In the present work, we propose to investigate the productions of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2910</mn><mo stretchy="false">)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2940</mn><mo stretchy="false">)</mo></math> in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>π</mi><mo>−</mo></msup><mi>p</mi><mo stretchy="false">→</mo><msup><mi>D</mi><mo>−</mo></msup><msup><mi>D</mi><mn>0</mn></msup><mi>p</mi></math> processes by utilizing an effective Lagrangian approach, where <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2910</mn><mo stretchy="false">)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2940</mn><mo stretchy="false">)</mo></math> are considered as <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>D</mi><mo>*</mo></msup><mi>N</mi></math> molecular states with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>J</mi><mi>P</mi></msup></math> quantum numbers to be <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>1</mn><mo>/</mo><msup><mn>2</mn><mo>−</mo></msup></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>3</mn><mo>/</mo><msup><mn>2</mn><mo>−</mo></msup></math>, respectively. With the cutoff parameter determined by the upper limit of the cross sections for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>π</mi><mo>−</mo></msup><mi>p</mi><mo stretchy="false">→</mo><msup><mi>D</mi><mrow><mo>*</mo><mo>−</mo></mrow></msup><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2286</mn><mo stretchy="false">)</mo></math>, the ratios of the cross sections for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>π</mi><mo>−</mo></msup><mi>p</mi><mo stretchy="false">→</mo><msup><mi>D</mi><mrow><mo>*</mo><mo>−</mo></mrow></msup><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2286</mn><mo stretchy="false">)</mo></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>π</mi><mo>−</mo></msup><mi>p</mi><mo stretchy="false">→</mo><msup><mi>D</mi><mo>−</mo></msup><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2286</mn><mo stretchy="false">)</mo></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>π</mi><mo>−</mo></msup><mi>p</mi><mo stretchy="false">→</mo><msup><mi>D</mi><mo>−</mo></msup><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2910</mn><mo stretchy="false">)</mo></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>π</mi><mo>−</mo></msup><mi>p</mi><mo stretchy="false">→</mo><msup><mi>D</mi><mo>−</mo></msup><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2940</mn><mo stretchy="false">)</mo></math> are estimated to be <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>1</mn><mo>:</mo><mn>4.8</mn><mo>:</mo><mn>1.42</mn><mo>:</mo><mn>0.26</mn></math> at <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>p</mi><mi>π</mi></msub><mo>=</mo><mn>30</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math>. Considering that the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2910</mn><mo stretchy="false">)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2940</mn><mo stretchy="false">)</mo></math> state can further decay into <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>D</mi><mn>0</mn></msup><mi>p</mi></math>, we estimate the cross sections for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>π</mi><mo>−</mo></msup><mi>p</mi><mo stretchy="false">→</mo><msup><mi>D</mi><mo>−</mo></msup><msup><mi>D</mi><mn>0</mn></msup><mi>p</mi></math> process and the differential cross sections depending on the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>D</mi><mn>0</mn></msup><mi>p</mi></math> invariant mass spectrum. Our estimations indicate that the total cross sections are <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mo stretchy="false">(</mo><mn>0.4</mn><msubsup><mn>9</mn><mrow><mo>−</mo><mn>0.38</mn></mrow><mrow><mo>+</mo><mn>1.56</mn></mrow></msubsup><mo stretchy="false">)</mo><mtext> </mtext><mtext> </mtext><mi>nb</mi></math> when <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>p</mi><mi>π</mi></msub><mo>=</mo><mn>15</mn><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math>, where the uncertainties result from the variation of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">Λ</mi><mi>r</mi></msub></math>. By comparing the contributions of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>s</mi></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>u</mi></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>t</mi></math>-channels, we conclude that the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>t</mi></math>-channel plays the predominant role. Moreover, the present estimations suggest that the structure around 2.9 GeV in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>D</mi><mn>0</mn></msup><mi>p</mi></math> invariant mass spectrum of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>π</mi><mo>−</mo></msup><mi>p</mi><mo stretchy="false">→</mo><msup><mi>D</mi><mo>−</mo></msup><msup><mi>D</mi><mn>0</mn></msup><mi>p</mi></math> process should correspond to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2910</mn><mo stretchy="false">)</mo></math> rather than <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2940</mn><mo stretchy="false">)</mo></math>, which can be tested by further experimental measurements at J-PARC in the future.

