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Abstract
The shifts in the masses and decay constants of B and D mesons in nuclear medium are calculated in the frame work of QCD sum rules. The results obtained are compared with the existing theoretical predictions.
Highlights
To better analyze the results of heavy ion collision experiments and understand the internal structures of the dense astrophysical objects like neutron stars, we need the study of the in-medium properties of hadrons
We calculate the shifts in the masses and decay constants of B and D mesons in nuclear medium in the framework of QCD sum rules
We see that in the intervals 34 GeV2 ≤ s0 ≤ 38 GeV2 and 5.6 GeV2 ≤ s0 ≤ 6.4 GeV2 respectively for the B and D mesons, the results demonstrate weak dependence on the continuum threshold
Summary
To better analyze the results of heavy ion collision experiments and understand the internal structures of the dense astrophysical objects like neutron stars, we need the study of the in-medium properties of hadrons. In order to calculate the shifts in the values of the masses and decay constants, we consider the following forward scattering amplitude TN(q). Following the general philosophy of the QCD sum rule method, the aforementioned correlation function can be calculated both in terms of the hadronic parameters called the physical or phenomenological side, and in terms of the QCD parameters called the theoretical or QCD side These two representations are matched using dispersion relations to obtain QCD sum rules for the shifts in the masses and leptonic decay constants of the B and D mesons. In order to calculate the shifts in the mass and decay constant, we need to calculate the phenomenological parameters a and b using the forward scattering amplitude calculated both in hadronic and QCD sides. Since the functions a and b are very lengthy functions, we do not present their explicit expression here
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