$F$-wave heavy-light meson spectroscopy in QCD sum rules and heavy quark effective theory

$F$ -wave heavy-light meson spectroscopy in QCD sum rules and heavy quark effective theory

Dan Zhou, Hua-Xing Chen, Li-Sheng Geng, Xiang Liu, and Shi-Lin Zhu

Phys. Rev. D 92, 114015 – Published 10 December 2015

Abstract

We study the $F$ -wave $\bar{c} s$ heavy meson doublets $(2^{+}, 3^{+})$ and $(3^{+}, 4^{+})$ . They have large orbital excitations $L = 3$ , and may be good challenges (tests) for theoretical studies. To study them we use the method of QCD sum rule in the framework of heavy quark effective theory. Their masses are predicted to be $m_{(2^{+}, 3^{+})} = (3.45 \pm 0.25, 3.50 \pm 0.26) GeV$ and $m_{(3^{+}, 4^{+})} = (3.20 \pm 0.22, 3.26 \pm 0.23) GeV$ , with mass splittings $Δ m_{(2^{+}, 3^{+})} = m_{3^{+}} - m_{2^{+}} = 0.046 \pm 0.030 GeV$ and $Δ m_{(3^{+}, 4^{+})} = 0.053 \pm 0.044 GeV$ , respectively. We note that this is a pioneering work and these results are provisional.

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Received 13 June 2015

DOI:https://doi.org/10.1103/PhysRevD.92.114015

Authors & Affiliations

Dan Zhou, Hua-Xing Chen^*, and Li-Sheng Geng

School of Physics and Nuclear Energy Engineering and International Research Center for Nuclei and Particles in the Cosmos, Beihang University, Beijing 100191, China

Xiang Liu^†

School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China, and Research Center for Hadron and CSR Physics, Lanzhou University, and Institute of Modern Physics of CAS, Lanzhou 730000, China

Shi-Lin Zhu^‡

School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China; Collaborative Innovation Center of Quantum Matter, Beijing 100871, China, and Center of High Energy Physics, Peking University, Beijing 100871, China

^*hxchen@buaa.edu.cn
^†xiangliu@lzu.edu.cn
^‡zhusl@pku.edu.cn

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Vol. 92, Iss. 11 — 1 December 2015

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Physical Review D

covering particles, fields, gravitation, and cosmology