Strong decays of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ to J/ψ(η c )p and D ¯ ∗ Λ c $$ {\overline{D}}^{\left(\ast \right)}{\Lambda}_c $$ within the Bethe-Salpeter framework
Abstract Based on the effective Lagrangian in the heavy quark limit, we calculate the one-boson-exchange interaction kernel of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ as the D ¯ Σ c $$ \overline{D}{\Sigma}_c $$ molecular state in isospin- 1 2 $$ \frac{1}{2} $$ . We present the Bethe-Salpeter equ...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2023)189 |
| _version_ | 1827808211917340672 |
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| author | Qiang Li Chao-Hsi Chang Tianhong Wang Guo-Li Wang |
| author_facet | Qiang Li Chao-Hsi Chang Tianhong Wang Guo-Li Wang |
| author_sort | Qiang Li |
| collection | DOAJ |
| description | Abstract Based on the effective Lagrangian in the heavy quark limit, we calculate the one-boson-exchange interaction kernel of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ as the D ¯ Σ c $$ \overline{D}{\Sigma}_c $$ molecular state in isospin- 1 2 $$ \frac{1}{2} $$ . We present the Bethe-Salpeter equation and wave function for the constituent particles to be a (pseudo)scalar meson and a 1 2 $$ \frac{1}{2} $$ baryon. By solving the Bethe-Salpeter equation, we obtain P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ as the D ¯ Σ c $$ \overline{D}{\Sigma}_c $$ molecular state with J P = 1 2 − $$ {\left(\frac{1}{2}\right)}^{-} $$ . Combining the effective Lagrangian and the obtained BS wave function, the partial decay widths of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ to J/ψp, η c p, D ¯ ∗ 0 Λ c + $$ {\overline{D}}^{\ast 0}{\Lambda}_c^{+} $$ and D ¯ 0 Λ c + $$ {\overline{D}}^0{\Lambda}_c^{+} $$ are calculated to be 0.17, 0.085, 8.8, and 0.026 MeV, respectively, which are roughly consistent with the LHCb experimental measurements and some other theoretical researches. The obtain results indicate the fraction of D ¯ ∗ 0 Λ c + $$ {\overline{D}}^{\ast 0}{\Lambda}_c^{+} $$ channel amounts to ~ 90% of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ , and is a highly promising channel to be discovered in the near future experiments. Our results favor the interpretation of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ as the D ¯ Σ c $$ \overline{D}{\Sigma}_c $$ molecular state with J P = 1 2 − $$ {\left(\frac{1}{2}\right)}^{-} $$ and isospin I = 1 2 $$ \frac{1}{2} $$ . |
| first_indexed | 2024-03-11T22:20:50Z |
| format | Article |
| id | doaj.art-48143788891f4b5498b1d761e114218a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T22:20:50Z |
| publishDate | 2023-06-01 |
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| series | Journal of High Energy Physics |
| spelling | doaj.art-48143788891f4b5498b1d761e114218a2023-09-24T11:05:52ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023612710.1007/JHEP06(2023)189Strong decays of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ to J/ψ(η c )p and D ¯ ∗ Λ c $$ {\overline{D}}^{\left(\ast \right)}{\Lambda}_c $$ within the Bethe-Salpeter frameworkQiang Li0Chao-Hsi Chang1Tianhong Wang2Guo-Li Wang3School of Physical Science and Technology, Northwestern Polytechnical UniversityCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesSchool of Physics, Harbin Institute of TechnologySchool of Physics, Harbin Institute of TechnologyAbstract Based on the effective Lagrangian in the heavy quark limit, we calculate the one-boson-exchange interaction kernel of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ as the D ¯ Σ c $$ \overline{D}{\Sigma}_c $$ molecular state in isospin- 1 2 $$ \frac{1}{2} $$ . We present the Bethe-Salpeter equation and wave function for the constituent particles to be a (pseudo)scalar meson and a 1 2 $$ \frac{1}{2} $$ baryon. By solving the Bethe-Salpeter equation, we obtain P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ as the D ¯ Σ c $$ \overline{D}{\Sigma}_c $$ molecular state with J P = 1 2 − $$ {\left(\frac{1}{2}\right)}^{-} $$ . Combining the effective Lagrangian and the obtained BS wave function, the partial decay widths of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ to J/ψp, η c p, D ¯ ∗ 0 Λ c + $$ {\overline{D}}^{\ast 0}{\Lambda}_c^{+} $$ and D ¯ 0 Λ c + $$ {\overline{D}}^0{\Lambda}_c^{+} $$ are calculated to be 0.17, 0.085, 8.8, and 0.026 MeV, respectively, which are roughly consistent with the LHCb experimental measurements and some other theoretical researches. The obtain results indicate the fraction of D ¯ ∗ 0 Λ c + $$ {\overline{D}}^{\ast 0}{\Lambda}_c^{+} $$ channel amounts to ~ 90% of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ , and is a highly promising channel to be discovered in the near future experiments. Our results favor the interpretation of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ as the D ¯ Σ c $$ \overline{D}{\Sigma}_c $$ molecular state with J P = 1 2 − $$ {\left(\frac{1}{2}\right)}^{-} $$ and isospin I = 1 2 $$ \frac{1}{2} $$ .https://doi.org/10.1007/JHEP06(2023)189Hadronic SpectroscopyStructure and InteractionsProperties of HadronsEffective Field Theories of QCD |
| spellingShingle | Qiang Li Chao-Hsi Chang Tianhong Wang Guo-Li Wang Strong decays of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ to J/ψ(η c )p and D ¯ ∗ Λ c $$ {\overline{D}}^{\left(\ast \right)}{\Lambda}_c $$ within the Bethe-Salpeter framework Journal of High Energy Physics Hadronic Spectroscopy Structure and Interactions Properties of Hadrons Effective Field Theories of QCD |
| title | Strong decays of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ to J/ψ(η c )p and D ¯ ∗ Λ c $$ {\overline{D}}^{\left(\ast \right)}{\Lambda}_c $$ within the Bethe-Salpeter framework |
| title_full | Strong decays of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ to J/ψ(η c )p and D ¯ ∗ Λ c $$ {\overline{D}}^{\left(\ast \right)}{\Lambda}_c $$ within the Bethe-Salpeter framework |
| title_fullStr | Strong decays of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ to J/ψ(η c )p and D ¯ ∗ Λ c $$ {\overline{D}}^{\left(\ast \right)}{\Lambda}_c $$ within the Bethe-Salpeter framework |
| title_full_unstemmed | Strong decays of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ to J/ψ(η c )p and D ¯ ∗ Λ c $$ {\overline{D}}^{\left(\ast \right)}{\Lambda}_c $$ within the Bethe-Salpeter framework |
| title_short | Strong decays of P ψ N 4312 + $$ {P}_{\psi}^N{(4312)}^{+} $$ to J/ψ(η c )p and D ¯ ∗ Λ c $$ {\overline{D}}^{\left(\ast \right)}{\Lambda}_c $$ within the Bethe-Salpeter framework |
| title_sort | strong decays of p ψ n 4312 p psi n 4312 to j ψ η c p and d ¯ ∗ λ c overline d left ast right lambda c within the bethe salpeter framework |
| topic | Hadronic Spectroscopy Structure and Interactions Properties of Hadrons Effective Field Theories of QCD |
| url | https://doi.org/10.1007/JHEP06(2023)189 |
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