Abstract
We calculate the shifts in decay constants of the pseudoscalar $$B$$ and $$D$$ mesons in nuclear medium in the frame work of QCD sum rules. We write those shifts in terms of the $$B$$ – $$N$$ and $$D$$ – $$N$$ scattering lengths and an extra phenomenological parameter entered to calculations. Computing an appreciate forward scattering correlation function, we derive the QCD sum rules for the $$B$$ – $$N$$ and $$D$$ – $$N$$ scattering lengths and the extra phenomenological parameter in terms of various operators in nuclear medium. We numerically find the values of the shifts in the decay constants compared to their vacuum values. Using the sum rules obtained, we also determine the shifts in the masses of these particles due to nuclear matter and compare the results obtained with the previous predictions in the literature.
Highlights
Study the in-medium properties of hadrons can help us better understand the perturbative and non-perturbative natures of QCD, and can play crucial role in analyzing the results of heavy ion collision experiments as well as understanding the internal structures of the dense astrophysical objects like neutron stars
There have been a lot of experiments such as CEBAF and RHIC etc. focused on the study of the properties of hadrons in nuclear medium
We extend the works of [14,15] to investigate the modifications in the decay constants of the pseudoscalar B and D mesons in the framework of QCD sum rules
Summary
Study the in-medium properties of hadrons can help us better understand the perturbative and non-perturbative natures of QCD, and can play crucial role in analyzing the results of heavy ion collision experiments as well as understanding the internal structures of the dense astrophysical objects like neutron stars. Considering contributions of various operators in nuclear medium, we calculate the appreciate forward scattering correlation function in hadronic and operator product expansion (OPE) sides in nuclear matter to obtain the QCD sum rules for the B–N and D–N scattering lengths and an extra phenomenological parameter entering the expressions of the modifications in the decay constants of the mesons under consideration. According to the general philosophy of the method, we calculate this function via two different ways: in the phenomenological or hadronic side using the hadronic parameters and in the OPE or theoretical side in terms of QCD degrees of freedom Equating these two representations of the same function, we obtain QCD sum rules for the shifts in the physical quantities under consideration. To suppress contributions of the higher states and continuum, a Borel transformation and continuum subtraction are applied to both sides of the obtained sum rules
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