2020
DOI: 10.48550/arxiv.2012.01134
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Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state

Tian-Wei Wu,
Ming-Zhu Liu,
Li-Sheng Geng

Abstract: Motivated by the recent discovery of two new states in the B + → D + D − K + decay by the LHCb Collaboration, we study the D DK three-body system by solving the Schrödinger equation with the Gaussian Expansion Method. We show that the D DK system can bind with quantum numbers I(J P ) = 1 2 (0 − ) and a binding energy of B3(D DK) = 48.9 +1.4 −2.4 MeV. It can decay into J/ψK and Ds D * via triangle diagrams, yielding a partial decay width of about 1 MeV. As a result, if discovered, it will serve as a highly nont… Show more

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Cited by 4 publications
(13 citation statements)
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“…For studies of three-body hadronic molecular states involving the D * s0 (2317) as a DK subsystem, we refer to Refs. [60][61][62][63].…”
Section: A Heavy Mesonsmentioning
confidence: 99%
“…For studies of three-body hadronic molecular states involving the D * s0 (2317) as a DK subsystem, we refer to Refs. [60][61][62][63].…”
Section: A Heavy Mesonsmentioning
confidence: 99%
“…with f π 130 MeV and C W T (0) = 2, C W T (1) = 0 for the isoscalar and isovector channels, respectively. Following the same logic in treating the Σ c D interaction, the isoscalar contact-range DK interaction can be Fourier transferred into coordinate space and represented by a Gaussian shape potential that was already adopted in our previous works [57,70]…”
Section: Two-body Interactionsmentioning
confidence: 99%
“…To remove the ultraviolet divergence of the loop diagrams, we choose a Gaussian form factor exp(−p 2 E /Λ 2 ), where P E is the Euclidean Jacobi momentum and Λ characterizes the distribution of the molecular components inside the molecule. The cutoff value is often chosen to be Λ =1 GeV [57,71,86]. With this value the coupling between P * cs and its component Ds0 (2317) and Σ c is found to be g P * cs Ds0 (2317)Σc = 3.65.…”
Section: Prediction Of a Hidden Charm Pentaquark State With Strangene...mentioning
confidence: 99%
See 1 more Smart Citation
“…In Ref. [19], the mass of the D D * K state have been investigated by solving the Schrödinger equation with quantum numbers I(J P ) = 1/2(1 − ).…”
Section: Introductionmentioning
confidence: 99%