粲偶素光谱上部质量差的精确解释
The exact interpretation of mass differences in upper part of the charmonium spectrum
摘要：
研究了粲偶素介子$ψ$（3770），$X$（3872），$χ$（3929），$X$（3940），$ψ$（4040），$ψ$（4160），$X$（4259）和$ψ$（4415）的质量差.对数据的分析表明，用谐振子及其全振子精确解释了与$ψ$（4415）的7个质量差中的5个。粲谱的上部由两个基团组成。除了两个粒子（$ψ$（3770）和$ψ$（4040））相互连接外，其余5个粒子与介子$ψ$（4415）连接。这些能级被谐振子和完全振子的基本群分开。实验数据与计算值吻合较好。重新计算了介子$ψ$（4415）、$X$（4260）、$ψ$（4160）、$X$（3943）和$χ$（3929）的质量。第二组证明了在低于阈值$D\bar{D}$的情况下，调和夸克也能很好地工作。
英文摘要：
Mass differences of the charmonium mesons $ψ$(3770), $X$(3872), $χ$(3929), $X$(3940), $ψ$(4040), $ψ$(4160), $X$(4259) and $ψ$(4415) have been studied. The analysis of data has shown, 5 of 7 mass differences with $ψ$(4415) are precisely interpreted by using of harmonic quarks and their complete oscillators. Upper part of the charmonium spectrum consists of two groups. Except for two particles ($ψ$(3770) and $ψ$(4040)) connected among themselves, the others 5 particles are connected with a meson $ψ$(4415). The levels are separated by elementary groups of harmonic quarks and completed oscillators. Experimental and calculated data are in the good consent. The masses of mesons $ψ$(4415), $X$(4260), $ψ$(4160), $X$(3943) and $χ$(3929) were recalculated. The second group demonstrates that harmonic quarks can also well work below threshold $D\bar{D}$.
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