Spin alignment of $K^\ast$ induced by strange-baryon density inhomogeneity
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910505249013760 |
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| author | Li, Feng |
| author_facet | Li, Feng |
| contents | The difference between the spin alignments of $K^\ast$ and those of $ϕ$ at the low collision energies is a puzzle raised by the recent experiments. Unlike $ϕ$ meson, $K^\ast$, carrying a unit strange charge, should react to strange chemical potential $μ_S$. In this paper, we shall first convince you that $μ_S$ is not small in a brayon-rich medium for keeping strange neutrality, and then derive the spin alignment induced by the gradient of $μ_S$, and hence of baryon chemical potential $μ_B$, using linear response theory, with the transport coefficients expressed, without any approximation, in terms of the $K^\ast$'s in-medium spectral properties by employing Ward-Takahashi identity. It turns out that such an effect applies mainly to the particles whose longitudinal and transverse modes diverge, and induces only the local spin alignment in a static medium. The magnitudes of these coefficients will be further estimated under the quasi-particle approximation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02860 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spin alignment of $K^\ast$ induced by strange-baryon density inhomogeneity Li, Feng Nuclear Theory High Energy Physics - Phenomenology The difference between the spin alignments of $K^\ast$ and those of $ϕ$ at the low collision energies is a puzzle raised by the recent experiments. Unlike $ϕ$ meson, $K^\ast$, carrying a unit strange charge, should react to strange chemical potential $μ_S$. In this paper, we shall first convince you that $μ_S$ is not small in a brayon-rich medium for keeping strange neutrality, and then derive the spin alignment induced by the gradient of $μ_S$, and hence of baryon chemical potential $μ_B$, using linear response theory, with the transport coefficients expressed, without any approximation, in terms of the $K^\ast$'s in-medium spectral properties by employing Ward-Takahashi identity. It turns out that such an effect applies mainly to the particles whose longitudinal and transverse modes diverge, and induces only the local spin alignment in a static medium. The magnitudes of these coefficients will be further estimated under the quasi-particle approximation. |
| title | Spin alignment of $K^\ast$ induced by strange-baryon density inhomogeneity |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.02860 |