China

Quan-Yun Guo

Dian-Yong Chen

<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2910</mn><mo stretchy="false">)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi mathvariant="normal">Λ</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>2940</mn><mo stretchy="false">)</mo></math> productions in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>π</mi><mo>−</mo></msup><mi>p</mi></math> scattering process

Recently, the LHCb Collaboration has measured the processes $$B^+\rightarrow D^-D_s^+\pi ^+$$ and $$B^+\rightarrow \bar{D}^0D_s^+\pi ^+$$ , where the $$D_s^+\pi ^-$$ and $$D_s^+\pi ^+$$ invariant mass distributions show the significant signals of two new open-flavored tetraquark states $$T_{c\bar{s}}(2900)^0$$ and $$T_{c\bar{s}}(2900)^{++}$$ , as the two of the isospin triplet. In this work, we have investigated the process $$\Lambda _b\rightarrow K^0D^0\Lambda $$ by taking into account the tetraquark state $$T_{c\bar{s}}(2900)^0$$ and the intermediate nucleon resonance $$N^*(1535)$$ , which could be dynamically generated by the interactions of the $$D^*K^*/D^*_s\rho $$ and the pseudoscalar meson-octet baryon, respectively. Our results show that a clear peak of the open-flavored tetraquark $$T_{c\bar{s}}(2900)$$ may appear in the $$K^0D^0$$ invariant mass distribution of the process $$\Lambda _b\rightarrow K^0D^0\Lambda $$ , which could be tested by future experiments.

Wen-Tao Lyu

Yun-He Lyu

Man-Yu Duan

Guan-Ying Wang

En Wang

Theoretical study of the open-flavored tetraquark $$T_{c\bar{s}}(2900)$$ in the process $$\Lambda _b\rightarrow K^0D^0\Lambda $$

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

<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

The experimental observations of $$\psi _2(3823)$$ and $$\psi _3(3842)$$ make wave charmonia family abundant. In the present work, we investigate the hidden charm decay processes of spin triplets of the -wave charmonia with the meson loop mechanism. The model parameter $$\alpha _\Lambda $$ is determined by reproducing the branching fraction of $$\psi (3770)\rightarrow J/\psi \eta $$ . With this range of model parameter values, the branching fractions (partial widths) of $$\psi (3770) \rightarrow \eta _c \omega $$ , $$\psi _2(3823)/\psi _3(3842) \rightarrow J/\psi \eta $$ , $$\psi _2(3823)/\psi _3(3842) \rightarrow \eta _c \omega $$ are estimated. Our estimations find that the partial width of $$\psi _2(3823) \rightarrow J/\psi \eta $$ is $$\left( 29.64^{+4.01}_{-4.63}\right) \ \textrm{keV}$$ , and the partial width ratio of $$\psi _2(3823) \rightarrow J/\psi \eta $$ relative to $$\psi _2(3823)\rightarrow \gamma \chi _{c1}$$ is about $$10\%$$ , which could be tested by further precise measurements from the BESIII, Belle II and LHCb Collaborations.

