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arXiv · 1004.0311

D_{s1}^{*}(2710) and D_{sJ}^{*}(2860) in the U~(12)*O(3,1)-scheme

Tomohito Maeda·Kenji Yamada·Masuho Oda·Shin Ishida
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Abstract

In order to classify the charmed-strange mesons, including puzzling D_{s0}^{*}(2317) and D_{s1}(2460), and recently observed D_{s1}^{*}(2710) and D_{sJ}^{*}(2860), we employ the U~(12)*O(3,1) level-classification scheme of hadrons proposed and developed by us in recent years. The scheme has a new degree of freedom, SU(2)_ρ, which leads to a number of extra states out of conventional SU(6)-scheme, named chiralons. Applying this novel classification scheme, we investigate the strong decays of S- and P-wave c\bar{s} mesons with one pseudoscalar emission by using the covariant oscillator quark model. As a result it is shown that D_{s0}^{*}(2317) and D_{s1}(2460) are described as {}^{1}S_{0}^χ and {}^{3}S_{1}^χ chiralons, forming the SU(2)_ρ doublet with the ground-state D_{s}^{} and D_{s}^{*}, respectively. Furthermore, the observed decay properties of D_{s1}^{*}(2710) is consistently explained as the vector chiralon {}^{1}P_{1}^χ. On the other hand, it is also found that the controversial narrow state, D_{sJ}^{*}(2860), does not fit as predicted properties of our P-wave vector chiralon.

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Tomohito Maeda, Kenji Yamada, Masuho Oda, Shin Ishida. 2010-04-02. D_{s1}^{*}(2710) and D_{sJ}^{*}(2860) in the U~(12)*O(3,1)-scheme. https://doi.org/10.1063/1.3483359

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