Charmonium States in QCD-Inspired Quark Potential Model Using Gaussian Expansion Method

Charmonium States in QCD-Inspired Quark Potential Model Using Gaussian Expansion Method
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采用高斯展开法的 QCD 启发夸克势模型中的仄态

DOI:
10.1007/s00601-012-0478-z
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发表时间:
2012-06
期刊:
影响因子:
1.6
通讯作者:
Chen, Hong
Chen, Hong
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Cao, Lu;Yang, You-Chang;Chen, Hong

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通过比较纯标量和标量矢量混合线性禁闭势,我们研究了自旋相关势的非微扰处理下Charmonium系统的质量谱和电磁过程。结果表明,标量-矢量混合禁闭对重现质量谱和衰变宽度具有重要意义,其中矢量分量预计约为22%。通过全势哈密顿量得到的状态波函数,缓解了J/ψ和ψ‘在M1辐射跃迁中长期存在的差异。这项工作也为丰富的类高碳态中可能的cc̄态提供了检验和建议。特别是,新观察到的X(4160)和X(4350)是在Charmonium家族的质谱图ASM(21D2)=4164.9 MeV和M(33P2)=4352.4 MeV中发现的,它们分别强烈支持JPc=2−+,2++的归属。还从理论上预测了相应的辐射跃迁、轻子衰变宽度和双光子衰变宽度,为进一步的实验研究做了准备。
We investigate the mass spectrum and electromagnetic processes of charmonium system with the nonperturbative treatment for the spin-dependent potentials, comparing the pure scalar and scalar-vector mixing linear confining potentials. It is revealed that the scalar-vector mixing confinement would be important for reproducing the mass spectrum and decay widths, and therein the vector component is predicted to be around 22 %. With the state wave functions obtained via the full-potential Hamiltonian, the long-standing discrepancy in M1 radiative transitions ofJ/ψ and ψ′ are alleviated. This work also provides an inspection and suggestion for the possible cc̄ states among the copious higher charmonium-like states. Particularly, the newly observedX(4160) andX(4350) are found in the charmonium family mass spectrum asM(21D2) = 4164.9 MeV andM(33P2) = 4352.4 MeV, which strongly favor theJPC= 2−+, 2++assignments respectively. The corresponding radiative transitions, leptonic and two-photon decay widths have been also predicted theoretically for the further experimental search.
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