bound mesons do approach the experimental value.