The BESIII Collaboration has recently reported a new resonance structure in the cross-section analyses of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy="false">→</mo><mi>ρ</mi><mi>π</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy="false">→</mo><mi>ρ</mi><mo stretchy="false">(</mo><mn>1450</mn><mo stretchy="false">)</mo><mi>π</mi></math> processes, displaying characteristics akin to an <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ω</mi></math> meson. However, its measured mass, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>M</mi><mo>=</mo><mn>2119</mn><mo>±</mo><mn>11</mn><mo>±</mo><mn>15</mn><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math>, significantly deviates from the predictions of the unquenched relativized potential model for conventional <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ω</mi></math> vector meson spectroscopy. To address this discrepancy, we propose a <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>4</mn><mi>S</mi><mo>−</mo><mn>3</mn><mi>D</mi></math> mixing scheme and investigate the corresponding decay properties within this framework. Our analysis demonstrates that the mixed state <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>ω</mi><mrow><mn>4</mn><mi>S</mi><mo>−</mo><mn>3</mn><mi>D</mi></mrow><mo>′</mo></msubsup></math> exhibits excellent agreement with the observed resonance, not only in mass and width but also in the products of its dielectron width and branching ratios, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msubsup><mrow><mi mathvariant="normal">Γ</mi></mrow><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow><mrow><mi mathvariant="script">R</mi></mrow></msubsup><mo>×</mo><msub><mrow><mi mathvariant="script">B</mi></mrow><mrow><mi mathvariant="script">R</mi><mo stretchy="false">→</mo><mi>ρ</mi><mi>π</mi></mrow></msub></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msubsup><mrow><mi mathvariant="normal">Γ</mi></mrow><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo></mrow></msup></mrow><mrow><mi mathvariant="script">R</mi></mrow></msubsup><mo>×</mo><msub><mrow><mi mathvariant="script">B</mi></mrow><mrow><mi mathvariant="script">R</mi><mo stretchy="false">→</mo><mi>ρ</mi><mo stretchy="false">(</mo><mn>1450</mn><mo stretchy="false">)</mo><mi>π</mi><mo stretchy="false">→</mo><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>π</mi></mrow><mrow><mo>−</mo></mrow></msup><msup><mrow><mi>π</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow></msub></mrow></math>. The determined mixing angle, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>θ</mi><mo>=</mo><mo>−</mo><mrow><mo stretchy="false">(</mo><msubsup><mrow><mn>31.1</mn></mrow><mrow><mo>−</mo><mn>3.1</mn></mrow><mrow><mo>+</mo><mn>2.1</mn></mrow></msubsup><mo stretchy="false">)</mo></mrow><mi>°</mi></mrow></math>, strongly supports the interpretation of this structure as the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>ω</mi><mrow><mn>4</mn><mi>S</mi><mo>−</mo><mn>3</mn><mi>D</mi></mrow><mo>′</mo></msubsup></math> state. Furthermore, we predict dominant decay channels for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>ω</mi><mrow><mn>4</mn><mi>S</mi><mo>−</mo><mn>3</mn><mi>D</mi></mrow><mo>′</mo></msubsup></math> and its partner state <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>ω</mi><mrow><mn>4</mn><mi>S</mi><mo>−</mo><mn>3</mn><mi>D</mi></mrow><mrow><mo>′′</mo></mrow></msubsup></math>. These predictions, together with the proposed mixing mechanism, provide crucial guidance for future experimental studies aimed at probing this structure and rigorously testing the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>4</mn><mi>S</mi><mo>−</mo><mn>3</mn><mi>D</mi></math> mixing hypothesis.

China

Zi-Yue Bai

Qin-Song Zhou

Xiang Liu

Role of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>4</mn><mi>S</mi><mo>−</mo><mn>3</mn><mi>D</mi></math> mixing in explaining the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ω</mi></math>-like <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Y</mi><mo stretchy="false">(</mo><mn>2119</mn><mo stretchy="false">)</mo></math> observed in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy="false">→</mo><mi>ρ</mi><mi>π</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ρ</mi><mo stretchy="false">(</mo><mn>1450</mn><mo stretchy="false">)</mo><mi>π</mi></math>

