In the QCD-like effective model, the Polyakov linear-sigma model, the isospin sigma field (
${\overline{\sigma}}_{3}={f}_{{K}^{\pm}}-{f}_{{K}^{0}}$) and the third generator of the matrix of the explicit symmetry breaking [
${h}_{3}={m}_{{a}_{0}}^{2}\left({f}_{{K}^{\pm}}-{f}_{{K}^{0}}\right)$] are estimated in terms of the decay constants of the neutral (
${f}_{K}^{0}$) and charged Kaon (
${f}_{{K}^{\pm}}$) and the mass of
${a}_{0}$ meson. Both quantities
${\overline{\sigma}}_{3}$ and
${h}_{3}$ are then evaluated, at finite baryon (
${\mu}_{B}$), isospin chemical potential (
${\mu}_{I}$), and temperature (
T). Thereby, the dependence of the critical temperature on isospin chemical potential could be mapped out in the (
$T-{\mu}_{I}$) phase diagram In the QCD-like effective model, the Polyakov linear-sigma model, the isospin sigma field (
${\overline{\sigma}}_{3}={f}_{{K}^{\pm}}-{f}_{{K}^{0}}$) and the third generator of the matrix of the explicit symmetry breaking [
${h}_{3}={m}_{{a}_{0}}^{2}\left({f}_{{K}^{\pm}}-{f}_{{K}^{0}}\right)$] are estimated in terms of the decay constants of the neutral (
${f}_{K}^{0}$) and charged Kaon (
${f}_{{K}^{\pm}}$) and the mass of
${a}_{0}$ meson. Both quantities
${\overline{\sigma}}_{3}$ and
${h}_{3}$ are then evaluated, at finite baryon (
${\mu}_{B}$), isospin chemical potential (
${\mu}_{I}$), and temperature (
T). Thereby, the dependence of the critical temperature on isospin chemical potential could be mapped out in the (
$T-{\mu}_{I}$) phase diagram. The in-medium modifications of pseudoscalars (
${J}^{pc}={0}^{-+}$), scalars (
${J}^{pc}={0}^{++}$), vectors (
${J}^{pc}={1}^{--}$), and axial-vectors (
${J}^{pc}={1}^{++}$) meson states are then analyzed in thermal and dense medium. We conclude that the QCD phase diagram (
$T-{\mu}_{I}$) is qualitatively similar to the (
$T-{\mu}_{B}$) phase diagram. We also conclude that both temperature and isospin chemical potential enhance the in-medium modifications of the meson states
${a}_{0}$,
$\sigma $,
${\eta}^{\prime}$,
$\pi $,
${f}_{0}$,
$\kappa $,
$\eta $,
K,
$\rho $,
$\omega $,
${\kappa}^{*}$,
$\varphi $,
${a}_{1}$,
${f}_{1}$,
${K}^{*}$, and
${f}_{1}^{*}$. Regarding their chemical potential, at high temperatures the various meson states likely dissolve into colored partonic phase. In this limit, the meson masses form a universal bundle. Thus, we conclude that the increase in the chemical potential similar to temperature derives the colorless confined meson states into the colored deconfined parton phase.
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