Abstract

A direct algebraic solution has been obtained from the full bosonic master-field equation of the IIB matrix model for low dimensionality $D=3$ and small matrix size $N=3$. A different method is needed for larger values of $D$ and $N$. Here, we explore an indirect numerical approach and obtain an approximate numerical solution for the nontrivial case $(D,\,N)=(10,\,4)$ with a complex Pfaffian. We also present a suggestion for numerical calculations at larger values of $N$.

Highlights

  • As first seen in Ds∗0(2317) → Dsπ0 by BaBar (2003) [1], Ds1(2460) → Ds∗π0 by CLEO (2003) [2], and confirmed by Belle (2004)[3], a clear experimental proof for the inner structure of Ds∗0(2317) is still unavailable [4]. (1-A1.1)A

  • We find more dramatic changes in mass and decay constant above Tc, and we interpret it as the hadrons starting to disappear

  • We examined the Ds∗0(2317) state in the molecular and diquark–antidiquark pictures by calculating its spectroscopic parameters using the Thermal QCD Sum Rules (TQCDSR) method

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Summary

Türkan

Received 17 May 2021, accepted 29 November 2021, published online 10 January 2022. The low mass of Ds∗0(2317) presents problems for the conventional quark model, leading to consideration of other options regarding a multi-quark system. The values of mass and decay constant change up to 94%, 71% of their values in vacuum in the molecular scenario, and 94%, 75% in the diquark–antidiquark scenario. We find more dramatic changes in mass and decay constant above Tc, and we interpret it as the hadrons starting to disappear. The detailed search for hot medium effects on the hadronic parameters of open-charm meson Ds∗0(2317) and the bottom partner may have implications for the QCD phase diagram derived from heavy-ion collision experiments. These results may help distinguish conventional quark model mesons from exotic states

Introduction
Physical side
QCD side
Numerical calculation and analysis
Findings
Conclusion
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