In this work a comprehensive analysis of the mass spectrum and decay properties of charmonium states within a relativistic framework is carried out. The present experimental status of charmonium states is reviewed. Utilizing a screened potential model, we compute the spectra and various decay widths for the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>c</mi><mover accent="true"><mi>c</mi><mo stretchy="false">¯</mo></mover></math> bound system, comparing our results with experimental data and existing theoretical models. We calculate the decay constants, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>E</mi><mn>1</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>M</mi><mn>1</mn></math> transitions, and annihilation decay widths, confirming the consistency of our model with experimental observations for well-established charmonium states. The interpretation of charmoniumlike states <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>X</mi><mo stretchy="false">(</mo><mn>4140</mn><mo stretchy="false">)</mo></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>X</mi><mo stretchy="false">(</mo><mn>4274</mn><mo stretchy="false">)</mo></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>X</mi><mo stretchy="false">(</mo><mn>4500</mn><mo stretchy="false">)</mo></math> as <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>P</mi></math>-wave charmonium states and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ψ</mi><mo stretchy="false">(</mo><mn>4040</mn><mo stretchy="false">)</mo></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ψ</mi><mo stretchy="false">(</mo><mn>3770</mn><mo stretchy="false">)</mo></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ψ</mi><mo stretchy="false">(</mo><mn>4160</mn><mo stretchy="false">)</mo></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ψ</mi><mo stretchy="false">(</mo><mn>4230</mn><mo stretchy="false">)</mo></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ψ</mi><mo stretchy="false">(</mo><mn>4360</mn><mo stretchy="false">)</mo></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>ψ</mi><mo stretchy="false">(</mo><mn>4415</mn><mo stretchy="false">)</mo></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Y</mi><mo stretchy="false">(</mo><mn>4500</mn><mo stretchy="false">)</mo></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Y</mi><mo stretchy="false">(</mo><mn>4360</mn><mo stretchy="false">)</mo></math> as <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mo>−</mo><mi>D</mi></math> mixed charmonium states is carried out.

India

Chaitanya Anil Bokade

 Bhaghyesh

Conventional and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>X</mi><mi>Y</mi><mi>Z</mi></mrow></math> charmonium states in a relativistic screened potential model

In the present work, we investigate the production of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>X</mi><mo stretchy="false">(</mo><mn>4630</mn><mo stretchy="false">)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Y</mi><mo stretchy="false">(</mo><mn>4626</mn><mo stretchy="false">)</mo></math> in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>B</mi><mo>+</mo></msup></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>B</mi><mi>s</mi><mn>0</mn></msubsup></math> decays, where <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>X</mi><mo stretchy="false">(</mo><mn>4630</mn><mo stretchy="false">)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Y</mi><mo stretchy="false">(</mo><mn>4626</mn><mo stretchy="false">)</mo></math> are considered as the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>C</mi></mrow></math>- parity pigeon pair in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>D</mi><mi>s</mi><mrow><mo>*</mo><mo>+</mo></mrow></msubsup><msub><mi>D</mi><mrow><mi>s</mi><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mn>2536</mn><msup><mo stretchy="false">)</mo><mo>−</mo></msup></math> molecular frame. The branching fractions of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>B</mi><mo>+</mo></msup><mo stretchy="false">→</mo><msup><mi>K</mi><mo>+</mo></msup><mi>X</mi><mo stretchy="false">(</mo><mn>4630</mn><mo stretchy="false">)</mo><mo>/</mo><mi>Y</mi><mo stretchy="false">(</mo><mn>4626</mn><mo stretchy="false">)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>B</mi><mi>s</mi><mn>0</mn></msubsup><mo stretchy="false">→</mo><mi>η</mi><mi>X</mi><mo stretchy="false">(</mo><mn>4630</mn><mo stretchy="false">)</mo><mo>/</mo><mi>Y</mi><mo stretchy="false">(</mo><mn>4626</mn><mo stretchy="false">)</mo></math> have been evaluated using an effective Lagrangian approach, which are of the order of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mn>10</mn><mrow><mo>−</mo><mn>5</mn></mrow></msup></math> and the ratios of these branching fractions are almost independent on the model parameter. Based on the present estimations, we propose to search <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Y</mi><mo stretchy="false">(</mo><mn>4626</mn><mo stretchy="false">)</mo></math> in the process <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>B</mi><mo>+</mo></msup><mo stretchy="false">→</mo><msup><mi>K</mi><mo>+</mo></msup><mi>J</mi><mo>/</mo><mi>ψ</mi><msup><mi>η</mi><mrow><mo stretchy="false">(</mo><mo>′</mo><mo stretchy="false">)</mo></mrow></msup></math>, which should be accessible by the LHCb and Belle II Collaborations.

