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Peer-reviewedCC BY 4.0The European Physical Journal C

Roles of a0(980)+ f0(500,980) and a1(1260)+η production mechanisms in decay Ds+ → π + π 0 π 0 η

  • Jun He1
  1. 1Nanjing Normal University
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Abstract

In this work, we theoretically investigate the decay mechanism of Ds+ → π + π 0 π 0 η D s + → π + π 0 π 0 η based on BESIII data, considering two mechanisms: the production of two dynamically generated resonances, Ds+ → a0(980)+ f0(500,980) D s + → a 0 ( 980 ) + f 0 ( 500 , 980 ) , and a process with one dynamically generated resonance, Ds+ → a1(1260)+η D s + → a 1 ( 1260 ) + η . In the first mechanism, the interactions π +η π + η and K+K̅0 K + K ¯ 0 are included to generate the a0(980)+ a 0 ( 980 ) + , while coupled-channel interactions involving π +π - π + π - , π 0π 0 π 0 π 0 , K+K- K + K - , K0K̅0 K 0 K ¯ 0 , η η η η , and π 0η π 0 η are adopted to generate the f0(500) f 0 ( 500 ) as well as the f0(980) f 0 ( 980 ) . For the second mechanism, the π ρ π ρ and K̅*K − K*K̅ K ¯ ∗ K - K ∗ K ¯ channels are included to generate the a1(1260) a 1 ( 1260 ) . With these interactions, the amplitudes are calculated in the chiral unitary approach and used to compute the invariant mass spectra of Ds+ → π + π 0 π 0 η D s + → π + π 0 π 0 η . The results suggest that the peak near 1000 MeV in the π +η π + η invariant mass spectrum can be well interpreted as the a0(980)+ a 0 ( 980 ) + arising from a cusp effect. The f0(980) f 0 ( 980 ) , generated together with the f0(500) f 0 ( 500 ) , is responsible for the small structure near 1000 MeV in the π 0π 0 π 0 π 0 spectrum. The a1(1260)+ a 1 ( 1260 ) + and its decay to ρ +π 0 ρ + π 0 followed by the subsequent ρ + ρ + decay provide a good description of the π +π 0π 0 π + π 0 π 0 and π +π 0 π + π 0 mass spectra. The inclusion of an additional resonance near 800 MeV in the π +η π + η spectrum leads to only a marginal improvement of the fit.

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Cite

BibTeXRIS
BibTeX
@article{he2026roles,
  title = {{Roles of $$a_0(980)^+ f_0(500,980)$$ and $$a_1(1260)^+\eta $$ production mechanisms in decay $$D_s^+ \rightarrow \pi ^+ \pi ^0 \pi ^0 \eta $$}},
  author = {Jun He},
  journal = {The European Physical Journal C},
  year = {2026},
  month = oct,
  doi = {10.1140/epjc/s10052-026-16461-x},
  url = {https://link.springer.com/article/10.1140/epjc/s10052-026-16461-x},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Roles of a_0(980)^+ f_0(500,980) and a_1(1260)^+η production mechanisms in decay D_s^+ → π ^+ π ^0 π ^0 η
AU  - Jun He
PY  - 2026
DA  - 2026/10/01
JO  - The European Physical Journal C
DO  - 10.1140/epjc/s10052-026-16461-x
UR  - https://link.springer.com/article/10.1140/epjc/s10052-026-16461-x
AB  - In this work, we theoretically investigate the decay mechanism of D_s^+ → π ^+ π ^0 π ^0 η D s + → π + π 0 π 0 η based on BESIII data, considering two mechanisms: the production of two dynamically generated resonances, D_s^+ → a_0(980)^+ f_0(500,980) D s + → a 0 ( 980 ) + f 0 ( 500 , 980 ) , and a process with one dynamically generated resonance, D_s^+ → a_1(1260)^+η D s + → a 1 ( 1260 ) + η . In the first mechanism, the interactions π ^+η π + η and K^+K̅^0 K + K ¯ 0 are included to generate the a_0(980)^+ a 0 ( 980 ) + , while coupled-channel interactions involving π ^+π ^- π + π - , π ^0π ^0 π 0 π 0 , K^+K^- K + K - , K^0K̅^0 K 0 K ¯ 0 , η η η η , and π ^0η π 0 η are adopted to generate the f_0(500) f 0 ( 500 ) as well as the f_0(980) f 0 ( 980 ) . For the second mechanism, the π ρ π ρ and K̅^*K − K^*K̅ K ¯ ∗ K - K ∗ K ¯ channels are included to generate the a_1(1260) a 1 ( 1260 ) . With these interactions, the amplitudes are calculated in the chiral unitary approach and used to compute the invariant mass spectra of D_s^+ → π ^+ π ^0 π ^0 η D s + → π + π 0 π 0 η . The results suggest that the peak near 1000 MeV in the π ^+η π + η invariant mass spectrum can be well interpreted as the a_0(980)^+ a 0 ( 980 ) + arising from a cusp effect. The f_0(980) f 0 ( 980 ) , generated together with the f_0(500) f 0 ( 500 ) , is responsible for the small structure near 1000 MeV in the π ^0π ^0 π 0 π 0 spectrum. The a_1(1260)^+ a 1 ( 1260 ) + and its decay to ρ ^+π ^0 ρ + π 0 followed by the subsequent ρ ^+ ρ + decay provide a good description of the π ^+π ^0π ^0 π + π 0 π 0 and π ^+π ^0 π + π 0 mass spectra. The inclusion of an additional resonance near 800 MeV in the π ^+η π + η spectrum leads to only a marginal improvement of the fit.
SN  - 1434-6052
SN  - 1434-6044
ER  -