Xiao-Yu Qi

Xing-Dao Guo

Two-body hidden charm decays of

Recently, the LHCb Collaboration has measured two decay processes $$B^0\rightarrow \bar{D}^0D_s^+\pi ^-$$ and $$B^+\rightarrow D^-D_s^+\pi ^+$$ related to isospin symmetry, where two new open-flavored tetraquark states $$T_{c\bar{s}}(2900)^0$$ and $$T_{c\bar{s}}(2900)^{++}$$ that belong to an isospin triplet were observed in the $$D_s^+\pi ^-$$ and $$D_s^+\pi ^+$$ invariant mass distributions. In this work, we have investigated the validity of the process $$\bar{B}_s^0\rightarrow K^0D^0\pi ^0$$ as the promising process to confirm the existence of $$T_{c\bar{s}}(2900)^0$$ resonance. Taking into account the tetraquark state $$T_{c\bar{s}}(2900)$$ , as well as intermediate resonances $$K^*(892)$$ , $$K_0^*(1430)$$ , and $$K_2^*(1430)$$ , it has been shown that a clear peak of the open-flavored tetraquark $$T_{c\bar{s}}(2900)$$ appears in the $$K^0D^0$$ invariant mass distribution of the process $$\bar{B}_s^0\rightarrow K^0D^0\pi ^0$$ , which could be tested by future experiments.

Spain

Xiaoyu Wang

Theoretical study of the open-flavored tetraquark $$T_{c\bar{s}}(2900)$$ in the process $$\bar{B}_s^0 \rightarrow K^0 D^0 \pi ^0$$

We study from the theoretical point of view the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi mathvariant="normal">Λ</mi><mi>c</mi><mo>+</mo></msubsup><mo stretchy="false">→</mo><msup><mi>π</mi><mo>+</mo></msup><mi>η</mi><mi mathvariant="normal">Λ</mi></math> reaction, recently measured by the Belle and BESIII Collaborations, where clear signals are observed for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>a</mi><mn>0</mn></msub><mo stretchy="false">(</mo><mn>980</mn><mo stretchy="false">)</mo></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Λ</mi><mo stretchy="false">(</mo><mn>1670</mn><mo stretchy="false">)</mo></math>, and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Σ</mi><mo stretchy="false">(</mo><mn>1385</mn><mo stretchy="false">)</mo></math> excitation. By considering the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>a</mi><mn>0</mn></msub><mo stretchy="false">(</mo><mn>980</mn><mo stretchy="false">)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Λ</mi><mo stretchy="false">(</mo><mn>1670</mn><mo stretchy="false">)</mo></math> as dynamically generated resonances from the meson meson and meson baryon interaction, respectively, we are able to determine their relative production strengths in the reaction, which is also tied to the strength of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>π</mi><mo>+</mo></msup><mi>η</mi><mi mathvariant="normal">Λ</mi></math> tree level contribution. We observe that this latter strength is very big and there are large destructive interferences between the tree level and the rescattering terms where the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>a</mi><mn>0</mn></msub><mo stretchy="false">(</mo><mn>980</mn><mo stretchy="false">)</mo></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Λ</mi><mo stretchy="false">(</mo><mn>1670</mn><mo stretchy="false">)</mo></math> are generated. The <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Σ</mi><mo stretchy="false">(</mo><mn>1385</mn><mo stretchy="false">)</mo></math> contribution is included by means of a free parameter, the only one of the theory, up to a global normalization, when one considers only external emission, and we observe that the spin flip part of this term, usually ignored in theoretical and experimental works, plays an important role determining the shape of the mass distributions. Internal emission is also considered and it is found to play a minor role.

Chu-Wen Xiao

Ju-Jun Xie

Eulogio Oset

<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msubsup><mrow><mi mathvariant="normal">Λ</mi></mrow><mrow><mi>c</mi></mrow><mrow><mo>+</mo></mrow></msubsup><mo stretchy="false">→</mo><mi>η</mi><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup><mi mathvariant="normal">Λ</mi></mrow></math> reaction and the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi mathvariant="normal">Λ</mi><msubsup><mrow><mi>a</mi></mrow><mrow><mn>0</mn></mrow><mrow><mo>+</mo></mrow></msubsup><mo stretchy="false">(</mo><mn>980</mn><mo stretchy="false">)</mo></mrow></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup><mi mathvariant="normal">Λ</mi><mo stretchy="false">(</mo><mn>1670</mn><mo stretchy="false">)</mo></mrow></math> contributions