Zhuo Yu

Qi Wu

Dian-Yong Chen

<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>X</mi><mo stretchy="false">(</mo><mn>4630</mn><mo stretchy="false">)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Y</mi><mo stretchy="false">(</mo><mn>4626</mn><mo stretchy="false">)</mo></math> production in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>B</mi><mo>+</mo></msup></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>B</mi><mi>s</mi><mn>0</mn></msubsup></math> decays

In this work, we investigate the hidden charm decays properties of <math><mrow><mi>Y</mi><mo>(</mo><mn>4626</mn><mo>)</mo></mrow></math>, where <math><mrow><mi>Y</mi><mo>(</mo><mn>4626</mn><mo>)</mo></mrow></math> is assigned as a <math><mrow><mi>S</mi><mo>−</mo></mrow></math>wave <math><mrow><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow><mrow><mo>*</mo><mo>+</mo></mrow></msubsup><msub><mrow><mi>D</mi></mrow><mrow><mi>s</mi><mn>1</mn></mrow></msub><mo>(</mo><mn>2536</mn><msup><mrow><mo>)</mo></mrow><mrow><mo>−</mo></mrow></msup></mrow></math> molecular state with <math><mrow><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mrow><mn>1</mn></mrow><mrow><mo>−</mo><mo>−</mo></mrow></msup></mrow></math>. The partial widths of the processes <math><mrow><mi>Y</mi><mo>(</mo><mn>4626</mn><mo>)</mo><mo>→</mo><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>η</mi></mrow></math>, <math><mrow><mi>J</mi><mo>/</mo><mi>ψ</mi><msup><mrow><mi>η</mi></mrow><mrow><mo>′</mo></mrow></msup></mrow></math>, <math><mrow><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub><mi>ϕ</mi></mrow></math>, and <math><mrow><msub><mrow><mi>χ</mi></mrow><mrow><mi>c</mi><mi>J</mi></mrow></msub><mi>ϕ</mi><mo>,</mo><mo>(</mo><mi>J</mi><mo>=</mo><mo>{</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>}</mo><mo>)</mo></mrow></math> are estimated by employing the effective Lagrangian approach. The present estimations indicate that the partial widths of the <math><mi>J</mi><mo>/</mo><mi>ψ</mi><mi>η</mi></math> and <math><mi>J</mi><mo>/</mo><mi>ψ</mi><msup><mi>η</mi><mo>′</mo></msup></math> channels are of the order of 1 MeV, while the one of <math><msub><mi>χ</mi><mrow><mi>c</mi><mn>1</mn></mrow></msub><mi>ϕ</mi></math> is of the order of 0.1 MeV. Thus, we propose to further examine the molecular interpretation of <math><mi>Y</mi><mo>(</mo><mn>4626</mn><mo>)</mo></math> by searching it in the cross sections for the <math><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo>→</mo><mi>J</mi><mo>/</mo><mi>ψ</mi><msup><mi>η</mi><mrow><mo>(</mo><mo>′</mo><mo>)</mo></mrow></msup></math> processes, which should be accessible by the BES III and Belle II.

Zi-Li Yue

Yue Pan

Hidden charm decays of <math><mrow><mi>Y</mi><mo>(</mo><mn>4626</mn><mo>)</mo></mrow></math> in a <math><mrow><msubsup><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow><mrow><mo>*</mo><mo>+</mo></mrow></msubsup><msub><mrow><mi>D</mi></mrow><mrow><mi>s</mi><mn>1</mn></mrow></msub><mo>(</mo><mn>2536</mn><msup><mrow><mo>)</mo></mrow><mrow><mo>−</mo></mrow></msup></mrow></math> molecular frame

