Description:
<jats:title>Abstract</jats:title><jats:p>This paper discusses the charmonium and bottomonium correlators in the pseudoscalar channel and the corresponding spectral reconstruction on the lattice. The absence of a transport peak in the pseudoscalar channel spectral function allows for an easier study of the in-medium modification of bound states. However, extracting spectral information from Euclidean correlators is still a numerically ill-posed problem. To constrain the spectral reconstruction, we use an ansatz motivated from perturbation theory. The perturbative model spectral function has two main contributions: a thermal part around the threshold obtained from pNRQCD and the vacuum part well above the threshold. These two regions are matched continuously, and the model spectral function is obtained by introducing parameters that control the overall thermal shift of the peak and the overall amplitude. The lattice correlator data is computed using clover-improved Wilson valence fermions on large and fine gauge field configurations generated using <jats:inline-formula><jats:alternatives><jats:tex-math>$$N_f=2+1$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
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</mml:math></jats:alternatives></jats:inline-formula> flavors Highly Improved Staggered Quark action with physical strange quark mass <jats:inline-formula><jats:alternatives><jats:tex-math>$$m_s$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
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</mml:math></jats:alternatives></jats:inline-formula>, and slightly heavy degenerate up and down quark masses <jats:inline-formula><jats:alternatives><jats:tex-math>$$m_l=m_s/5$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
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<mml:mi>l</mml:mi>
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</mml:math></jats:alternatives></jats:inline-formula> that correspond to <jats:inline-formula><jats:alternatives><jats:tex-math>$$m_\pi \simeq 320$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
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<mml:mn>320</mml:mn>
</mml:mrow>
</mml:math></jats:alternatives></jats:inline-formula> MeV. Our results obtained at <jats:inline-formula><jats:alternatives><jats:tex-math>$$T=220$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>220</mml:mn>
</mml:mrow>
</mml:math></jats:alternatives></jats:inline-formula> MeV and <jats:inline-formula><jats:alternatives><jats:tex-math>$$T=251$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
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<mml:mi>T</mml:mi>
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<mml:mn>251</mml:mn>
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</mml:math></jats:alternatives></jats:inline-formula> MeV suggest that no resonance peaks are needed to describe the charmonium lattice data at these temperatures, while for bottomonium thermally broadened resonance peaks persists.</jats:p>