THE UNIFIED EXPLANATION OF MESON MASS SPECTRUM

  • Starting from the assumption of the instantaneous interaction and supposing that the effective couplings between the quark and the antiquark arc spin independent, an unified solution of the 3-dimensional wave functions of the mesons with the natural Jpc is obtained, where J can take all the possible values. This type of the solutions has only one independent space wave function, which satisfies a second order equation. In the heavy quark approximation, adopting the linear potential, the mass spectrum of the new and the old mesons can be roughly explained by the formula of the energy cigenvalue of this equation.
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  • [1] An Fing, Zhu Zhongyuan and Zhang Jianzu, Proceedings of the 1980 Guangzhou Conference on Theoretical Particle Physics, 1980, p 473.[2] 朱重远、安瑛、张鉴祖, 科学通报, 8(1980), 460,[3] Hu Ning, Scientia Sinica, XXII(1979), 295.[4] 北京大学理论物理研究室基本粒子理论组, 中国科学院数学研究所理论物理研究室, 北京大学学报(自然科学), 12(1966), 209.[5] 何柞庥, 张鉴祖, 即将发表.[6] E, Eichten et al., Phys. Rev., D17(1978), 3090.[7] Particle Data Group, Phys. Lett., 111B(1982).[8] 丁奕兵, 张凯慈、赵光达, 1980年武汉强子结构讨论会文集.P.205.
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ZHANG JIAN-ZU. THE UNIFIED EXPLANATION OF MESON MASS SPECTRUM[J]. Chinese Physics C, 1983, 7(6): 688-693.
ZHANG JIAN-ZU. THE UNIFIED EXPLANATION OF MESON MASS SPECTRUM[J]. Chinese Physics C, 1983, 7(6): 688-693. shu
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Received: 1900-01-01
Revised: 1900-01-01
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THE UNIFIED EXPLANATION OF MESON MASS SPECTRUM

  • Shanxi University

Abstract: Starting from the assumption of the instantaneous interaction and supposing that the effective couplings between the quark and the antiquark arc spin independent, an unified solution of the 3-dimensional wave functions of the mesons with the natural Jpc is obtained, where J can take all the possible values. This type of the solutions has only one independent space wave function, which satisfies a second order equation. In the heavy quark approximation, adopting the linear potential, the mass spectrum of the new and the old mesons can be roughly explained by the formula of the energy cigenvalue of this equation.

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