η mesons in nuclear matter

Abstract

The η-nucleon (ηN) interactions are deduced from the heavy baryon chiral perturbation theory up to the next-to-leading-order terms. Combining the relativistic mean-field theory for nucleon system, we have studied the in-medium properties of η-meson. We find that all the elastic scattering ηN interactions come from the next-to-leading-order terms. The ηN sigma term is found to be about 280±130 MeV. The off-shell terms are also important to the in-medium properties of η-meson. On application of the latest determination of the ηN scattering length, the ratio of η-meson effective mass to its vacuum value is near 0.84 ± 0.015, while the optical potential is about −(83 ± 5) MeV, at the normal nuclear density.

Kibble-Zurek mechanism and finite-time scaling

“…More detailed scaling behavior can then be found from the scaling ansatz (11) along with other plausible arguments. For small R, the standard FSS,…”

“…E-mail: stszf@mail.sysu.edu.cn On the other hand, we have applied a linearly varying external field [9][10][11] and temperature [12] to study scaling in classical first-order phase transitions [9,12], classical continuous phase transitions [10,11,13], and recently quantum phase transitions [14,15] following similar studies using internal frictions [16]. Renormalization-group theories both for a field driving and a temperature driving have also been developed to derive the scaling with the rate of the sweeping [11]. A theory of finite-time scaling (FTS) has also been proposed and confirmed numerically [13] and crossover from FTS to FSS has been considered theoretically but not yet been tested numerically [17].…”

Nuclear in-medium effects on $$\eta $$ η dynamics in proton–nucleus collisions

“…The effective mass of η meson in nuclear medium reads [8] Fig. 1 is the optical potential as functions of momentum and baryon density, respectively.…”

In-medium properties of pseudoscalar $$D_s$$ D s and $$B_s$$ B s mesons

“…Additionally, we include the medium modified mass of the η meson, calculated using heavy-baryon chiral perturbation theory combined with relativistic mean-field theory [51]. In [51] authors studied the in-medium mass of the η mesons in symmetric nuclear matter at zero temperature including next to leading order term. Following this work, we used − 75 and − 120 MeV as values of the mass shift for η mesons at ρ 0 and 4ρ 0 , respectively.…”

“…We first calculate the strange quark condensates ss , and gluon condensates (1968), η) mesons, using the 3 P 0 model. Additionally, we introduce the in-medium mass of the η meson, calculated using the heavy-baryon chiral perturbation model along with relativistic mean field theory [51].…”