The two excited vector charmonium states <math><mi>Y</mi><mo>(</mo><mn>4220</mn><mo>)</mo></math> and <math><mi>Y</mi><mo>(</mo><mn>4360</mn><mo>)</mo></math> are difficult to understand as pure <math><mi>c</mi><mover><mi>c</mi><mo>¯</mo></mover></math> charmonium states. Since they are located close to the mass thresholds of <math><mover><mi>D</mi><mo>¯</mo></mover><msub><mi>D</mi><mn>1</mn></msub></math> and <math><msup><mover><mi>D</mi><mo>¯</mo></mover><mo>*</mo></msup><msub><mi>D</mi><mn>1</mn></msub></math>, they can be viewed as <math><mover><mi>D</mi><mo>¯</mo></mover><msub><mi>D</mi><mn>1</mn></msub></math> and <math><msup><mover><mi>D</mi><mo>¯</mo></mover><mo>*</mo></msup><msub><mi>D</mi><mn>1</mn></msub></math> molecules. Furthermore, recent studies indicate that the exotic states <math><mi>X</mi><mo>(</mo><mn>3872</mn><mo>)</mo><mo>/</mo><msub><mi>Z</mi><mi>c</mi></msub><mo>(</mo><mn>3900</mn><mo>)</mo></math> and <math><msub><mi>X</mi><mn>2</mn></msub><mo>(</mo><mn>4013</mn><mo>)</mo><mo>/</mo><msub><mi>Z</mi><mi>c</mi></msub><mo>(</mo><mn>4020</mn><mo>)</mo></math> are the isoscalar/isovector <math><mover><mi>D</mi><mo>¯</mo></mover><msup><mi>D</mi><mo>*</mo></msup></math> and isoscalar/isovector <math><msup><mover><mi>D</mi><mo>¯</mo></mover><mo>*</mo></msup><msup><mi>D</mi><mo>*</mo></msup></math> molecules, respectively. In this work, in the molecular picture, we employ the triangle diagram mechanism to study the productions of <math><msub><mi>Z</mi><mi>c</mi></msub><mo>(</mo><mn>3900</mn><mo>)</mo></math> and <math><mi>X</mi><mo>(</mo><mn>3872</mn><mo>)</mo></math> in the pionic and radiative decays of <math><mi>Y</mi><mo>(</mo><mn>4220</mn><mo>)</mo></math>, as well as their heavy-quark spin symmetry partners—i.e., the productions of <math><msub><mi>Z</mi><mi>c</mi></msub><mo>(</mo><mn>4020</mn><mo>)</mo></math> and <math><msub><mi>X</mi><mn>2</mn></msub><mo>(</mo><mn>4013</mn><mo>)</mo></math> in the pionic and radiative decays of <math><mi>Y</mi><mo>(</mo><mn>4360</mn><mo>)</mo></math>. Using the effective Lagrangian approach, we obtain the ratios of the branching fractions <math><mi>B</mi><mo>[</mo><mi>Y</mi><mo>(</mo><mn>4360</mn><mo>)</mo><mo>→</mo><msub><mi>Z</mi><mi>c</mi></msub><mo>(</mo><mn>4020</mn><mo>)</mo><mi>π</mi><mo>]</mo><mo>/</mo><mi>B</mi><mo>[</mo><mi>Y</mi><mo>(</mo><mn>4220</mn><mo>)</mo><mo>→</mo><msub><mi>Z</mi><mi>c</mi></msub><mo>(</mo><mn>3900</mn><mo>)</mo><mi>π</mi><mo>]</mo><mo>=</mo><mn>1.2</mn><mrow><mo>±</mo><mn>0.3</mn></mrow></math> and <math><mi>B</mi><mo>[</mo><mi>Y</mi><mo>(</mo><mn>4360</mn><mo>)</mo><mo>→</mo><msub><mi>X</mi><mn>2</mn></msub><mo>(</mo><mn>4013</mn><mo>)</mo><mi>γ</mi><mo>]</mo><mo>/</mo><mi>B</mi><mo>[</mo><mi>Y</mi><mo>(</mo><mn>4220</mn><mo>)</mo><mo>→</mo><mi>X</mi><mo>(</mo><mn>3872</mn><mo>)</mo><mi>γ</mi><mo>]</mo><mo>=</mo><mn>0.5</mn><mrow><mo>±</mo><mn>0.1</mn></mrow></math>, almost independent of model parameters, which indicate that the productions of <math><msub><mi>X</mi><mn>2</mn></msub><mo>(</mo><mn>4013</mn><mo>)</mo></math> and <math><msub><mi>Z</mi><mi>c</mi></msub><mo>(</mo><mn>4020</mn><mo>)</mo></math> in the radiative and pionic decays of <math><mi>Y</mi><mo>(</mo><mn>4360</mn><mo>)</mo></math> are likely to be measured in the future. The experimental studies of the predicted decay modes will help to verify the molecular nature of <math><mi>X</mi><mo>(</mo><mn>3872</mn><mo>)</mo></math>, <math><msub><mi>Z</mi><mi>c</mi></msub><mo>(</mo><mn>3900</mn><mo>)</mo></math>, and <math><mi>Y</mi><mo>(</mo><mn>4220</mn><mo>)</mo></math>. We hope that the present work can stimulate experimental and further theoretical studies on these decay modes.

