Role of scalar $$a_0(980)$$ a 0 (
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Regular Article - Theoretical Physics
Role of scalar a0 (980) in the single Cabibbo suppressed process D+ → π +π 0 η Man-Yu Duan1, Jun-Ya Wang1, Guan-Ying Wang1,2,3 , En Wang1,a , De-Min Li1,b 1
School of Physics and Microelectronics, Zhengzhou University, Zhengzhou 450001, Henan, China School of Physics and Electronics, Henan University, Kaifeng 475004, China 3 International Joint Research Laboratory of New Energy Materials and Devices of Henan Province, Henan University, Kaifeng 475004, China
2
Received: 27 August 2020 / Accepted: 2 November 2020 © The Author(s) 2020
Abstract Taking into account that the scalar a0 (980) can be dynamically generated from the pseudoscalar-pseudoscalar interaction within the chiral unitary approach, we have studied the single Cabibbo suppressed process D + → π + π 0 η. We find clear peaks of a0 (980)+ and a0 (980)0 in the π + η and π 0 η invariant mass distributions, respectively. The predicted Dalitz plots of D + → π + π 0 η also manifest the significant signals for a0 (980)+ and a0 (980)0 states. The uncertainties of the results due to the free parameters are also discussed. Our study shows that the process D + → π + π 0 η can be used to explore the nature of the scalar a0 (980), thus we encourage the experimental physicists to measure this reaction with more precision.
1 Introduction The studies of the charmed hadron decays are crucial to explore the strong and weak interaction effects, and to search for the C P violation [1–7]. Recently, the BESIII Collaboration has measured the absolute branching fraction of the D + → π + π 0 η decay of (2.23 ± 0.15 ± 0.10) × 10−3 [8], with much more precision than the prior measurement (1.38 ± 0.31 ± 0.16) × 10−3 of the CLEO Collaboration [9], and no evidence of C P violation is found. Although there is no significant ρ + and scalar a0 (980)0,+ in the Dalitz plot of the D + → π + π 0 η decay, the BESIII Collaboration has pointed out that the phase-space Monte Carlo distributions do not agree well with the data distributions due to some possible resonances, and mentioned that the amplitude analyses of this decay in the near future with large data sample at BESIII and Belle II will offer the opportunity to explore the decay of D + → a0 (980)π [8]. a e-mail:
[email protected] (corresponding author)
b e-mail:
[email protected]
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It should be stressed that the signal of the a0 (980) was found in many processes. For instance, Ref. [10] has studied the decay D 0 → K s0 a0 (980), and found a clear signal of the a0 (980) in the π 0 η invariant mass distribution, and the Belle Collaboration has also observed the signal of the a0 (980) in the decay D 0 → K − π + η [11]. In addition, there are significant peaks of the a0 (980)0 and a0 (980)+ in the π 0 η and π + η invariant mass distributions of the process Ds+ → π + π 0 η, as discussed in Refs. [12,13]. Because the process D + → a0 (980)π can proceed in S-wave, and the scalar a0 (980) has a large coupling to the π η channel, we expect that there should be a sizeable signal of
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