Relativistic effects in the strong and electromagnetic decays of the $${D^*}$$ meson
Year: 2025
Type: article
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 M 1 transition, but rather an $$M1+E2+M3+E4$$ M 1 + E 2 + M 3 + E 4 decay. We find that in a strong decay $$D^{*}\rightarrow {D}{\pi }$$
Source: The European Physical Journal C
Authors: Man Jia, Wei Li, Su-Yan Pei, Xin-Yao Du, Guo-Zhu Ning, Guo-Li Wang
Institutions: Hebei University, Hebei Agricultural University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Award: G5598840149
OpenAlex ID: W4408346602