In the present work, we propose to explore the productions of the bottom and bottom-strange mesons in the high-energy pion and kaon-induced reactions on a proton target. The cross sections are evaluated with an effective Lagrangian constructed by the heavy-quark limit and chiral symmetry. Our estimations show that at $$P_\pi =80$$ <math> <mrow> <msub> <mi>P</mi> <mi>π</mi> </msub> <mo>=</mo> <mn>80</mn> </mrow> </math> GeV, the cross sections for B(5279), $$B^*(5325)$$ <math> <mrow> <msup> <mi>B</mi> <mo>∗</mo> </msup> <mrow> <mo>(</mo> <mn>5325</mn> <mo>)</mo> </mrow> </mrow> </math> , $$B_0^*(5722)$$ <math> <mrow> <msubsup> <mi>B</mi> <mn>0</mn> <mo>∗</mo> </msubsup> <mrow> <mo>(</mo> <mn>5722</mn> <mo>)</mo> </mrow> </mrow> </math> , $$B_1^\prime (5716)$$ <math> <mrow> <msubsup> <mi>B</mi> <mn>1</mn> <mo>′</mo> </msubsup> <mrow> <mo>(</mo> <mn>5716</mn> <mo>)</mo> </mrow> </mrow> </math> , $$B_1(5721)$$ <math> <mrow> <msub> <mi>B</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mn>5721</mn> <mo>)</mo> </mrow> </mrow> </math> and $$B_2^*(5747)$$ <math> <mrow> <msubsup> <mi>B</mi> <mn>2</mn> <mo>∗</mo> </msubsup> <mrow> <mo>(</mo> <mn>5747</mn> <mo>)</mo> </mrow> </mrow> </math> production processes are estimated to be 3.19–86.26, 1.86–51.29, 0.88–24.33, 0.86–23.69, 162.35–4477.66, and 57.16–1604.43 nb, respectively, where uncertainties arise from the model parameter. In addition, the cross sections for the corresponding bottom-strange mesons production processes are very similar. From the heavy quark effective theory point of view, the ratios between the cross sections for bottom mesons and bottom-strange mesons should be similar and the present estimations are consistent with the expectation of heavy quark limit. In particular, the cross-section ratios related to the states in the same doublets are of order one. The cross sections related to the states in the T doublets are about two orders larger than those related to the states in the S doublets.

Jing Liu

Jun He

Productions of bottom and bottom-strange mesons in pion and kaon induced reactions

