Abstract
In this paper, we study the spectrum and decay behavior of $5^{++}$ meson family which is still missing in experiment. By the modified Godfrey-Isgur model with a color screening effect, we obtain the mass spectrum of $a_5$, $f_5$ and $f_5^\prime$ mesons. And we predict their two-body strong decays by means of a phenomenology quark pair creation model. This study is crucial to establish $J^{PC}=5^{++}$ meson family and it is also helpful to search for these states in the future.
Highlights
In the past decades, the quark model has made great achievements
This study is crucial to establish JPC 1⁄4 5þþ meson family and helpful to search for these states in the future, and important for verifying quark model
For further study the properties of 5þþ mesons, we study their Okubo-Zweig-Iizuka (OZI)allowed two-body strong decays taking input with the spatial wave functions obtaining in mass spectrum numerically calculation
Summary
The quark model has made great achievements. There are six quarks, upðuÞ, downðdÞ, strangeðsÞ, charmðcÞ, bottomðbÞ, and topðtÞ, in the quark model. For further study the properties of 5þþ mesons, we study their Okubo-Zweig-Iizuka (OZI)allowed two-body strong decays taking input with the spatial wave functions obtaining in mass spectrum numerically calculation Their partial and total decay widths are predicted by using a quark pair creation (QPC) model which was proposed by Micu [18] and extensively applied to studies of strong decay of other hadrons [1,3,4,5,6,7,15, 19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38].
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