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arXiv 2602.15410hep-phnucl-th
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Kπ混合作为强磁场中电荷π子非单调行为的机制

pion-rho Mixing as a mechanism for non-monotonic charged pion behavior in magnetic fields

School of Physics and Optoelectronic Engineering, Beijing University of Technology(北京工业大学物理与光电工程学院)

Ziyue Wang

AI总结:

研究磁场诱导的π-ρ混合是否能解释晶格QCD中电荷π子的非单调行为,通过近极有效作用证明最低朗德极简电荷π子与纵向极化的电荷ρ介子混合,导致能级分裂增强,再现晶格观测趋势。

摘要:

我们研究磁场诱导的π-ρ混合是否能解释晶格QCD中报告的电荷π子非单调行为。利用从SU(2)_f Nambu--Jona-Lasinio模型导出的近极有效作用,我们表明最低朗德极简电荷π子与纵向极化的电荷ρ介子混合,后者在磁场背景中具有相同的量子数。由此产生的能级分裂被ρ波函数重整化在极点附近抑制而显著增强。因此,最低混合模式随着磁场增加出现转折,再现晶格观测趋势。与朗德投影核的直接行列式解比较表明,该机制稳健,尽管最大值的位置仍依赖于方案。这些结果支持π-ρ混合作为强磁场中电荷介子能谱的重要候选机制。

英文摘要:

We investigate whether magnetic field induced $π-ρ$ mixing can explain the non-monotonic behavior of the charged pion reported in lattice QCD. Using a near-pole effective action derived from the SU(2)$_f$ Nambu--Jona-Lasinio model, we show that the lowest Landau level charged pion mixes with the longitudinally polarized charged rho meson, which shares the same quantum numbers in a magnetic background. The resulting level repulsion is strongly amplified by the suppression of the rho wave-function renormalization near the pole. As a consequence, the lowest mixed mode develops a turnover as the magnetic field increases, reproducing the qualitative trend seen on the lattice. Comparison with the direct determinant solution of the Landau-projected kernel shows that the mechanism is robust, although the quantitative location of the maximum remains scheme dependent. These results support $π-ρ$ mixing as an important candidate mechanism for charged meson spectra in strong magnetic fields.

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