In the present work, we perform a coupled-channel analysis of <math><msubsup><mi>B</mi><mrow><mo>(</mo><mi>s</mi><mo>)</mo></mrow><mrow><mo>(</mo><mo>*</mo><mo>)</mo></mrow></msubsup><msubsup><mover><mi>B</mi><mo>¯</mo></mover><mrow><mo>(</mo><mi>s</mi><mo>)</mo></mrow><mrow><mo>(</mo><mo>*</mo><mo>)</mo></mrow></msubsup></math> systems with the one-boson-exchange potentials. We first study the <math><mi>I</mi><mo>(</mo><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>)</mo><mo>=</mo><mn>1</mn><mo>(</mo><msup><mn>1</mn><mrow><mo>+</mo><mo>−</mo></mrow></msup><mo>)</mo></math> <math><mi>B</mi><msup><mover><mi>B</mi><mo>¯</mo></mover><mo>*</mo></msup><mo>/</mo><msup><mi>B</mi><mo>*</mo></msup><msup><mover><mi>B</mi><mo>¯</mo></mover><mo>*</mo></msup></math> system to describe the <math><msub><mi>Z</mi><mi>b</mi></msub><mo>(</mo><mn>10610</mn><mo>)</mo></math> and <math><msub><mi>Z</mi><mi>b</mi></msub><mo>(</mo><mn>10650</mn><mo>)</mo></math> particles as molecular states and determine the reasonable range of cutoff parameter <math><mi>Λ</mi></math>. Then, other <math><msubsup><mi>B</mi><mrow><mo>(</mo><mi>s</mi><mo>)</mo></mrow><mrow><mo>(</mo><mo>*</mo><mo>)</mo></mrow></msubsup><msubsup><mover><mi>B</mi><mo>¯</mo></mover><mrow><mo>(</mo><mi>s</mi><mo>)</mo></mrow><mrow><mo>(</mo><mo>*</mo><mo>)</mo></mrow></msubsup></math> combinations with different quantum numbers are systematically investigated. Some bound states and resonances appear in the isoscalar systems, while only several shallow bound states exist for isovector systems. Far away from the excited conventional <math><mi>P</mi></math>-wave bottomium, these predicted states can be easily identified as exotic particles both theoretically and experimentally. Moreover, the <math><msub><mi>η</mi><mi>b</mi></msub><mo>(</mo><mi>n</mi><mi>S</mi><mo>)</mo><mo>/</mo><mi>ϒ</mi><mo>(</mo><mi>n</mi><mi>S</mi><mo>)</mo></math> plus light mesons are the excellent final states to search for the bound states, while the <math><mi>B</mi><msup><mover><mi>B</mi><mo>¯</mo></mover><mo>*</mo></msup><mo>+</mo><mi>H</mi><mo>.</mo><mi>c</mi><mo>.</mo></math> and <math><msup><mi>B</mi><mo>*</mo></msup><msup><mover><mi>B</mi><mo>¯</mo></mover><mo>*</mo></msup></math> channels are suitable for the resonances. We highly recommend that the LHCb and Belle II Collaborations hunt for these bottomoniumlike states in the future.

