Combined analysis on nature of X(3960), $$\chi _{c0}(3930)$$ χ c 0 ( 3930 ) , and $$X_0(4140)$$ X 0 ( 4140 )
Abstract In this work, a study of the $$D_s{\bar{D}}_s$$ D s D ¯ s interaction and its couplings to the channels $$D{\bar{D}}$$ D D ¯ and $$J/\psi \phi $$ J / ψ ϕ is performed in a quasipotential Bethe–Salpeter equation approach. The $$D_s^+{D}_s^-$$ D s + D s - and $$D^+{D}^-$$ D + D - invariant ma...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-09-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11977-y |
| _version_ | 1827781104941137920 |
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| author | Zuo-ming Ding Jun He |
| author_facet | Zuo-ming Ding Jun He |
| author_sort | Zuo-ming Ding |
| collection | DOAJ |
| description | Abstract In this work, a study of the $$D_s{\bar{D}}_s$$ D s D ¯ s interaction and its couplings to the channels $$D{\bar{D}}$$ D D ¯ and $$J/\psi \phi $$ J / ψ ϕ is performed in a quasipotential Bethe–Salpeter equation approach. The $$D_s^+{D}_s^-$$ D s + D s - and $$D^+{D}^-$$ D + D - invariant mass spectra in three-body B decays are investigated in order to understand the origin of X(3960), $$\chi _{c0}(3930)$$ χ c 0 ( 3930 ) , and $$X_0(4140)$$ X 0 ( 4140 ) structures reported at LHCb. With the help of effective Lagrangians, the potential kernel can be constructed with meson exchanges, from which the scattering amplitudes can be obtained. By inserting it into the three-body decay processes, the invariant mass spectra can be calculated with an additional Breit–Wigner resonance introduced. The $$D_s^+{D}_s^-$$ D s + D s - invariant mass spectrum in the decay process $$B^+\rightarrow D^+_sD^-_sK^+$$ B + → D s + D s - K + is well reproduced, and the X(3960) structure can be explained as a molecular state from the $$D_s{\bar{D}}_s$$ D s D ¯ s interaction. The state also exhibits as a peak in the $$D^+{D}^-$$ D + D - invariant mass spectrum in the decay $$B^+\rightarrow D^+D^-K^+$$ B + → D + D - K + , however, it is too narrow to reproduce the experimental structure around 3930 MeV. The dip around 4140 MeV in the $$D_s^+{D}_s^-$$ D s + D s - invariant mass spectrum can be reproduced by the additional resonance with interference effect. However, a small bump instead of a dip is produced from the $$D_s{\bar{D}}_s-J/\psi \phi $$ D s D ¯ s - J / ψ ϕ coupled-channel effect, which suggests that the $$X_0(4140)$$ X 0 ( 4140 ) cannot be interpreted as the $$D_s{\bar{D}}_s-J/\psi \phi $$ D s D ¯ s - J / ψ ϕ coupling in the current model. |
| first_indexed | 2024-03-11T15:13:06Z |
| format | Article |
| id | doaj.art-c3bd170ee5014d8490b39307b6623f3c |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-11T15:13:06Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-c3bd170ee5014d8490b39307b6623f3c2023-10-29T12:34:30ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-09-018391810.1140/epjc/s10052-023-11977-yCombined analysis on nature of X(3960), $$\chi _{c0}(3930)$$ χ c 0 ( 3930 ) , and $$X_0(4140)$$ X 0 ( 4140 )Zuo-ming Ding0Jun He1School of Physics and Technology, Nanjing Normal UniversitySchool of Physics and Technology, Nanjing Normal UniversityAbstract In this work, a study of the $$D_s{\bar{D}}_s$$ D s D ¯ s interaction and its couplings to the channels $$D{\bar{D}}$$ D D ¯ and $$J/\psi \phi $$ J / ψ ϕ is performed in a quasipotential Bethe–Salpeter equation approach. The $$D_s^+{D}_s^-$$ D s + D s - and $$D^+{D}^-$$ D + D - invariant mass spectra in three-body B decays are investigated in order to understand the origin of X(3960), $$\chi _{c0}(3930)$$ χ c 0 ( 3930 ) , and $$X_0(4140)$$ X 0 ( 4140 ) structures reported at LHCb. With the help of effective Lagrangians, the potential kernel can be constructed with meson exchanges, from which the scattering amplitudes can be obtained. By inserting it into the three-body decay processes, the invariant mass spectra can be calculated with an additional Breit–Wigner resonance introduced. The $$D_s^+{D}_s^-$$ D s + D s - invariant mass spectrum in the decay process $$B^+\rightarrow D^+_sD^-_sK^+$$ B + → D s + D s - K + is well reproduced, and the X(3960) structure can be explained as a molecular state from the $$D_s{\bar{D}}_s$$ D s D ¯ s interaction. The state also exhibits as a peak in the $$D^+{D}^-$$ D + D - invariant mass spectrum in the decay $$B^+\rightarrow D^+D^-K^+$$ B + → D + D - K + , however, it is too narrow to reproduce the experimental structure around 3930 MeV. The dip around 4140 MeV in the $$D_s^+{D}_s^-$$ D s + D s - invariant mass spectrum can be reproduced by the additional resonance with interference effect. However, a small bump instead of a dip is produced from the $$D_s{\bar{D}}_s-J/\psi \phi $$ D s D ¯ s - J / ψ ϕ coupled-channel effect, which suggests that the $$X_0(4140)$$ X 0 ( 4140 ) cannot be interpreted as the $$D_s{\bar{D}}_s-J/\psi \phi $$ D s D ¯ s - J / ψ ϕ coupling in the current model.https://doi.org/10.1140/epjc/s10052-023-11977-y |
| spellingShingle | Zuo-ming Ding Jun He Combined analysis on nature of X(3960), $$\chi _{c0}(3930)$$ χ c 0 ( 3930 ) , and $$X_0(4140)$$ X 0 ( 4140 ) European Physical Journal C: Particles and Fields |
| title | Combined analysis on nature of X(3960), $$\chi _{c0}(3930)$$ χ c 0 ( 3930 ) , and $$X_0(4140)$$ X 0 ( 4140 ) |
| title_full | Combined analysis on nature of X(3960), $$\chi _{c0}(3930)$$ χ c 0 ( 3930 ) , and $$X_0(4140)$$ X 0 ( 4140 ) |
| title_fullStr | Combined analysis on nature of X(3960), $$\chi _{c0}(3930)$$ χ c 0 ( 3930 ) , and $$X_0(4140)$$ X 0 ( 4140 ) |
| title_full_unstemmed | Combined analysis on nature of X(3960), $$\chi _{c0}(3930)$$ χ c 0 ( 3930 ) , and $$X_0(4140)$$ X 0 ( 4140 ) |
| title_short | Combined analysis on nature of X(3960), $$\chi _{c0}(3930)$$ χ c 0 ( 3930 ) , and $$X_0(4140)$$ X 0 ( 4140 ) |
| title_sort | combined analysis on nature of x 3960 chi c0 3930 χ c 0 3930 and x 0 4140 x 0 4140 |
| url | https://doi.org/10.1140/epjc/s10052-023-11977-y |
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