{ "id": "2203.04528", "version": "v1", "published": "2022-03-09T05:25:48.000Z", "updated": "2022-03-09T05:25:48.000Z", "title": "Merger and post-merger of binary neutron stars with a quark-hadron crossover equation of state", "authors": [ "Yong-Jia Huang", "Luca Baiotti", "Toru Kojo", "Kentaro Takami", "Hajime Sotani", "Hajime Togashi", "Tetsuo Hatsuda", "Shigehiro Nagataki", "Yi-Zhong Fan" ], "comment": "6+6 pages, 5+4 figures", "categories": [ "astro-ph.HE", "gr-qc", "nucl-th" ], "abstract": "Fully general-relativistic binary-neutron-star (BNS) merger simulations with quark-hadron crossover (QHC) equations of state (EOSs) are studied for the first time. In contrast to EOSs with purely hadronic matter or with a first-order quark-hadron transition, in the transition region QHC EOSs show a peak in sound speed, and thus a stiffening. We study the effects of such stiffening in the merger and post-merger gravitational (GW) signals. Through simulations in the binary-mass range $2.5 < M/M_{\\odot} < 2.75$, characteristic differences due to different EOSs appear in the frequency of the main peak of the post-merger GW spectrum ($f_2$), extracted through Bayesian inference. In particular, we found that (i) for lower-mass binaries, since the maximum baryon number density ($n_{\\rm max}$) after the merger stays below $3-4$ times the nuclear-matter density ($n_0$), the characteristic stiffening of the QHC models in that density range results in a lower $f_2$ than that computed for the underlying hadronic EOS and thus also than that for EOSs with a first-order phase transition, and (ii) for higher-mass binaries, where $n_{\\rm max}$ may exceed $4-5 n_0$ depending on the EOS model, whether $f_2$ in QHC models is higher or lower than that in the underlying hadronic model depends on the height of the sound-speed peak. Comparing the values of $f_2$ for different EOSs and BNS masses gives important clues on how to discriminate different types of quark dynamics in the high-density end of EOSs and is relevant to future kHz GW observations with third-generation GW detectors.", "revisions": [ { "version": "v1", "updated": "2022-03-09T05:25:48.000Z" } ], "analyses": { "keywords": [ "binary neutron stars", "quark-hadron crossover equation", "qhc models", "maximum baryon number density", "transition region qhc eoss" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }