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Liu, Xiang; Liu, Yan‐Rui; Deng, Wubing; Zhu, Shi-Lin

doi:10.1103/physrevd.77.094015

Cited by 123 publications

(165 citation statements)

References 22 publications

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“…[203] reexamined this issue by considering both the pion and σ meson exchange potentials, where the form factor was introduced to take into account the structure effect of the interaction vertex. Different from the treatment in Ref.…”

Section: A Short Summarymentioning

confidence: 99%

“…The proximity of their masses to the thresholds inspired molecular explanations of these structures [196,215,216,202,217,218,219,220,221,222,223,224,225,203,226,200,227,228,229,230,231,232,233,234,235,236,237,238,239]. With the refinement of the meson exchange model, many subtle aspects of this framework were investigated, such as the S-D wave mixing effect [185,197], coupled-channel effect [240,241,242], and recoil correction [243,244].…”

Section: The Meson Exchange Modelmentioning

confidence: 99%

“…[201] and was reexamined in Refs. [202,203] by a dynamical calculation. Later, more charged states Z b (10610), Z b (10650) and Z c (3900) were reported.…”

Section: +5mentioning

confidence: 99%

“…Otherwise, such a formalism is not self-consistent. In other words, the form factor is introduced to cut off the ultraviolet contribution [203].…”

Section: The Meson Exchange Modelmentioning

confidence: 99%

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The hidden-charm pentaquark and tetraquark states

et al. 2016

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In the past decade many charmonium-like states were observed experimentally. Especially those charged charmoniumlike Z c states and bottomonium-like Z b states can not be accommodated within the naive quark model. These charged Z c states are good candidates of either the hidden-charm tetraquark states or molecules composed of a pair of charmed mesons. Recently, the LHCb Collaboration discovered two hidden-charm pentaquark states, which are also beyond the quark model. In this work, we review the current experimental progress and investigate various theoretical interpretations of these candidates of the multiquark states. We list the puzzles and theoretical challenges of these models when confronted with the experimental data. We also discuss possible future measurements which may distinguish the theoretical schemes on the underlying structures of the hidden-charm multiquark states.

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Section: A Short Summarymentioning

confidence: 99%

Section: The Meson Exchange Modelmentioning

confidence: 99%

“…[201] and was reexamined in Refs. [202,203] by a dynamical calculation. Later, more charged states Z b (10610), Z b (10650) and Z c (3900) were reported.…”

Section: +5mentioning

confidence: 99%

“…Otherwise, such a formalism is not self-consistent. In other words, the form factor is introduced to cut off the ultraviolet contribution [203].…”

Section: The Meson Exchange Modelmentioning

confidence: 99%

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The hidden-charm pentaquark and tetraquark states

et al. 2016

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“…Hence, the coefficient C = ±1 represent C-even and -odd parity respectively, which are different from that of Ref. [4,3,24], since we use normal convention of PDG [25] i.e. B 0 = db andB 0 =db.…”

Section: Wave Functionmentioning

confidence: 99%

Possible interpretation of theZ_b(10610) andZ_b(10650) in a chiral quark model

Yang

Ping

Deng

et al. 2012

J. Phys. G: Nucl. Part. Phys.

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Abstract. Motivated by the two charged bottomonium-like resonances Z b (10610) and Z b (10650) newly observed by the Belle collaboration, the possible molecular states composed of a pair of heavy mesons, BB, BB * , B * B * , B sB , etc (in S-wave), are investigated in the framework of chiral quark models by the Gaussian expansion method. The bound states BB * and B * B * with quantum numbers I(J P C ) = 1(1 +− ), which are good candidates for the Z b (10610) and Z b (10650) respectively, are obtained. Other three bound states BB * with I(J P C ) = 0(1 ++ ), B * B * with I(J P C ) = 1(0 ++ ), 0(2 ++ ) are predicted. These states may be observed in open-bottom or hiddenbottom decay channel of highly excited Υ. When extending directly the quark model to the hidden color channel of the multi-quark system, more deeply bound states are found. Future experimental search of those states will cast doubt on the validity of applying the chiral constituent quark model to the hidden color channel directly.

