Year: 2019
Type: article
Abstract: In the molecular picture the hidden-charm, pentaquarklike ${P}_{c}(4450)$ resonance is a ${\overline{D}}^{*}{\mathrm{\ensuremath{\Sigma}}}_{c}$ bound state with quantum numbers $I=\frac{1}{2}$ and ${J}^{P}={\frac{3}{2}}^{\ensuremath{-}}$. If this happens to be the case, it will be natural to expect the existence of ${\overline{D}}^{*}{\overline{D}}^{*}{\mathrm{\ensuremath{\Sigma}}}_{c}$ three-body bound states. The most probable quantum numbers for a bound ${\overline{D}}^{*}{\overline{D}}^{*}{\mathrm{\ensuremath{\Sigma}}}_{c}$ trimer are the isoscalar ${J}^{P}={\frac{1}{2}}^{+}$, ${\frac{5}{2}}^{+}$ and the isovector ${J}^{P}={\frac{3}{2}}^{+}$, ${\frac{5}{2}}^{+}$ configurations. Calculations within a contact-range theory indicate a trimer binding energy ${B}_{3}\ensuremath{\sim}3--5\text{ }\text{ }\mathrm{MeV}$ and 14--16 MeV for the isoscalar ${\frac{1}{2}}^{+}$ and ${\frac{5}{2}}^{+}$ states and ${B}_{3}\ensuremath{\sim}1--3\text{ }\text{ }\mathrm{MeV}$ and 3--5 MeV for the isovector ${\frac{3}{2}}^{+}$ and ${\frac{5}{2}}^{+}$ states, respectively, with ${B}_{3}$ relative to the ${\overline{D}}^{*}{P}_{c}(4450)$ threshold. These predictions are affected by a series of error sources that we discuss in detail.
Author: M. Pavon Valderrama
Institution: Beihang University
Language: Latvian
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: 基于协变重子手征微扰理论的高精度核力及其应用研究, G4395704042
OpenAlex ID: W2901804656