Relaxation time for the alignment between quark spin and angular velocity in a rotating QCD medium
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arXiv
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| Format: | Preprint |
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2023
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| author | Ayala, Alejandro Bernal-Langarica, Santiago Jiménez, Isabel Domínguez Maldonado, Ivonne Medina-Serna, José Jorge Rendón, Javier Tejeda-Yeomans, María Elena |
| author_facet | Ayala, Alejandro Bernal-Langarica, Santiago Jiménez, Isabel Domínguez Maldonado, Ivonne Medina-Serna, José Jorge Rendón, Javier Tejeda-Yeomans, María Elena |
| contents | We compute the relaxation times for massive quarks and anti-quarks to align their spins with the angular velocity in a rigidly rotating medium at finite temperature and baryon density. The rotation effects are implemented using a fermion propagator immersed in a cylindrical rotating environment. The relaxation time is computed as the inverse of the interaction rate to produce an asymmetry between the quark (anti-quark) spin components along and opposite to the angular velocity. For conditions resembling heavy-ion collisions, the relaxation times for quarks are smaller than for anti-quarks. For semi-central collisions the relaxation time is within the possible life-time of the QGP for all collision energies. However, for anti-quarks this happens only for collision energies $\sqrt{s_{NN}}\gtrsim 50$ GeV. The results are quantified in terms of the intrinsic quark and anti-quark polarizations, namely, the probability to build the spin asymmetry as a function of time. Our results show that these intrinsic polarizations tend to 1 with time at different rates given by the relaxation times with quarks reaching a sizable asymmetry at a faster pace. These are key results to further elucidate the mechanisms of hyperon polarization in relativistic heavy-ion collisions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_07859 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relaxation time for the alignment between quark spin and angular velocity in a rotating QCD medium Ayala, Alejandro Bernal-Langarica, Santiago Jiménez, Isabel Domínguez Maldonado, Ivonne Medina-Serna, José Jorge Rendón, Javier Tejeda-Yeomans, María Elena High Energy Physics - Phenomenology Nuclear Theory We compute the relaxation times for massive quarks and anti-quarks to align their spins with the angular velocity in a rigidly rotating medium at finite temperature and baryon density. The rotation effects are implemented using a fermion propagator immersed in a cylindrical rotating environment. The relaxation time is computed as the inverse of the interaction rate to produce an asymmetry between the quark (anti-quark) spin components along and opposite to the angular velocity. For conditions resembling heavy-ion collisions, the relaxation times for quarks are smaller than for anti-quarks. For semi-central collisions the relaxation time is within the possible life-time of the QGP for all collision energies. However, for anti-quarks this happens only for collision energies $\sqrt{s_{NN}}\gtrsim 50$ GeV. The results are quantified in terms of the intrinsic quark and anti-quark polarizations, namely, the probability to build the spin asymmetry as a function of time. Our results show that these intrinsic polarizations tend to 1 with time at different rates given by the relaxation times with quarks reaching a sizable asymmetry at a faster pace. These are key results to further elucidate the mechanisms of hyperon polarization in relativistic heavy-ion collisions. |
| title | Relaxation time for the alignment between quark spin and angular velocity in a rotating QCD medium |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2311.07859 |