QUARK CONFINEMENT POTENTIAL AND COLOR VAN DER WAALS FORCE

  • The color-analog Van der Waals force between two hadrons is studied by use of the coupling channel resonating group method in the framework of the Gaussian-type quark confinement potential. The problem of the boundary values for the two channel coupling differential equations is changed to the problem of the initial values. The equations are solved numerically by use of the Gear method. The calculated results show that there is no color Van der Waals force between hadrons in the confinement potential model. This indicates that the confinement potential model not only can describe the internal structure of hadrons but also can be used to calculate the hadron-hadron interactions if the quark confinement potential is chosen properly.
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  • [1] F. London, Z. Phys., 63(1930), 245; H. B. G. Casimir and D. Polder, Phys. Rev., 73(1948), 360;G. Feinberg et al., Phys. Rev., A2(1370), 2395.[2] T. Sawada, Phys. Lett., 43B(1973), 517.[3] R.S. Willy, Phys. Rev., D18(1978), 270.[4] S. Matsuyama and H. Miyazawa, Prog. Theor. Phys., 61(1979), 942.[5] G. Feinberg and J. Sucher, Phys. Rev., D20(1979), 1717.[6] M. Harvey, NN-NMBP,International Summe School, Changchun, China, July 25-31, 1983.[7] 0. W. Greenberg and H. J. Lipkin, Nucl. Phys,, A370(1981), 349.[8] M. B. Gavela et al., Phys. Lett., 82B (1979),.431.[9] Keh-Fei Liu, NN-NMBP, International Summer School, Changchun, China, July 25-31, 1983.[10] 金星南等, 原子核物理, 5(1983), 263.[11] P. M. Fishbane and M. T. Grisaru, Phys. Lett., 74B(1978), 98.[12] T. Appelquist and W. Fischler, Phys. Lett., 77B (1978), 405.[13] Y. Fujii and K. Mima, Phys. Lett., 798 (1978), 138.[14] 郑玉明, NN-NMBP, International Summer S:hool, Changchun, China, July 25-31, 1983.[15] 华大平, 郑玉明, 原子核物理, 6(1984), No. 2.[16] 郑玉明等, 科学通报, 26(1981), 910.
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ZHENG Yu-Ming, HUA Da-Ping and LIU Zu-Hua. QUARK CONFINEMENT POTENTIAL AND COLOR VAN DER WAALS FORCE[J]. Chinese Physics C, 1985, 9(4): 467-475.
ZHENG Yu-Ming, HUA Da-Ping and LIU Zu-Hua. QUARK CONFINEMENT POTENTIAL AND COLOR VAN DER WAALS FORCE[J]. Chinese Physics C, 1985, 9(4): 467-475. shu
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Received: 1900-01-01
Revised: 1900-01-01
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QUARK CONFINEMENT POTENTIAL AND COLOR VAN DER WAALS FORCE

    Corresponding author: ZHENG Yu-Ming,

Abstract: The color-analog Van der Waals force between two hadrons is studied by use of the coupling channel resonating group method in the framework of the Gaussian-type quark confinement potential. The problem of the boundary values for the two channel coupling differential equations is changed to the problem of the initial values. The equations are solved numerically by use of the Gear method. The calculated results show that there is no color Van der Waals force between hadrons in the confinement potential model. This indicates that the confinement potential model not only can describe the internal structure of hadrons but also can be used to calculate the hadron-hadron interactions if the quark confinement potential is chosen properly.

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