Molecular interpretation of X(3960) as $$D_s^+ D_s^-$$ D s + D s - state
Abstract We study $$D_s^+ D_s^-$$ D s + D s - and $$D \bar{D}$$ D D ¯ states assuming that they are hadronic molecules with $$J^{PC}=0^{++}$$ J PC = 0 + + quantum number. We use two-point QCD sum rule formalism and extract the mass and decay constant values of these states. We take into account cont...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-11120-3 |
| _version_ | 1797863755501010944 |
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| author | Halil Mutuk |
| author_facet | Halil Mutuk |
| author_sort | Halil Mutuk |
| collection | DOAJ |
| description | Abstract We study $$D_s^+ D_s^-$$ D s + D s - and $$D \bar{D}$$ D D ¯ states assuming that they are hadronic molecules with $$J^{PC}=0^{++}$$ J PC = 0 + + quantum number. We use two-point QCD sum rule formalism and extract the mass and decay constant values of these states. We take into account contributions of various quark, gluon, and mixed vacuum condensates up to dimension eight. The extracted mass and decay constant values of $$D \bar{D}$$ D D ¯ and $$D_s^+ D_s^-$$ D s + D s - states read as $$M_{D \bar{D}} = 3795^{+85}_{-82}~{\textrm{MeV}} $$ M D D ¯ = 3795 - 82 + 85 MeV , $$f_{D \bar{D}} = 1.70^{+0.33}_{-0.29} \times 10^{-2} ~{\textrm{GeV}}^5$$ f D D ¯ = 1 . 70 - 0.29 + 0.33 × 10 - 2 GeV 5 , and $$M_{D_s^+ D_s^-} = 3983^{+93}_{-88} ~{\textrm{MeV}}$$ M D s + D s - = 3983 - 88 + 93 MeV , $$f_{D_s^+ D_s^-} = 2.52^{+0.64}_{-0.54} \times 10^{-2} ~{\textrm{GeV}}^5$$ f D s + D s - = 2 . 52 - 0.54 + 0.64 × 10 - 2 GeV 5 , respectively. The predicted mass of $$D_s^+ D_s^-$$ D s + D s - state is in good agreement with the recent LHCb observation and supports quantum number and molecular picture assignments. A possible observation of $$D \bar{D}$$ D D ¯ state would help for establishing the lowest four-quark state in charmonium sector. |
| first_indexed | 2024-04-09T22:40:41Z |
| format | Article |
| id | doaj.art-9d5d906e6add4660a0b65bbaa28ec78b |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-09T22:40:41Z |
| publishDate | 2022-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-9d5d906e6add4660a0b65bbaa28ec78b2023-03-22T12:11:30ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-12-0182121810.1140/epjc/s10052-022-11120-3Molecular interpretation of X(3960) as $$D_s^+ D_s^-$$ D s + D s - stateHalil Mutuk0Department of Physics, Faculty of Sciences, Ondokuz Mayis UniversityAbstract We study $$D_s^+ D_s^-$$ D s + D s - and $$D \bar{D}$$ D D ¯ states assuming that they are hadronic molecules with $$J^{PC}=0^{++}$$ J PC = 0 + + quantum number. We use two-point QCD sum rule formalism and extract the mass and decay constant values of these states. We take into account contributions of various quark, gluon, and mixed vacuum condensates up to dimension eight. The extracted mass and decay constant values of $$D \bar{D}$$ D D ¯ and $$D_s^+ D_s^-$$ D s + D s - states read as $$M_{D \bar{D}} = 3795^{+85}_{-82}~{\textrm{MeV}} $$ M D D ¯ = 3795 - 82 + 85 MeV , $$f_{D \bar{D}} = 1.70^{+0.33}_{-0.29} \times 10^{-2} ~{\textrm{GeV}}^5$$ f D D ¯ = 1 . 70 - 0.29 + 0.33 × 10 - 2 GeV 5 , and $$M_{D_s^+ D_s^-} = 3983^{+93}_{-88} ~{\textrm{MeV}}$$ M D s + D s - = 3983 - 88 + 93 MeV , $$f_{D_s^+ D_s^-} = 2.52^{+0.64}_{-0.54} \times 10^{-2} ~{\textrm{GeV}}^5$$ f D s + D s - = 2 . 52 - 0.54 + 0.64 × 10 - 2 GeV 5 , respectively. The predicted mass of $$D_s^+ D_s^-$$ D s + D s - state is in good agreement with the recent LHCb observation and supports quantum number and molecular picture assignments. A possible observation of $$D \bar{D}$$ D D ¯ state would help for establishing the lowest four-quark state in charmonium sector.https://doi.org/10.1140/epjc/s10052-022-11120-3 |
| spellingShingle | Halil Mutuk Molecular interpretation of X(3960) as $$D_s^+ D_s^-$$ D s + D s - state European Physical Journal C: Particles and Fields |
| title | Molecular interpretation of X(3960) as $$D_s^+ D_s^-$$ D s + D s - state |
| title_full | Molecular interpretation of X(3960) as $$D_s^+ D_s^-$$ D s + D s - state |
| title_fullStr | Molecular interpretation of X(3960) as $$D_s^+ D_s^-$$ D s + D s - state |
| title_full_unstemmed | Molecular interpretation of X(3960) as $$D_s^+ D_s^-$$ D s + D s - state |
| title_short | Molecular interpretation of X(3960) as $$D_s^+ D_s^-$$ D s + D s - state |
| title_sort | molecular interpretation of x 3960 as d s d s d s d s state |
| url | https://doi.org/10.1140/epjc/s10052-022-11120-3 |
| work_keys_str_mv | AT halilmutuk molecularinterpretationofx3960asdsdsdsdsstate |