Ming-Zhu Liu

Xi-Zhe Ling

Li-Sheng Geng

Productions of <math><mrow><mi>X</mi><mo>(</mo><mn>3872</mn><mo>)</mo><mo>/</mo><msub><mrow><mi>Z</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>(</mo><mn>3900</mn><mo>)</mo></mrow></math> and <math><mrow><msub><mrow><mi>X</mi></mrow><mn>2</mn></msub><mo>(</mo><mn>4013</mn><mo>)</mo><mo>/</mo><msub><mrow><mi>Z</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>(</mo><mn>4020</mn><mo>)</mo></mrow></math> in <math><mi>Y</mi><mo>(</mo><mn>4220</mn><mo>)</mo></math> and <math><mi>Y</mi><mo>(</mo><mn>4360</mn><mo>)</mo></math> decays

The Bell nonlocality and entanglement are two kinds of quantum correlations in quantum systems. Due to the recent upgrade in the Beijing Spectrometer III (BESIII) experiment, it is possible to explore the nonlocality and entanglement in hyperon-antihyperon systems produced in electron-positron annihilation with high precision data. We provide a systematic method for studying quantum correlations in spin-<math><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math> hyperon-antihyperon systems through the measures for the nonlocality and entanglement. We find that with nonvanishing polarizations of the hyperon and its antihyperon, the kinematic region of nonlocality in the hyperon-antihyperon system is more restricted than the <math><msup><mi>τ</mi><mo>+</mo></msup><msup><mi>τ</mi><mo>−</mo></msup></math> system in which polarizations of <math><mi>τ</mi></math> leptons are vanishing. We also present an experimental proposal to probe the nonlocality and entanglement in hyperon-antihyperon systems at BSEIII.

Sihao Wu

Chen Qian

Qun Wang

Xiao-Rong Zhou

Bell nonlocality and entanglement in <math><mrow><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo></mrow></msup><mo>→</mo><mi>Y</mi><mover><mrow><mi>Y</mi></mrow><mrow><mo>¯</mo></mrow></mover></mrow></math> at BESIII

Inclusive production processes will be important for the first observations of <math><mi>X</mi><mi>Y</mi><mi>Z</mi></math> states at new generation electron-hadron colliders, as they generally benefit from larger cross sections than their exclusive counterparts. We make predictions of semi-inclusive photoproduction of the <math><msub><mi>χ</mi><mrow><mi>c</mi><mn>1</mn></mrow></msub><mo>(</mo><mn>1</mn><mi>P</mi><mo>)</mo></math> and <math><mi>X</mi><mo>(</mo><mn>3872</mn><mo>)</mo></math>, whose peripheral production is assumed to be dominated by vector exchanges. We validate the applicability of vector meson dominance in the axial-vector charmonium sector and calculate production rates at center-of-mass energies relevant for future experimental facilities. We find the semi-inclusive cross sections near the threshold to be enhanced by a factor of <math><mo>∼</mo><mn>2</mn><mi>–</mi><mn>3</mn></math> compared to the exclusive reaction and well-suited for a first observation in photoproduction.

Germany

D. Winney

Italy

A. Pilloni

Spain

R. J. Perry

Poland

Ł. Bibrzycki

C. Fernández-Ramírez

N. Hammoud

V. Mathieu

United States

G. Montaña

A. Rodas

V. Shastry

W. A. Smith

A. P. Szczepaniak

<math><mi>X</mi><mi>Y</mi><mi>Z</mi></math> spectroscopy at electron-hadron facilities. III. Semi-inclusive processes with vector exchange

Vectorlike quarks have been predicted in various new physics scenarios beyond the Standard Model. In a simplified modelling of a <math><mo>(</mo><mi>B</mi><mo>,</mo><mi>Y</mi><mo>)</mo></math> doublet including a vectorlike quark <math><mi>Y</mi></math>, with charge <math><mrow><mo>−</mo><mfrac><mrow><mn>4</mn></mrow><mrow><mn>3</mn></mrow></mfrac><mi>e</mi></mrow></math>, there are only two free parameters: the <math><mi>Y</mi></math> coupling <math><msub><mi>κ</mi><mi>Y</mi></msub></math> and mass <math><msub><mi>m</mi><mi>Y</mi></msub></math>. In the five flavor scheme, we investigate the single production of the <math><mi>Y</mi></math> state decaying into <math><mi>W</mi><mi>b</mi></math> at the Large Hadron Collider (LHC) run-III and High-Luminosity LHC (HL-LHC) operating at <math><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>14</mn><mtext> </mtext><mtext> </mtext><mi>TeV</mi></math>, the possible High-Energy LHC (HE-LHC) with <math><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>27</mn><mtext> </mtext><mtext> </mtext><mi>TeV</mi></math> as well as the Future Circular Collider in hadron-hadron mode (FCC-hh) with <math><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>100</mn><mtext> </mtext><mtext> </mtext><mi>TeV</mi></math>. Through detailed signal-to-background analyses and detector simulations, we assess the exclusion capabilities of the <math><mi>Y</mi></math> state at the different colliders. We find that this can be improved significantly with increasing collision energy, especially at the HE-LHC and FCC-hh, both demonstrating an obvious advantage with respect to the HL-LHC in the case of high <math><msub><mi>m</mi><mi>Y</mi></msub></math>. Assuming a 10% systematic uncertainty on the background event rate, the exclusion capabilities are summarized as follows: (1) the LHC run-III can exclude the correlated regions of <math><msub><mi>κ</mi><mi>Y</mi></msub><mo>∈</mo><mo>[</mo><mn>0.06</mn><mo>,</mo><mn>0.5</mn><mo>]</mo></math> and <math><msub><mi>m</mi><mi>Y</mi></msub><mo>∈</mo><mo>[</mo><mn>1500</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi><mo>,</mo><mn>3800</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi><mo>]</mo></math> with integrated luminosity <math><mi>L</mi><mo>=</mo><mn>300</mn><mtext> </mtext><mtext> </mtext><msup><mi>fb</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup></math>; (2) the HL-LHC can exclude the correlated regions of <math><msub><mi>κ</mi><mi>Y</mi></msub><mo>∈</mo><mo>[</mo><mn>0.05</mn><mo>,</mo><mn>0.5</mn><mo>]</mo></math> and <math><msub><mi>m</mi><mi>Y</mi></msub><mo>∈</mo><mo>[</mo><mn>1500</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi><mo>,</mo><mn>3970</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi><mo>]</mo></math> with <math><mi>L</mi><mo>=</mo><mn>3</mn><mtext> </mtext><mtext> </mtext><mrow><msup><mrow><mi>ab</mi></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></mrow></math>; (3) the HE-LHC can exclude the correlated regions of <math><msub><mi>κ</mi><mi>Y</mi></msub><mo>∈</mo><mo>[</mo><mn>0.06</mn><mo>,</mo><mn>0.5</mn><mo>]</mo></math> and <math><msub><mi>m</mi><mi>Y</mi></msub><mo>∈</mo><mo>[</mo><mn>1500</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi><mo>,</mo><mn>6090</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi><mo>]</mo></math> with <math><mi>L</mi><mo>=</mo><mn>3</mn><mtext> </mtext><mtext> </mtext><mrow><msup><mrow><mi>ab</mi></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></mrow></math>; (4) the FCC-hh can exclude the correlated regions of <math><msub><mi>κ</mi><mi>Y</mi></msub><mo>∈</mo><mo>[</mo><mn>0.08</mn><mo>,</mo><mn>0.5</mn><mo>]</mo></math> and <math><msub><mi>m</mi><mi>Y</mi></msub><mo>∈</mo><mo>[</mo><mn>1500</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi><mo>,</mo><mn>10080</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi><mo>]</mo></math> with <math><mi>L</mi><mo>=</mo><mn>3</mn><mtext> </mtext><mtext> </mtext><mrow><msup><mrow><mi>ab</mi></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></mrow></math>.

