{ "id": "1810.06062", "version": "v1", "published": "2018-10-14T17:04:12.000Z", "updated": "2018-10-14T17:04:12.000Z", "title": "A pseudo-conformal structure in dense baryonic matter", "authors": [ "Yong-Liang Ma", "Mannque Rho" ], "comment": "17 pages, 8 figures", "categories": [ "nucl-th", "hep-ph" ], "abstract": "We sharpen and extend further the idea developed in \\cite{PKLMR,MLPR} that baryonic matter at high density has an emergent \"pseudo-conformal symmetry.\" It is argued that as baryonic density exceeds $n \\simeq n_{1/2} \\gtrsim 2n_0$, a topology change mimicking the baryon-quark continuity takes place at $n_{1/2}$. In terms of skyrmions, this corresponds to the transition from skyrmions to half-skyrmions and impacts on the equation of state of dense baryonic matter. The emergence in medium at $n_{1/2}$ of parity-doublet symmetry -- which is invisible in QCD in matter-free vacuum -- plays the crucial role. The consequence of the topology change is that massive compact stars carry the \"pseudo-conformal sound velocity\" $v_s^2/c^2\\approx 1/3$ at $n\\gsim n_{1/2}$ signaling a precursor to precocious emergence of scale symmetry as well as {a} local symmetry hidden in QCD in the matter-free vacuum. A highly significant prediction of this work is that the topology change density from normal matter to half-skyrmion matter, up-to-date inaccessible either by QCD proper or by terrestrial experiments, could possibly be pinned down within the range $2 < n_{1/2}/n_0 < 4$, commensurate with the range expected for a continuous hadrons-to-quarks/gluons transition.", "revisions": [ { "version": "v1", "updated": "2018-10-14T17:04:12.000Z" } ], "analyses": { "keywords": [ "dense baryonic matter", "pseudo-conformal structure", "matter-free vacuum", "massive compact stars carry", "topology change density" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }