Relativistic effects in the strong and electromagnetic decays of the $${D^*}$$ D ∗ meson
Abstract In this paper, we solve the complete Salpeter equation and use the obtained relativistic wave function to calculate the strong and radiative electromagnetic decays of the $${D^*}$$ D ∗ meson. We obtain the results $$\Gamma (D^{*}(2007)^{0}\rightarrow D^{0}\pi ^{0})=34.6~\textrm{keV}$$ Γ ( D...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-13974-9 |
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| author | Man Jia Wei Li Su-Yan Pei Xin-Yao Du Guo-Zhu Ning Guo-Li Wang |
| author_facet | Man Jia Wei Li Su-Yan Pei Xin-Yao Du Guo-Zhu Ning Guo-Li Wang |
| author_sort | Man Jia |
| collection | DOAJ |
| description | Abstract In this paper, we solve the complete Salpeter equation and use the obtained relativistic wave function to calculate the strong and radiative electromagnetic decays of the $${D^*}$$ D ∗ meson. We obtain the results $$\Gamma (D^{*}(2007)^{0}\rightarrow D^{0}\pi ^{0})=34.6~\textrm{keV}$$ Γ ( D ∗ ( 2007 ) 0 → D 0 π 0 ) = 34.6 keV and $$\Gamma (D^{*}(2007)^{0}\rightarrow D^{0}\gamma )=19.4~\textrm{keV}$$ Γ ( D ∗ ( 2007 ) 0 → D 0 γ ) = 19.4 keV , and the estimated full width is $$\Gamma (D^{*}(2007)^{0})=54.0~\textrm{keV}$$ Γ ( D ∗ ( 2007 ) 0 ) = 54.0 keV . The focus of this study is on the relativistic corrections. In our method, the wave function of the D meson is not a pure S-wave, but includes both a non-relativistic S-wave and a relativistic P-wave, while the wave function of the $$D^*$$ D ∗ meson includes a non-relativistic S-wave as well as both relativistic P-wave and D-wave. Therefore, in this case, the decay $${D^{*}\rightarrow {D}\gamma }$$ D ∗ → D γ is not a non-relativistic M1 transition, but rather an $$M1+E2+M3+E4$$ M 1 + E 2 + M 3 + E 4 decay. We find that in a strong decay $$D^{*}\rightarrow {D}{\pi }$$ D ∗ → D π , the non-relativistic contribution is dominant, while in an electromagnetic decay $${D^{*}\rightarrow {D}\gamma }$$ D ∗ → D γ , the relativistic correction is dominant. |
| format | Article |
| id | doaj-art-20e14bb2d2004927a194be5a85aa2dbc |
| institution | DOAJ |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-20e14bb2d2004927a194be5a85aa2dbc2025-08-20T03:01:41ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-03-018531710.1140/epjc/s10052-025-13974-9Relativistic effects in the strong and electromagnetic decays of the $${D^*}$$ D ∗ mesonMan Jia0Wei Li1Su-Yan Pei2Xin-Yao Du3Guo-Zhu Ning4Guo-Li Wang5Department of Physics, Hebei UniversityCollege of Science, Hebei Agriculture UniversityDepartment of Physics, Hebei UniversityDepartment of Physics, Hebei UniversityDepartment of Physics, Hebei UniversityDepartment of Physics, Hebei UniversityAbstract In this paper, we solve the complete Salpeter equation and use the obtained relativistic wave function to calculate the strong and radiative electromagnetic decays of the $${D^*}$$ D ∗ meson. We obtain the results $$\Gamma (D^{*}(2007)^{0}\rightarrow D^{0}\pi ^{0})=34.6~\textrm{keV}$$ Γ ( D ∗ ( 2007 ) 0 → D 0 π 0 ) = 34.6 keV and $$\Gamma (D^{*}(2007)^{0}\rightarrow D^{0}\gamma )=19.4~\textrm{keV}$$ Γ ( D ∗ ( 2007 ) 0 → D 0 γ ) = 19.4 keV , and the estimated full width is $$\Gamma (D^{*}(2007)^{0})=54.0~\textrm{keV}$$ Γ ( D ∗ ( 2007 ) 0 ) = 54.0 keV . The focus of this study is on the relativistic corrections. In our method, the wave function of the D meson is not a pure S-wave, but includes both a non-relativistic S-wave and a relativistic P-wave, while the wave function of the $$D^*$$ D ∗ meson includes a non-relativistic S-wave as well as both relativistic P-wave and D-wave. Therefore, in this case, the decay $${D^{*}\rightarrow {D}\gamma }$$ D ∗ → D γ is not a non-relativistic M1 transition, but rather an $$M1+E2+M3+E4$$ M 1 + E 2 + M 3 + E 4 decay. We find that in a strong decay $$D^{*}\rightarrow {D}{\pi }$$ D ∗ → D π , the non-relativistic contribution is dominant, while in an electromagnetic decay $${D^{*}\rightarrow {D}\gamma }$$ D ∗ → D γ , the relativistic correction is dominant.https://doi.org/10.1140/epjc/s10052-025-13974-9 |
| spellingShingle | Man Jia Wei Li Su-Yan Pei Xin-Yao Du Guo-Zhu Ning Guo-Li Wang Relativistic effects in the strong and electromagnetic decays of the $${D^*}$$ D ∗ meson European Physical Journal C: Particles and Fields |
| title | Relativistic effects in the strong and electromagnetic decays of the $${D^*}$$ D ∗ meson |
| title_full | Relativistic effects in the strong and electromagnetic decays of the $${D^*}$$ D ∗ meson |
| title_fullStr | Relativistic effects in the strong and electromagnetic decays of the $${D^*}$$ D ∗ meson |
| title_full_unstemmed | Relativistic effects in the strong and electromagnetic decays of the $${D^*}$$ D ∗ meson |
| title_short | Relativistic effects in the strong and electromagnetic decays of the $${D^*}$$ D ∗ meson |
| title_sort | relativistic effects in the strong and electromagnetic decays of the d d ∗ meson |
| url | https://doi.org/10.1140/epjc/s10052-025-13974-9 |
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