The $P_{ψs}^Λ(4338)$ pentaquark and its partners in the molecular picture

Yan, Mao-Jun; Peng, Fang-Zheng; Sánchez, Mario Sánchez; Valderrama, Manuel Pavon

doi:10.48550/arxiv.2207.11144

Cited by 3 publications

(7 citation statements)

References 41 publications

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“…Because the P ψ s (4338) peak is much closer to the threshold for + c D − rather than 0 c D0 , we do not expect isospin symmetry to be respected in this system. This was discussed in refs [4,37], and is similar to related observations in, for example, X(3872) and the P c states [38][39][40][41][42]. In T 2 we therefore consider the D0 .…”

Section: Modelsupporting

confidence: 57%

“…Nevertheless it remains to be seen whether it is possible to obtain the right level of splitting, while also reconciling the significant c D * binding with the lack of binding in c D. We note that in the model of ref. [4], there is no region of parameter space in which both P ψ s (4338) and two P cs (4459) states can be accommodated.…”

Section: * Corresponding Authormentioning

confidence: 99%

“…The final-state interactions are responsible for couplings among all the relevant channels so far discussed We choose to model the final-state interactions as contact terms constrained by heavy-quark symmetry, following an approach which has been widely applied to [32]. Most of the contact terms we need for the present case can be extracted from those by assuming, as in refs [4,8,11], that the interactions are invariant under rotations in SU 3 flavor space. Hence the matrix elements for the SU 3 flavor, SU 2 isospin states 8, 1 and 8, 3 , formed out of…”

Section: Modelmentioning

confidence: 99%

“…Because of its proximity to c D threshold, a molecular interpretation of P ψ s (4338) has been proposed [2][3][4]. Molecules with c D constituents have been predicted in a wide range of models, typically assuming a binding interaction due to boson exchange, or effective field theory constrained by heavy quark symmetry [5][6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

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The LHCb state PψsΛ(4338) as a triangle singularity

Burns

Swanson

2023

Physics Letters B

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Section: Modelsupporting

confidence: 57%

Section: * Corresponding Authormentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The LHCb state PψsΛ(4338) as a triangle singularity

Burns

Swanson

2023

Physics Letters B

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“…The partners of the P Λ ψs (4338) 0 were also investigated in Refs. [14,15]. It is worthwhile to emphasize that the P Λ ψs (4338) 0 had been predicted as the Ξ c D molecule before the experimental report.…”

Section: Introductionmentioning

confidence: 93%

The double thresholds distort the lineshapes of the $P_{ψs}^Λ(4338)^0$ resonance

Li¹,

Wang²,

Zhu³

2022

Preprint

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Very recently, the LHCb Collaboration reported the first observation of the hidden charm pentaquark with strangeness, P Λ ψs (4338) 0 . Considering this state is very close to the Ξ 0 c D0 and Ξ + c D − thresholds, we explore the possible bias of the Breit-Wigner parameterization, with emphasis on the effect of its coupling to the double thresholds Ξ 0 c D0 and Ξ + c D − . We first use a qualitative picture of the "landing points" based on the topological structures of the Riemann sheets of the two-channel system to understand the positions of the enhancement. Then we use the Lippmann-Schwinger equation (LSE) formalism (equivalent to the K-matrix parameterization) with two models, the zero-range model and Flatté model to investigate the J/ψΛ lineshapes. Our results show that the nominal peak of the P Λ ψs (4338) 0 could arise either from the pole well above the Ξ + c D − threshold on the (−, +) sheet or from the pole well below the Ξ 0 c D0 threshold on the (−, −) sheet in the two-channel system. Using the Breit-Wigner distribution to depict the above two lineshapes could be misleading. We also find a novel type of lineshapes with the enhancement constrained by the threshold difference. We urge the LHCb collaboration to perform the refined experimental analysis considering the unitarity and analyticity, e.g. using the K-matrix parameterization. As a by-product, we obtain that the ratio of the isospin violating decay Γ P Λ ψs →J/ψΣ /Γ P Λ ψs →J/ψΛ could be up to 10%.

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An updated review of the new hadron states

et al. 2022

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The past decades witnessed the golden era of hadron physics. Many excited open heavy flavor mesons and baryons have been observed since 2017. We shall provide an updated review of the recent experimental and theoretical progresses in this active field. Besides the conventional heavy hadrons, we shall also review the recently observed open heavy flavor tetraquark states X(2900) and Tcc(3875) as well as the hidden heavy flavor multiquark states X(6900), Pcs(4459), Zcs(3985), Zcs(4000), and Zcs(4220). We will also cover the recent progresses on the glueballs and light hybrid mesons, which are the direct manifestations of the non-Abelian SU(3) gauge interaction of the Quantum Chromodynamics in the low-energy region.

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The $P_{ψs}^Λ(4338)$ pentaquark and its partners in the molecular picture

Cited by 3 publications

References 41 publications

The LHCb state PψsΛ(4338) as a triangle singularity

The LHCb state PψsΛ(4338) as a triangle singularity

The double thresholds distort the lineshapes of the $P_{ψs}^Λ(4338)^0$ resonance

An updated review of the new hadron states

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