2018
DOI: 10.48550/arxiv.1811.06434
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The spin parity of $Z_c^-$(4100), $Z_1^+$(4050) and $Z_2^+$(4250)

Xu Cao,
Jian-Ping Dai

Abstract: We conjecture that Z − c (4100) found by LHCb group from a Dalitz plot analysis ofdecay is the charge conjugate of Z + 1 (4050) observed in χ c1 π + distribution from Belle collaboration. Some interesting conclusions are inferred from this assumption. The Z 2 (4250) would be assigned to be a J P = 1 + or 1 − state because of its absence in η c π − invariant mass distribution, while Z + 1 (4050)/Z − c (4100) could be a 0 + or 1 − state but 2 + is unfavored because it would be coupled to η c π in D-wave. The nul… Show more

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Cited by 7 publications
(11 citation statements)
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References 38 publications
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“…The spin-parity assignments J P = 0 + and 1 − are both consistent with the experimental data [13]. Is it a candidate for a scalar tetraquark state [12,14,15], hadrocharmonium [16], D * D * molecular state [17], or charge conjugation of the Z + c (4050) [18] ? In Refs.…”
Section: Introductionsupporting
confidence: 69%
See 1 more Smart Citation
“…The spin-parity assignments J P = 0 + and 1 − are both consistent with the experimental data [13]. Is it a candidate for a scalar tetraquark state [12,14,15], hadrocharmonium [16], D * D * molecular state [17], or charge conjugation of the Z + c (4050) [18] ? In Refs.…”
Section: Introductionsupporting
confidence: 69%
“…The larger uncertainties +0. 18 −0.17 GeV and +0.19 −0.18 GeV (compared to the uncertainties ±0.05 GeV, ±0.10 GeV and +0.08 −0.09 GeV) in the ground state masses originate from the QCD sum rules, where both the ground state and the first radial excited state are taken into account at the hadron side. If only the ground states are taken into account in the QCD sum rules, the uncertainties |δM | ≤ 0.10 GeV, so the uncertainties +0.…”
Section: Introductionmentioning
confidence: 94%
“…In Ref. [810], Cao and Dai discussed possible J P assignments for the Z c (4100), Z 1 (4050) [called Z c (4050) in PDG [35]], and Z 2 (4250) and proposed that the Z c (4100) observed in η c π by LHCb [67] and the Z 1 (4050) observed in χ c1 π by Belle [811] correspond to the same state. They suggested that the Z 2 (4250) should be a 1 + or 1 − state, while the Z c (4100)/Z 1 (4050) could be a 0 + or 1 − state.…”
Section: The Y Statesmentioning
confidence: 99%
“…In this case, the Z cs (4220) would be an excited state of Z cs (3985). If considering them as two different states, the Z cs (3985) → J/ψ K decay is suppressed in the limit of the HQSS [47], and the Z cs (4220) at LHCb would be the expected axial-vector (4220) at LHCb, is predicted by HQSS within hadroquarkonium framework [13] together with another Z cs (4350) as the respective partners of Z c (4100) [48] and Z c (4200) [49] (for a discussion of their spin-parity see [50]).…”
Section: Introductionmentioning
confidence: 99%