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Compounding Meta‐Atoms into Metamolecules with Hybrid Artificial Intelligence Techniques

et al. 2019

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controllability of light due to the limited flexibility rendered in periodic metastructures of simple unit cells. To overcome these deficiencies, metasurfaces comprised of multiple meta-atoms, such as gradient and multilayered metasurfaces, have been proposed and developed. [7][8][9] Relying on the collective effects of multiple meta-atoms, these metasurfaces present intriguing properties such as anomalous deflection, [7,10] arbitrary phase control, asymmetric polarization conversion, [8,11] wave-front shaping, [12][13][14] etc., which brings about extensive applications for imaging, optical signal processing, emission control, and much more. Here in our following discussion, we refer to unit cells composed of various meta-atoms as metamolecules, analogous to the hierarchical relationship between atoms and molecules in nature. In our definition of a metamolecule, we assume every two adjacent meta-atoms are not strongly coupled, in which case the overall properties of the metamolecule can be analytically predicted by the properties of its constituent meta-atoms. Such an assumption is valid in most metasurfaces that consist discrete, spatially variant building blocks.Despite the extraordinary properties of metasurfaces made up of metamolecules, designing multiple meta-atoms that collectively function as a device is a time-consuming task that requires labor-intensive trial-and-error simulations. The difficulty of the inverse design of such metamolecules arises from the intricate mechanisms of multistructured systems, the vast number of possible combinations of distinct meta-atoms, as well as the expensive 3D full wave simulations required. Traditionally, a practical solution to such a design follows three steps: 1) specifying a class of geometry with a few parameters as candidate meta-atoms, 2) carrying out parametric sweeps on these parameters, and 3) enumerating possible combinations of meta-atoms to meet the design objective. However, the limitation of the geometry in the strategy largely restricts the variety of the shapes of meta-atoms, which usually does not lead to an optimal solution, even after extensive and expensive simulations.Alongside the evolution of nanophotonics, various methods for expediting the design of photonic structures have been developed. Gradient-based adjoint methods, such as topology optimization, are a class of widely applied approaches for Molecules composed of atoms exhibit properties not inherent to their constituent atoms. Similarly, metamolecules consisting of multiple meta-atoms possess emerging features that the meta-atoms themselves do not possess. Metasurfaces composed of metamolecules with spatially variant building blocks, such as gradient metasurfaces, are drawing substantial attention due to their unconventional controllability of the amplitude, phase, and frequency of light. However, the intricate mechanisms and the large degrees of freedom of the multielement systems impede an effective strategy for the design and optimization of metamolecules. Here, a hybrid artificial-i...

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Z+(4430)as aD1′D*(
Xiang Liu
¹
,
Yan‐Rui Liu
²
,
Wubing Deng
³

et al.

Cited by 123 publications

References 22 publications

The hidden-charm pentaquark and tetraquark states

The hidden-charm pentaquark and tetraquark states

Possible interpretation of theZ_b(10610) andZ_b(10650) in a chiral quark model

Compounding Meta‐Atoms into Metamolecules with Hybrid Artificial Intelligence Techniques

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Z+(4430)as aD1′D*(Xiang Liu1, Yan‐Rui Liu2, Wubing Deng3 et al.

Cited by 123 publications

References 22 publications

The hidden-charm pentaquark and tetraquark states

The hidden-charm pentaquark and tetraquark states

Possible interpretation of theZb(10610) andZb(10650) in a chiral quark model

Compounding Meta‐Atoms into Metamolecules with Hybrid Artificial Intelligence Techniques

Contact Info

Product

Resources

About

Z+(4430)as aD1′D*(
Xiang Liu
¹
,
Yan‐Rui Liu
²
,
Wubing Deng
³

et al.

Possible interpretation of theZ_b(10610) andZ_b(10650) in a chiral quark model