Relaxation times for disoriented isospin condensates in high energy heavy ion collisions

Fuente: arXiv
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Main Authors: Chabowski, Olivia, Kapusta, Joseph I., Singh, Mayank
Format: Preprint
Published: 2024
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author Chabowski, Olivia
Kapusta, Joseph I.
Singh, Mayank
author_facet Chabowski, Olivia
Kapusta, Joseph I.
Singh, Mayank
contents Fluctuations between charged and neutral kaons measured by the ALICE Collaboration in Pb-Pb collisions at the LHC exceed conventional explanations. Previously it was shown that if the scalar condensate is accompanied by an electrically neutral isospin--1 field then the combination can produce large equilibrium fluctuations where $\langle \bar{u}u\rangle \ne \langle \bar{d}d\rangle$. Hadronizing strange and anti-strange quarks might then strongly fluctuate between charged ($u\bar{s}$ or $s\bar{u}$) and neutral ($d\bar{s}$ or $s\bar{d}$) kaons. Here we estimate the times for the condensates to achieve their equilibrium probability distributions within causal volumes in high energy heavy ion collisions. This is achieved by modeling the temperature dependence of the condensates, mesonic collective excitations, decay rates of the associated fields, and employing the Langevin and Fokker-Planck equations. Within this model, we find that the equilibration times are short compared with the expansion time, making disoriented isospin condensates a viable explanation for the anomalous fluctuations observed at the LHC.
format Preprint
id arxiv_https___arxiv_org_abs_2409_03711
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Relaxation times for disoriented isospin condensates in high energy heavy ion collisions
Chabowski, Olivia
Kapusta, Joseph I.
Singh, Mayank
High Energy Physics - Phenomenology
Nuclear Theory
Fluctuations between charged and neutral kaons measured by the ALICE Collaboration in Pb-Pb collisions at the LHC exceed conventional explanations. Previously it was shown that if the scalar condensate is accompanied by an electrically neutral isospin--1 field then the combination can produce large equilibrium fluctuations where $\langle \bar{u}u\rangle \ne \langle \bar{d}d\rangle$. Hadronizing strange and anti-strange quarks might then strongly fluctuate between charged ($u\bar{s}$ or $s\bar{u}$) and neutral ($d\bar{s}$ or $s\bar{d}$) kaons. Here we estimate the times for the condensates to achieve their equilibrium probability distributions within causal volumes in high energy heavy ion collisions. This is achieved by modeling the temperature dependence of the condensates, mesonic collective excitations, decay rates of the associated fields, and employing the Langevin and Fokker-Planck equations. Within this model, we find that the equilibration times are short compared with the expansion time, making disoriented isospin condensates a viable explanation for the anomalous fluctuations observed at the LHC.
title Relaxation times for disoriented isospin condensates in high energy heavy ion collisions
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2409.03711