Sweden

Liangliang Shang

Yuxiao Yan

United Kingdom

Stefano Moretti

Bingfang Yang

Single production of an exotic vectorlike <math><mrow><mi>Y</mi></mrow></math> quark at future high energy <math><mi>p</mi><mi>p</mi></math> colliders

BPS algebras are the symmetries of a wide class of brane-inspired models. They are closely related to Yangians – the peculiar and somewhat sophisticated limit of DIM algebras. Still they possess some simple and explicit representations. We explain here that for $$Y(\widehat{\mathfrak {gl}}_r)$$ <math> <mrow> <mi>Y</mi> <mo>(</mo> <msub> <mover> <mi>gl</mi> <mo>^</mo> </mover> <mi>r</mi> </msub> <mo>)</mo> </mrow> </math> these representations are related to Uglov polynomials, whose families are also labeled by natural r. They arise in the limit $$\hbar {\longrightarrow } 0$$ <math> <mrow> <mi>ħ</mi> <mo>⟶</mo> <mn>0</mn> </mrow> </math> from Macdonald polynomials, and generalize the well-known Jack polynomials ( $$\beta $$ <math> <mi>β</mi> </math> -deformation of Schur functions), associated with $$r=1.$$ <math> <mrow> <mi>r</mi> <mo>=</mo> <mn>1</mn> <mo>.</mo> </mrow> </math> For $$r=2$$ <math> <mrow> <mi>r</mi> <mo>=</mo> <mn>2</mn> </mrow> </math> they approximate Macdonald polynomials with the accuracy $$O(\hbar ^2),$$ <math> <mrow> <mi>O</mi> <mo>(</mo> <msup> <mi>ħ</mi> <mn>2</mn> </msup> <mo>)</mo> <mo>,</mo> </mrow> </math> so that they are eigenfunctions of two immediately available commuting operators, arising from the $$\hbar $$ <math> <mi>ħ</mi> </math> -expansion of the first Macdonald Hamiltonian. These operators have a clear structure, which is easily generalizable, – what provides a technically simple way to build an explicit representation of Yangian $$Y(\widehat{\mathfrak {gl}}_2),$$ <math> <mrow> <mi>Y</mi> <mo>(</mo> <msub> <mover> <mi>gl</mi> <mo>^</mo> </mover> <mn>2</mn> </msub> <mo>)</mo> <mo>,</mo> </mrow> </math> where $$U^{(2)}$$ <math> <msup> <mi>U</mi> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </msup> </math> are associated with the states $$|\lambda {\rangle },$$ <math> <mrow> <mo>|</mo> <mi>λ</mi> <mo>⟩</mo> <mo>,</mo> </mrow> </math> parametrized by chess-colored Young diagrams. An interesting feature of this representation is that the odd time-variables $$p_{2n+1}$$ <math> <msub> <mi>p</mi> <mrow> <mn>2</mn> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> </math> can be expressed through mutually commuting operators from Yangian, however even time-variables $$p_{2n}$$ <math> <msub> <mi>p</mi> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </msub> </math> are inexpressible. Implications to higher r become now straightforward, yet we describe them only in a sketchy way.

Russia

Dmitry Galakhov

Alexei Morozov

Nikita Tselousov

Simple representations of BPS algebras: the case of $$Y(\widehat{\mathfrak {gl}}_2)$$ <math> <mrow> <mi>Y</mi> <mo>(</mo> <msub> <mover> <mi>gl</mi> <mo>^</mo> </mover> <mn>2</mn> </msub> <mo>)</mo> </mrow> </math>

We present new solutions of 8d gauged supergravity which, upon uplift to type IIA, represent D6 branes wrapped on spindles. A further circle uplift gives 11d supergravity on a Calabi-Yau three-fold which is the cone over five-dimensional Y  p,q  manifolds. This highlights a connection between co-homogeneity one Sasaki-Einstein metrics in general dimension and the recently introduced spindle solutions in gauged supergravity. We find that a similar connection also exists for the small resolution of the Calabi-Yau cone over such manifolds.

Pietro Ferrero

D6 branes wrapped on a spindle and Y  p,q  manifolds