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arXiv 1104.1918hep-phhep-ex
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$D$和$D_s$介子的高激发态

Higher excitations of the $D$ and $D_s$ mesons

A. M. Badalian, B. L. G. Bakker

摘要:

更高的$D(nL)$和$D_s(nL)$激发的质量被证明是由于来自QCD弦本身旋转的弦贡献而减少的:它使$L=2 (n=1)$的质量减少了45 MeV,$L=3 (n=1)$减少了65 MeV。如果在相对论模型中使用轻(奇异)夸克的当前质量,则会发生$\sim 100$ MeV的额外减少。对于$D_s(1\,{}^3D_3)$和$D_s(2P_1^H)$,计算的质量与$D_s(2860)$和$D_s(3040)$的实验值一致,$D(2\,{}^1S_0)$、$D(2\,{}^3S_1)$、$D(1\,{}^3D_3)$和$D(1D_2)$的质量与新的BaBar数据一致。对于尚未发现的共振,我们预测的质量$M(D(2\,{}^3P_2))=2965$兆电子伏,$M(D(2\,{}^3P_0))=2880$兆电子伏,$M(D(1\,{}^3F_4))=3030$兆电子伏,和$M(D_s(1\,{}^3F_2))=3090$兆电子伏。我们证明了对于$L=2,3$,具有$j_q=l+1/2$和$j_q=l-1/2$的态($J=l$)几乎是完全不混合的($ϕ\simeq -1^\circ$),这意味着S=1和S=0的态($J=L$)之间的混合角$θ$对于L=2是$θ\approx 40^\circ$,对于L=3是$\approx 42^\circ$。

英文摘要:

The masses of higher $D(nL)$ and $D_s(nL)$ excitations are shown to decrease due to the string contribution, originating from the rotation of the QCD string itself: it lowers the masses by 45 MeV for $L=2 (n=1)$ and by 65 MeV for $L=3 (n=1)$. An additional decrease $\sim 100$ MeV takes place if the current mass of the light (strange) quark is used in a relativistic model. For $D_s(1\,{}^3D_3)$ and $D_s(2P_1^H)$ the calculated masses agree with the experimental values for $D_s(2860)$ and $D_s(3040)$, and the masses of $D(2\,{}^1S_0)$, $D(2\,{}^3S_1)$, $D(1\,{}^3D_3)$, and $D(1D_2)$ are in agreement with the new BaBar data. For the yet undiscovered resonances we predict the masses $M(D(2\,{}^3P_2))=2965$ MeV, $M(D(2\,{}^3P_0))=2880$ MeV, $M(D(1\,{}^3F_4))=3030$ MeV, and $M(D_s(1\,{}^3F_2))=3090$ MeV. We show that for $L=2,3$ the states with $j_q=l+1/2$ and $j_q=l-1/2$ ($J=l$) are almost completely unmixed ($ϕ\simeq -1^\circ$), which implies that the mixing angles $θ$ between the states with S=1 and S=0 ($J=L$) are $θ\approx 40^\circ$ for L=2 and $\approx 42^\circ$ for L=3.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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