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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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1434-6052 |