Abstract
We calculate the mass and residue of the nucleon in nuclear matter in the framework of QCD sum rules using the nucleon's interpolating current with an arbitrary mixing parameter. We evaluate the effects of the nuclear medium on these quantities and compare the obtained results with the existing theoretical predictions. The results are also compared with those obtained in vacuum to find the shifts in the quantities under consideration. Our calculations show that these shifts in the mass and residue are about $32\%$ and $15\%$, respectively.
Highlights
To analyze the experimental results on the relativistic heavy ion collision obtained at different experiments such as CERN, the European Organization for Nuclear Research, and BNL, Brookhaven National Laboratory, as well as for better understanding the internal structure of neutron stars, the in-medium properties of hadrons especially the properties of nucleons at nuclear medium are needed
We studied some properties of the nucleon in the nuclear matter using the QCD sum rules
Using the interpolating current of the nucleon with an arbitrary mixing parameter, we extended the previous works on the mass of the nucleon discussed, which mainly use the Ioffe current
Summary
To analyze the experimental results on the relativistic heavy ion collision obtained at different experiments such as CERN, the European Organization for Nuclear Research, and BNL, Brookhaven National Laboratory, as well as for better understanding the internal structure of neutron stars, the in-medium properties of hadrons especially the properties of nucleons at nuclear medium are needed. We extend the previous studies to calculate both the mass and residue of the nucleon in nuclear matter using the interpolating current with an arbitrary mixing parameter in the frame work of QCD sum rules. The unstable points of two sum rules in nominator and denominator generally coincide and cancel each other and the mass shows roughly good stability with respect to the mixing parameter in the whole interval (−∞, +∞) for β To restrict this parameter, the only reliable chance is to use the sum rule for the residue as it does not contain any ratio of sum rules and includes only one function from the operator product expansion (OPE) side.
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