Nuclear Theory·nucl-th

Thursday·October 12, 2023

5 papers—2 primary·3 cross-listed

03
Dynamically generated states from the $η K^{*} K ˉ^{*}$ , $π K^{*} K ˉ^{*}$ , and $K K^{*} K ˉ^{*}$ systems within the fixed-center approximation
Qing-Hua Shen🇨🇳 · Xu Zhang🇨🇳 · Xiang Liu🇨🇳 · Ju-Jun Xie🇨🇳
The three-body systems $η K^{*} K ˉ^{*}$ , $π K^{*} K ˉ^{*}$ , and $K K^{*} K ˉ^{*}$ are further investigated within the framework of fixed-center approximation, where $K^{*} K ˉ^{*}$ is treated as the fixed-center, corresponding to the possible scalar meson $a_{0} (1780)$ or the tensor meson $f_{2}^{'} (1525)$ . The interactions between $η$ , $π$ , $K$ , and $K^{*}$ are taken from the chiral unitary approach. The resonance structures appear in the modulus squared of the three-body scattering amplitude and suggest that $η / π / K$ - $(K^{*} K ˉ^{*})_{a_{0} (1780) / f_{2}^{'} (1525)}$ hadron state can be formed. By scattering the $η$ meson on the fixed-center $(K^{*} K ˉ^{*})_{a_{0} (1780)}$ , it is found that there is a distinct peak around 2100 MeV, as shown in the modulus squared of the three-body scattering amplitude, which can be associated with the meson $π (2070)$ . For the scattering of the $η$ meson on the $(K^{*} K ˉ^{*})_{f_{2}^{'} (1525)}$ , a resonance structure around 1890 MeV is found and it can be associated with the $η_{2} (1870)$ meson. Other resonance structures are also found and can be associated with $π_{2} (1880)$ and $η (2010)$ .
↳ hep-phhep-exnucl-exnucl-thPRD(2024)·2 citations
04
On thermal transition in QCD
Masanori Hanada🇬🇧 · Hiromasa Watanabe🇯🇵
We describe how the general mechanism of partial deconfinement applies to large- $N$ QCD and the partially-deconfined phase inevitably appears between completely-confined and completely-deconfined phases. Furthermore, we propose how the partial deconfinement can be observed in the real-world QCD with the SU(3) gauge group. For this purpose, we employ lattice configurations obtained by the WHOT-QCD collaboration and examine our proposal numerically. In the discussion, the Polyakov loop plays a crucial role in characterizing the phases, without relying on center symmetry, and hence, we clarify the meaning of the Polyakov loop in QCD at large $N$ and finite $N$ . Both at large $N$ and finite $N$ , the complete confinement is characterized by the Haar-random distribution of the Polyakov line phases. Haar-randomness, which is stronger than unbroken center symmetry, indicates that Polyakov loops in any nontrivial representations have vanishing expectation values and deviation from the Haar-random distribution at higher temperatures is quantified with the loops. We discuss that the transitions separating the partially-deconfined phase are characterized by the behaviors of Polyakov loops in various representations. The lattice QCD data provide us with the signals exhibiting two different characteristic temperatures: deconfinement of the fundamental representation and deconfinement of higher representations. As a nontrivial test for our proposal, we also investigate the relation between partial deconfinement and instanton condensation and confirm the consistency with the lattice data. To make the presentation more easily accessible, we provide a detailed review of the previously known aspects of partial deconfinement.
↳ hep-thhep-lathep-phnucl-thPTEP(2024)·21 citations
05
Solutions of the Schrödinger equation with Quarkonium potential to predict the mass-spectra of the heavy mesons via series expansion method
E. P. Inyang · E. P. Inyang · I. O. Akpan · E. S. William
In this study, a quarkonium potential is adopted as the quark-antiquark interaction potential for predicting the mass spectra of heavy mesons. We solved the radial Schrödinger equation analytically using the series expansion method and obtained the energy eigenvalues. The present results are applied for predicting the mass spectra of heavy mesons such as charmonium and bottomonium. The present potential provides satisfying results in comparison with experimental data and the work of other researchers with a maximum error of 0.058 GeV
↳ hep-phnucl-th0 citations

Affiliations

first authorsco-authorsvia INSPIRE

Dynamically generated states from the ηK∗Kˉ∗, πK∗Kˉ∗, and KK∗Kˉ∗ systems within the fixed-center approximation

On thermal transition in QCD

Solutions of the Schrödinger equation with Quarkonium potential to predict the mass-spectra of the heavy mesons via series expansion method

Affiliations

Dynamically generated states from the $η K^{} K ˉ^{}$ , $π K^{} K ˉ^{}$ , and $K K^{} K ˉ^{}$ systems within the fixed-center approximation