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Main Authors: Satarov, Leonid M., Mishustin, Igor N., Stoecker, Horst
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2412.20897
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author Satarov, Leonid M.
Mishustin, Igor N.
Stoecker, Horst
author_facet Satarov, Leonid M.
Mishustin, Igor N.
Stoecker, Horst
contents Equation of state of uncharged bosonic matter is studied within a field-theoretical approach in the mean-field approximation. Interaction of bosons is described by a scalar field $σ$ with a Skyrme-like potential which contains both attractive and repulsive terms. Additionally we introduce the derivative interaction by including factor $(1+λσ)^{-1}$ in the kinetic part of Lagrangian where $λ> 0$ is the model parameter. Numerical calculations are made for strongly interacting matter composed of $α$ particles. It is shown that ground-state binding energy and equilibrium density of such matter drop with increasing $λ$. The liquid-gas phase transition and the Bose-Einstein condensation are studied by using different thermodynamic variables. We calculate also spinodal lines which give boundaries of metastable states. It is demonstrated that critical temperature decreases with $λ$. Both LGPT and bound condensate states disappear above certain maximum value of $λ$.
format Preprint
id arxiv_https___arxiv_org_abs_2412_20897
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Phase diagram of bosonic matter with additional derivative interaction
Satarov, Leonid M.
Mishustin, Igor N.
Stoecker, Horst
High Energy Physics - Phenomenology
Equation of state of uncharged bosonic matter is studied within a field-theoretical approach in the mean-field approximation. Interaction of bosons is described by a scalar field $σ$ with a Skyrme-like potential which contains both attractive and repulsive terms. Additionally we introduce the derivative interaction by including factor $(1+λσ)^{-1}$ in the kinetic part of Lagrangian where $λ> 0$ is the model parameter. Numerical calculations are made for strongly interacting matter composed of $α$ particles. It is shown that ground-state binding energy and equilibrium density of such matter drop with increasing $λ$. The liquid-gas phase transition and the Bose-Einstein condensation are studied by using different thermodynamic variables. We calculate also spinodal lines which give boundaries of metastable states. It is demonstrated that critical temperature decreases with $λ$. Both LGPT and bound condensate states disappear above certain maximum value of $λ$.
title Phase diagram of bosonic matter with additional derivative interaction
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2412.20897