Qing-Fu Song

Qi-Fang Lü

Yu-Bing Dong

Predicting hidden bottom molecular tetraquarks with a complex scaling method

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

In the present work, we investigate the productions of $$X_0(2900)$$ <math> <mrow> <msub> <mi>X</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>2900</mn> <mo>)</mo> </mrow> </mrow> </math> and its spin partners in the $$B^+$$ <math> <msup> <mi>B</mi> <mo>+</mo> </msup> </math> decay processes, where $$X_0(2900)$$ <math> <mrow> <msub> <mi>X</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>2900</mn> <mo>)</mo> </mrow> </mrow> </math> is regarded as a $$\bar{D}^*K^*$$ <math> <mrow> <msup> <mrow> <mover> <mrow> <mi>D</mi> </mrow> <mrow> <mo>¯</mo> </mrow> </mover> </mrow> <mo>∗</mo> </msup> <msup> <mi>K</mi> <mo>∗</mo> </msup> </mrow> </math> molecular state. We infer that the initial $$B^+$$ <math> <msup> <mi>B</mi> <mo>+</mo> </msup> </math> meson and the final $$D^+ X_0(2900)$$ <math> <mrow> <msup> <mi>D</mi> <mo>+</mo> </msup> <msub> <mi>X</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>2900</mn> <mo>)</mo> </mrow> </mrow> </math> are connected through the $$D_{s1}^{\prime +}(2460) \bar{D}^{*0} $$ <math> <mrow> <msubsup> <mi>D</mi> <mrow> <mi>s</mi> <mn>1</mn> </mrow> <mrow> <mo>′</mo> <mo>+</mo> </mrow> </msubsup> <mrow> <mo>(</mo> <mn>2460</mn> <mo>)</mo> </mrow> <msup> <mrow> <mover> <mrow> <mi>D</mi> </mrow> <mrow> <mo>¯</mo> </mrow> </mover> </mrow> <mrow> <mrow></mrow> <mo>∗</mo> <mn>0</mn> </mrow> </msup> </mrow> </math> mesons by exchanging a $$K^{*0}$$ <math> <mmultiscripts> <mi>K</mi> <mrow></mrow> <mrow> <mrow></mrow> <mo>∗</mo> <mn>0</mn> </mrow> </mmultiscripts> </math> meson. The contributions of such a meson loop to the process $$B^+ \rightarrow D^+ X_0(2900)$$ <math> <mrow> <msup> <mi>B</mi> <mo>+</mo> </msup> <mo>→</mo> <msup> <mi>D</mi> <mo>+</mo> </msup> <msub> <mi>X</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>2900</mn> <mo>)</mo> </mrow> </mrow> </math> are evaluated and our estimations indicate that the measured branching fraction of $$B^+\rightarrow D^+ X_0(2900)$$ <math> <mrow> <msup> <mi>B</mi> <mo>+</mo> </msup> <mo>→</mo> <msup> <mi>D</mi> <mo>+</mo> </msup> <msub> <mi>X</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>2900</mn> <mo>)</mo> </mrow> </mrow> </math> could be well reproduced in a reasonable range of model parameters, indicating that $$X_0(2900)$$ <math> <mrow> <msub> <mi>X</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>2900</mn> <mo>)</mo> </mrow> </mrow> </math> could be interpreted as a $$\bar{D}^*K^*$$ <math> <mrow> <msup> <mrow> <mover> <mrow> <mi>D</mi> </mrow> <mrow> <mo>¯</mo> </mrow> </mover> </mrow> <mo>∗</mo> </msup> <msup> <mi>K</mi> <mo>∗</mo> </msup> </mrow> </math> molecular state. In addition, the production processes $$B^+ \rightarrow D^+ \tilde{X}_{1,2}$$ <math> <mrow> <msup> <mi>B</mi> <mo>+</mo> </msup> <mo>→</mo> <msup> <mi>D</mi> <mo>+</mo> </msup> <msub> <mover> <mi>X</mi> <mo>~</mo> </mover> <mrow> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> </math> , $$B^+ \rightarrow D^{*+} X_0(2900)$$ <math> <mrow> <msup> <mi>B</mi> <mo>+</mo> </msup> <mo>→</mo> <mmultiscripts> <mi>D</mi> <mrow></mrow> <mrow> <mrow></mrow> <mo>∗</mo> <mo>+</mo> </mrow> </mmultiscripts> <msub> <mi>X</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>2900</mn> <mo>)</mo> </mrow> </mrow> </math> , and $$B^+ \rightarrow D^{*+}\tilde{X}_{1,2}$$ <math> <mrow> <msup> <mi>B</mi> <mo>+</mo> </msup> <mo>→</mo> <mmultiscripts> <mi>D</mi> <mrow></mrow> <mrow> <mrow></mrow> <mo>∗</mo> <mo>+</mo> </mrow> </mmultiscripts> <msub> <mover> <mi>X</mi> <mo>~</mo> </mover> <mrow> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> </math> are investigated, and we find that the fit fraction of $$\tilde{X}_1$$ <math> <msub> <mover> <mi>X</mi> <mo>~</mo> </mover> <mn>1</mn> </msub> </math> in the process $$B^+ \rightarrow D^{*+} D^{*-} K^+$$ <math> <mrow> <msup> <mi>B</mi> <mo>+</mo> </msup> <mo>→</mo> <mmultiscripts> <mi>D</mi> <mrow></mrow> <mrow> <mrow></mrow> <mo>∗</mo> <mo>+</mo> </mrow> </mmultiscripts> <mmultiscripts> <mi>D</mi> <mrow></mrow> <mrow> <mrow></mrow> <mo>∗</mo> <mo>-</mo> </mrow> </mmultiscripts> <msup> <mi>K</mi> <mo>+</mo> </msup> </mrow> </math> is about 6%, which should be accessible by the LHCb and Belle II Collaborations.

$$X_0(2900)$$ <math> <mrow> <msub> <mi>X</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>2900</mn> <mo>)</mo> </mrow> </mrow> </math> and its spin partners productions in the $$B^+$$ <math> <msup> <mi>B</mi> <mo>+</mo> </msup> </math> decay processes