Properties of holographic mesons on dense medium

Abstract

Abstract:We study the energy dispersions of holographic light mesons and their decay constants on dense nuclear medium. As the spatial momenta of mesons along the boundary direction increase, both observables of the mesons not only increase but also split according to the isospin charges. The decay constant of the negative meson is more large than that of the positive meson of the same type due to the chemical potentials of the background nucleons.

Nucleon form factors in the nuclear medium

“…For later use, we summarize the equations of motion for mesons [26,33]. After the Fourier mode expansion, the mode function of ρ-meson should satisfy…”

“…together with imposing 0 = ∂ m āa m , they are decoupled and the longitudinal mode of the axial-vector represents another pseudoscalar field, χ. Their spectra and form factors in the nuclear medium have already been studied in [26,33].…”

“…Solving above equations with the proper boundary conditions, Dirichlet boundary condition at the asymptotic boundary and Neumann boundary condition at the IR cutoff denoted by z IR , determines the mass of various mesons [25,26]. Note that the above mode functions should be appropriately normalized to define form factors.…”

“…The resulting dual gravity theory allows a new geometric solution called the thermal charged AdS (tcAdS), which is dual to the confining phase of a nuclear medium governed by hadronic spectra [17,18,19]. On this background corresponding a nuclear medium, various meson's and nucleon's spectra have been studied [20,21,22,23,24,25,26,27,28,29,30,31,32]. These quantities are crucially associated with the twopoint correlation function of nucleon and meson [33].…”

“…and p indicate the energy and momentum of q-meson with an isospin charge (i). Above π and χ indicate fluctuations of the scalar field and longitudinal component of the axial-vector, respectively.Solving above equations with the proper boundary conditions, Dirichlet boundary condition at the asymptotic boundary and Neumann boundary condition at the IR cutoff denoted by z IR , determines the mass of various mesons[25,26].Note that the above mode functions should be appropriately normalized to define form factors.From the dual gravity, ρ and a 1 -mesons have the following normalization[33] …”