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The solutions to the zero-sound frequency equation and pion dispersion equation are considered for the different values of the parameters of the effective particle-hole interaction. The branches of solutions, responsible for the long-wave…

Nuclear Theory · Physics 2007-05-23 V. A. Sadovnikova

In symmetrical nuclear matter the solutions of pion dispersion equation are investigated in the complex plane of the pion frequency \omega. There are three well-known branches of solutions on the physical sheet : sound, pion and isobar, at…

Nuclear Theory · Physics 2009-09-25 V. A. Sadovnikova

Results for the frequencies of zero-sound excitations in the isospin asymmetric nuclear matter are presented for the different parameters of asymmetry -1\leq\beta\leq 1. The dispersion equations are constructed within the random phase…

Nuclear Theory · Physics 2020-06-16 V. A. Sadovnikova

In isospin symmetric and asymmetric nuclear matter we study the structure functions connected with the zero sound excitations. In the simple model with Landau-Migdal quasiparticle interactions the density response $\Pi^R(\omega,k)$ of the…

Nuclear Theory · Physics 2021-11-24 V. A. Sadovnikova

In this paper the solutions of the zero-sound dispersion equation in the random phase approximation (RPA) are considered. The calculation of the damped zero-sound modes \omega_s(k) (complex frequency of excitation) in the nuclear matter is…

Nuclear Theory · Physics 2015-05-18 V. A. Sadovnikova

The recent progress on the study of the collective excitation in relativistic nuclear matter is reviewed. The collective excitation modes are derived by meson propagators in nuclear matter. The mesons we study are $\sigma, \omega, \gamma$…

Nuclear Theory · Physics 2018-01-17 Liang-gang Liu

A meson exchange model of the $\pi\pi$ interaction which fits free $\pi\pi$ scattering data is used to calculate the interactions of pions in nuclear matter as a function of nuclear density. Polarization of the nuclear medium by the pions…

Nuclear Theory · Physics 2009-10-30 R. Rapp , J. W. Durso , J. Wambach

We calculate the density-dependent spin-isospin asymmetry energy $J(k_f)$ of nuclear matter in the three-loop approximation of chiral perturbation theory. The interaction contributions to $J(k_f)$ originate from one-pion exchange, iterated…

Nuclear Theory · Physics 2009-11-11 N. Kaiser

We investigate the possibility of measuring the pion dispersion relation in nuclear matter through the anomalous coupling in the reaction \gamma - \gamma' \pi_0. It is shown that this reaction permits the study of pionic modes for…

Nuclear Theory · Physics 2008-11-26 Alexander Volya , Kevin Haglin , Scott Pratt , Vladimir Dmitriev

The pion-production reactions $\pi^+ A \to \pi^+\pi^{\pm} A'$ were studied on $^{2}H$, $^{12}C$, $^{40}Ca$, and $^{208}Pb$ nuclei at an incident pion energy of $T_{\pi^{+}}$=283 MeV. Pions were detected in coincidence using the CHAOS…

Nuclear Experiment · Physics 2008-11-26 F. Bonutti , P. Camerini , E. Fragiacomo , N. Grion , R. Rui

We calculate the contribution of pions to the $\bar qq$-expectation value $\kappa(\rho)= <M|\bar qq|M>$ in symmetric nuclear matter. We employ exact pion propagator renormalized by nucleon-hole and isobar-hole excitations. Conventional…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova

Neutral pion number N0 distributions for each total number of particles in event Ntot=Nch+N0 are obtained. The scaled variance of neutral pion fluctuations, omega=D/<N0>, is measured. The fluctuations increase at Ntot >22. According to…

We estimate exclusive density and asymmetry parameter dependent dispersion relations of various charged states of pions in asymmetric nuclear matter. The possibility of matter induced mixing of $\pi^0$ with $\eta$ is clearly exposed with…

Nuclear Theory · Physics 2008-11-26 Subhrajyoti Biswas , Abhee K. Dutt-Mazumder

We extend a recent calculation of the nuclear energy density functional in the systematic framework of chiral perturbation theory by computing the isovector spin-orbit terms: $(\vec \nabla \rho_p- \vec \nabla \rho_n)\cdot(\vec J_p-\vec J_n)…

Nuclear Theory · Physics 2009-11-10 N. Kaiser

We evaluate the in-medium spectral functions for pions, nucleon and isobar resonances in a self consistent and covariant manner. The calculations are based on a recently developed formulation which leads to predictions in terms of the…

Nuclear Theory · Physics 2010-12-16 C. L. Korpa , M. F. M. Lutz

Nuclear reactions induced by stable and/or radioactive neutron-rich nuclei provide the opportunity to pin down the equation of state of neutron-rich matter, especially the density ($\rho$) dependence of its isospin-dependent part, i.e., the…

Nuclear Theory · Physics 2017-08-23 Bao-An Li , Lie-Wen Chen , Che Ming Ko , Andrew W. Steiner

Within the framework of the quantum molecular dynamics transport model, the pion production and constraint of the high-density symmetry energy in heavy-ion collisions near threshold energy have been thoroughly investigated. The energy…

Nuclear Theory · Physics 2024-06-10 Heng-Jin Liu , Ban Zhang , Yuan-Qing Guo , Hui-Gan Cheng , Si-Na Wei , Zhao-Qing Feng

The directional weak decay constants of neutral pions are determined at finite temperature T, chemical potential \mu and in the presence of a constant magnetic field B. To do this, we first derive the energy dispersion relation of neutral…

High Energy Physics - Phenomenology · Physics 2015-06-16 Sh. Fayazbakhsh , N. Sadooghi

The equation of state with quantum statistics corrections is used for particle number fluctuations $\omega$ of isotopically symmetric nuclear matter with interparticle van der Waals and Skyrme local density interactions. The fluctuations,…

Nuclear Theory · Physics 2023-03-01 A. G. Magner , S. N. Fedotkin , U. V. Grygoriev

We report variational calculations of symmetric nuclear matter and pure neutron matter, using the new Argonne v18 two-nucleon and Urbana IX three-nucleon interactions. At the equilibrium density of 0.16 fm^-3 the two-nucleon densities in…

Nuclear Theory · Physics 2009-09-25 Arya Akmal , Vijay R. Pandharipande
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