Nuclear Theory·nucl-th

Wednesday·December 7, 2022

7 papers—4 primary·3 cross-listed

05
Understanding the nature of $Ω (2012)$ in a coupled-channel approach
Qi-Fang Lü🇨🇳 · Hideko Nagahiro🇯🇵 · Atsushi Hosaka🇯🇵
We perform a systematic analysis of the mass and strong decays of the $Ω (2012)$ resonance in a coupled-channel approach of a bare three-quark state and a composite meson-baryon state. Besides the coupling of the bare state and $Ξ^{*} K ˉ$ channel, the effective meson-baryon interactions are also included. We find a pole with mass of $2008$ MeV by solving the Bethe-Salpeter equation. The calculated decay widths and its ratios of branching fractions $R_{Ξ K ˉ}^{Ξ π K ˉ}$ agree well with the new experimental measurement by Belle Collaboration. Our results suggest that both three-quark core and $Ξ^{*} K ˉ$ channel are essential for the description of the $Ω (2012)$ resonance. We expect that present calculations can help us to better understand the nature of $Ω (2012)$ resonance.
↳ hep-phhep-exnucl-thPRD(2023)·23 citations
06
Phenomenological model for the $γ γ \to π^{+} π^{-} π^{0}$ reaction
Xiu-Lei Ren🇩🇪 · Igor Danilkin🇩🇪 · Marc Vanderhaeghen🇩🇪
We present a phenomenological model for the $γ γ \to π^{+} π^{-} π^{0}$ reaction by including the production mechanism of the $a_{2} (1320)$ resonance, as well as the contributions from the $σ / f_{0} (500) π^{0}$ and $f_{2} (1270) π^{0}$ production channels. Furthermore, the $γ γ \to ρ^{\pm} π^{\mp} \to π^{+} π^{-} π^{0}$ channel, which is essential for a description in the low-energy region, is investigated carefully by introducing the complete set of gauge invariant and Lorentz-covariant tensors for the $γ γ \to ρ^{\pm} π^{\mp}$ subprocess. The full amplitude is constructed to yield a correct high-energy Regge behavior. Within our model, we achieve a very reasonable description of ARGUS and L3 data of the total cross section, as well as of the $π^{\pm} π^{0}$ and $π^{+} π^{-}$ invariant mass distributions. We also predict the invariant mass distributions in the $γ γ$ center-of-mass energy range from $0.8$ GeV to $2.0$ GeV, which will be studied by the forthcoming data of the BESIII collaboration.
↳ hep-phnucl-thPRD(2023)·6 citations
07
Nuclear Transition in the Strong Coupling Limit
Jangho Kim🇩🇪 · Pratitee Pattanaik🇩🇪 · Wolfgang Unger🇩🇪
Lattice QCD at finite baryon chemical potential has the infamous sign problem which hinders Monte Carlo simulations. This can be remedied by a dual representation that makes the sign problem mild. In the strong coupling limit, the dual formulation with staggered quarks is well established. We have used this formulation to study the quark mass dependence of the baryon mass and the nuclear transition. This allows us to quantify the nuclear interaction. We have also compared our Monte Carlo results with mean field predictions.
↳ hep-latnucl-thPoS(2023)·1 citation

Affiliations

first authorsco-authorsvia INSPIRE

Understanding the nature of Ω(2012) in a coupled-channel approach

Phenomenological model for the γγ→π+π−π0 reaction

Nuclear Transition in the Strong Coupling Limit

Affiliations

Understanding the nature of $Ω (2012)$ in a coupled-channel approach

Phenomenological model for the $γ γ \to π^{+} π^{-} π^{0}$ reaction