Coupled-channel $Λ_{c}K^{+}-pD_{s}$ Interaction in Flavor $ \textrm{SU}\left(3\right) $ Limit of Lattice QCD
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929339971403776 |
|---|---|
| author | Etminan, Faisal Sasaki, Kenji Inoue, Takashi |
| author_facet | Etminan, Faisal Sasaki, Kenji Inoue, Takashi |
| contents | We study $S$-wave interactions in the $I\left(J^{p}\right)=1/2\left(1/2^{-}\right)$ $Λ_{c}K^{+}-pD_{s}$ system on the basis of the coupled-channel HAL QCD method. The potentials which are faithful to QCD S-matrix below the $ pD^{*} $ threshold are extracted from Nambu-Bethe-Salpeter wave functions on the lattice in Flavor $ \textrm{SU}\left(3\right) $ Limit. For the simulation, we employ $ 3 $-flavor full QCD gauge configurations on a $\left(1.93 \:\textrm{fm} \right)^{3}$ volume at $m_π\simeq 872$ MeV. %\textcolor{red}{For the charm quark, the relativistic heavy quark action is employed to treat its dynamics on the lattice}.
We present our results of the S-wave coupled-channel potentials for the $Λ_{c}K^{+}-pD_{s}$ system in the $1/2\left(1/2^{-}\right)$ state as well as scattering observables obtained from the extracted potential matrix. We observe that the coupling between $Λ_{c}K^{+}$ and $pD_{s}$ channels is weak. The phase shifts and scattering length obtained from the extracted potential matrix show that the $Λ_{c}K^{+}$ interaction is attractive at low energy and stronger than the $pD_{s}$ interaction though no bound state at $m_π\geq872$ MeV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_02569 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Coupled-channel $Λ_{c}K^{+}-pD_{s}$ Interaction in Flavor $ \textrm{SU}\left(3\right) $ Limit of Lattice QCD Etminan, Faisal Sasaki, Kenji Inoue, Takashi High Energy Physics - Lattice Nuclear Theory We study $S$-wave interactions in the $I\left(J^{p}\right)=1/2\left(1/2^{-}\right)$ $Λ_{c}K^{+}-pD_{s}$ system on the basis of the coupled-channel HAL QCD method. The potentials which are faithful to QCD S-matrix below the $ pD^{*} $ threshold are extracted from Nambu-Bethe-Salpeter wave functions on the lattice in Flavor $ \textrm{SU}\left(3\right) $ Limit. For the simulation, we employ $ 3 $-flavor full QCD gauge configurations on a $\left(1.93 \:\textrm{fm} \right)^{3}$ volume at $m_π\simeq 872$ MeV. %\textcolor{red}{For the charm quark, the relativistic heavy quark action is employed to treat its dynamics on the lattice}. We present our results of the S-wave coupled-channel potentials for the $Λ_{c}K^{+}-pD_{s}$ system in the $1/2\left(1/2^{-}\right)$ state as well as scattering observables obtained from the extracted potential matrix. We observe that the coupling between $Λ_{c}K^{+}$ and $pD_{s}$ channels is weak. The phase shifts and scattering length obtained from the extracted potential matrix show that the $Λ_{c}K^{+}$ interaction is attractive at low energy and stronger than the $pD_{s}$ interaction though no bound state at $m_π\geq872$ MeV. |
| title | Coupled-channel $Λ_{c}K^{+}-pD_{s}$ Interaction in Flavor $ \textrm{SU}\left(3\right) $ Limit of Lattice QCD |
| topic | High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2311.02569 |