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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2412.10775 |
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| _version_ | 1866909541888688128 |
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| author | Jia, Man Li, Wei Pei, Su-Yan Du, Xin-Yao Ning, Guo-Zhu Wang, Guo-Li |
| author_facet | Jia, Man Li, Wei Pei, Su-Yan Du, Xin-Yao Ning, Guo-Zhu Wang, Guo-Li |
| contents | 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 ${D^*}$ meson. { We obtain the results $Γ(D^{*}(2007)^{0}\to D^{0}π^{0})=34.6~\rm{keV}$ and $Γ(D^{*}(2007)^{0}\rightarrow D^{0}γ)=19.4~\rm{keV}$, and the estimated full width is $Γ(D^{*}(2007)^{0})=54.0~\rm{keV}$.} 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 $D^*$ meson includes a non-relativistic $S$-wave as well as both relativistic $P$-wave and $D$-wave. Therefore, in this case, the decay ${D^{*}\rightarrow{D}γ}$ is not a non-relativistic $M1$ transition, but rather an $M1+E2+M3+E4$ decay. We find that in a strong decay $D^{*}\rightarrow{D}π$, the non-relativistic contribution is dominant, while in an electromagnetic decay ${D^{*}\rightarrow{D}γ}$, the relativistic correction is dominant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10775 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relativistic effects in the strong and electromagnetic decays of ${D^*}$ meson Jia, Man Li, Wei Pei, Su-Yan Du, Xin-Yao Ning, Guo-Zhu Wang, Guo-Li High Energy Physics - Phenomenology 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 ${D^*}$ meson. { We obtain the results $Γ(D^{*}(2007)^{0}\to D^{0}π^{0})=34.6~\rm{keV}$ and $Γ(D^{*}(2007)^{0}\rightarrow D^{0}γ)=19.4~\rm{keV}$, and the estimated full width is $Γ(D^{*}(2007)^{0})=54.0~\rm{keV}$.} 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 $D^*$ meson includes a non-relativistic $S$-wave as well as both relativistic $P$-wave and $D$-wave. Therefore, in this case, the decay ${D^{*}\rightarrow{D}γ}$ is not a non-relativistic $M1$ transition, but rather an $M1+E2+M3+E4$ decay. We find that in a strong decay $D^{*}\rightarrow{D}π$, the non-relativistic contribution is dominant, while in an electromagnetic decay ${D^{*}\rightarrow{D}γ}$, the relativistic correction is dominant. |
| title | Relativistic effects in the strong and electromagnetic decays of ${D^*}$ meson |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.10775 |