We calculate the mass and residue of the nucleon in nuclear matter in the frame work 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 results obtained 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.

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.

We report on some properties of the newly observed charged hidden-charmed open strange $$ Z_{cs}(3985)^- $$ Z cs ( 3985 ) - state by BESIII Collaboration. Assigning the quantum numbers $$ J^{P} = 1^{+}$$ J P = 1 + and the quark composition $$ c \bar{c} s\bar{u} $$ c c ¯ s u ¯ and considering it as the strange partner of the famous $$ Z_c(3900) $$ Z c ( 3900 ) state, we estimate the mass of the $$ Z_{cs}(3985)^- $$ Z cs ( 3985 ) - resonance in vacuum and compare it with the experimental data. We also investigate its mass, current coupling and vector-self energy in a medium with finite density. Our result on the mass in vacuum agrees well with the experimental data. We estimate the mass and current coupling of the b-partner of this state, $$ Z_{bs}$$ Z bs , in the vacuum as well. For its mass we get $$ m_{Z_{bs}}= 10732^{+97}_{-46}~\hbox {MeV}$$ m Z bs = 10732 - 46 + 97 MeV , which may be checked via other nonperturbative approaches as well as future experiments. We present the dependence of the spectroscopic parameters of $$ Z_{cs}(3985)^- $$ Z cs ( 3985 ) - state on density and observe that these parameters are linearly changed with increasing in the density.

Quantal effects on growth of spinodal instabilities in charge asymmetric nuclear matter are investigated in the framework of a stochastic mean field approach. Due to quantal effects, in both symmetric and asymmetric matter, dominant unstable modes shift towards longer wavelengths and modes with wave numbers larger than the Fermi momentum are strongly suppressed. As a result of quantum statistical effects, in particular at lower temperatures, magnitude of density fluctuations grows larger than those calculated in semi-classical approximation.

The Facility for Antiproton and Ion Research (FAIR) in Darmstadt, Germany, provides unique possibilities for a new generation of hadron-, nuclear- and atomic physics experiments. The future antiProton ANnihilations at DArmstadt (PANDA or $$\overline{\mathrm{P}}$$ P ¯ ANDA) experiment at FAIR will offer a broad physics programme, covering different aspects of the strong interaction. Understanding the latter in the non-perturbative regime remains one of the greatest challenges in contemporary physics. The antiproton–nucleon interaction studied with PANDA provides crucial tests in this area. Furthermore, the high-intensity, low-energy domain of PANDA allows for searches for physics beyond the Standard Model, e.g. through high precision symmetry tests. This paper takes into account a staged approach for the detector setup and for the delivered luminosity from the accelerator. The available detector setup at the time of the delivery of the first antiproton beams in the HESR storage ring is referred to as the Phase One setup. The physics programme that is achievable during Phase One is outlined in this paper.