$DDK$ system in finite volume

Pang, Jin-Yi; Wu, Jia-Jun; Geng, Li-Sheng

doi:10.48550/arxiv.2008.13014

Cited by 3 publications

(3 citation statements)

References 55 publications

(116 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If this is the case, in the sense that the deuteron is a bound state of proton and neutron, a naive but straight forward question to ask is whether DDK (and/or DD * K) can form 3-body bound states? A number of recent studies showed that they indeed bind [16][17][18][19][20]. Lately, the Belle Collaboration has performed the first experimental search for the existence of the DDK bound state and reported an upper limit for its production yield [21].…”

mentioning

confidence: 99%

Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state

Wu,

Liu,

Geng

2020

Preprint

Self Cite

View full text Add to dashboard Cite

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 nontrivial check on the nature of the many exotic hadrons discovered so far and on non-perturbative QCD as well. Assuming heavy quark spin symmetry, the same formalism is applied to study the D D * K system, which is shown to also bind with quantum numbers I(J P ) = 1 2 (1 − ) and a binding energy of B3(D D * K) 77.3 +3.1 −6.6 MeV, consistent with the results of previous works.

show abstract

mentioning

confidence: 99%

Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state

Wu,

Liu,

Geng

2020

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…An example for a particle-dimer theory with two dimer fields that can interact with each other can be found in ref. [93]. After integrating out the dimer fields, interactions with an odd number of pion fields can be obtained, e.g.…”

Section: Jhep04(2023)100mentioning

confidence: 99%

Particle-dimer approach for the Roper resonance in a finite volume

Severt¹,

Mai

Meißner

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We propose a new finite-volume approach which implements two- and three-body dynamics in a transparent way based on an Effective Field Theory Lagrangian. The formalism utilizes a particle-dimer picture and formulates the quantization conditions based on the self-energy of the decaying particle. The formalism is studied for the case of the Roper resonance, using input from lattice QCD and phenomenology. Finally, finite-volume energy eigenvalues are predicted and compared to existing results of lattice QCD calculations. This crucially provides initial guidance on the necessary level of precision for the finite-volume spectrum.

show abstract

“…It should be mentioned that hadronic few-body systems have been extensively studied by different methods in the charm sector, such as the hidden charmed D DK [57] and D D * K [57-59], the BB K system [60], the πD D [61], ρD D [62], BD D [63] and Ξ cc Ξcc K [64], the singly charmed DN N [65], DK K [66,67], and N DK(N D K) [68], the doubly charmed DDK [69][70][71][72], BDD [63] and DD * K [58] systems, the triply charmed four-body DDDK [70], and the quadruply charmed Ξ cc Ξ cc K [64] systems. For recent reviews, see Refs.…”

Section: Introductionmentioning

confidence: 99%

Hidden charm pentaquark with strangeness $P_{cs}^*(4739)$ as a $Σ_{c}\bar{D}\bar{K}$ bound state

Wu,

Pan,

Liu

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

Motivated by the recent discovery of the first hidden charm pentaquark state with strangeness P cs (4459) by the LHCb Collaboration, we study the likely existence of a threebody Σ c D K bound state, which shares the same minimal quark content as P cs (4459). The Σ c D and DK interactions are determined by reproducing P c (4312) and D * s0 (2317) as Σ c D and D K molecules, respectively, while the Σ c K interaction is constrained by chiral effective theory. We indeed find a three-body bound state by solving the Schrödinger equation using the Gaussian Expansion Method, which can be viewed as an excited hidden charm pentaquark state with strangeness, P * cs (4739), with I(J P ) = 1(1/2 + ) and a binding energy of 77.8 +25 −10.3 MeV. We further study its strong decays via triangle diagrams and show that its partial decay widths into DΞ c and D * s Σ c are of a few ten's MeV, with the former being dominant.

show abstract

$DDK$ system in finite volume

Cited by 3 publications

References 55 publications

Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state

Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state

Particle-dimer approach for the Roper resonance in a finite volume

Hidden charm pentaquark with strangeness $P_{cs}^*(4739)$ as a $Σ_{c}\bar{D}\bar{K}$ bound state

Contact Info

Product

Resources

About