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arXiv 2603.15971hep-phnucl-th
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具有有限动量的ϕ介子的极化依赖性质量修正

Polarization-dependent mass modifications of $ϕ$ meson with finite momentum in nuclear matter

Advanced Science Research Center, Japan Atomic Energy Agency(日本原子能机构先进科学研究中心);Research Center for Nuclear Physics, The University of Osaka(大阪大学核物理研究中心);Laboratório de Física Teórica e Computacional-LFTC, Programa de Pósgraduação em Astrofísica e Física Computacional, Universidade Cidade de São Paulo(圣保罗城市大学理论及计算物理实验室-计算物理与天体物理学研究生项目)

Ahmad Jafar Arifi, Philipp Gubler, Kazuo Tsushima

AI总结:

研究有限动量下ϕ介子在核物质中的性质,通过有效拉格朗日方法计算极化依赖性质量修正及宽度变化,揭示极化模式与密度和动量的关系,为J-PARC实验提供新预测。

摘要:

我们研究了有限动量下ϕ介子在核介质中的性质,超越了通常研究的静止情况。在核介质中,洛伦兹不变性被破坏,导致纵向和横向极化模式随密度和动量不同演化。在有效拉格朗日方法中,我们计算了来自K介子环和平均场相互作用的ϕ介子极化依赖性质量修正和宽度修正。发散环积分通过两种方案调节:协变形式因子和维数正规化。结果表明,横向极化的质量修正与ϕ介子动量无关,而纵向极化质量修正随动量二次减少。这种差异源于纵向模式与矢量平均场及导数型相互作用在自能中的耦合。这些效应对实验观测有直接影响,特别是对J-PARC即将进行的测量,提供了研究密集物质中强子动力学的新预测。

英文摘要:

We investigate the in-medium properties of the $ϕ$ meson with finite momentum, going beyond the commonly studied case at rest. In a nuclear medium, Lorentz invariance is broken, leading to distinct longitudinal and transverse polarization modes that evolve differently with density and momentum. Within an effective Lagrangian approach, we calculate the polarization-dependent mass shifts and width modifications of the $ϕ$ meson arising from $K\bar{K}$ loops and mean-field interactions. The divergent loop integrals are regulated using two different schemes: a covariant form factor and dimensional regularization. Our results show that the mass shift of the transverse polarization is independent of the $ϕ$-meson momentum, whereas that of the longitudinal polarization decreases quadratically with momentum. This difference originates from the coupling of the longitudinal mode to the vector mean field and derivative-type interactions in the self-energy. These effects have direct implications for experimental observables, especially for upcoming measurements at J-PARC, and provide a new prediction for experiments studying hadron dynamics in dense matter.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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