Cold Dense Baryonic Matter and Compact Stars

Lee, Hyun Kyu; Rho, Mannque; Sin, Sang-Jin

doi:10.1142/s0217751x11054644

Cited by 4 publications

(7 citation statements)

References 17 publications

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“…Although the nuclear matter properties are difficult to access, it is a crucial and an interesting object to study them in both particle and nuclear physics because they are critically concerned with such issues as the equation of state (EoS) relevant to the compact-star matter and the chiral symmetry breaking/restoration in dense matter( see., e.g., Ref. [1] and references therein).…”

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confidence: 99%

“…Before making the numerical simulation, we first analyze some properties of ∂ i φ i and T i based on the symmetry structure of FCC crystal and the arrangement of the nearest two skyrmions to yield the strongest attractive interaction. In the crystal, due to the periodical structure, we can expand φ α as 1 φ 0 = a,b,c β abc cos(aπx/L) cos(bπy/L) cos(cπz/L), 1 Here, different from Refs. [5,15], we make the Fourier expansion of the fields φ α , (α = 0, 1, 2, 3) which have the same structures that their corresponding unnormalized ones φα .…”

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Mass degeneracy of heavy-light mesons with chiral partner structure in the half-Skyrmion phase

Suenaga

et al. 2015

Phys. Rev. D

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We explore the mass splitting of the heavy-light mesons with chiral partner structure in nuclear matter. In our calculation, we employed the heavy hadron chiral perturbation theory with chiral partner structure and the nuclear matter is constructed by putting skyrmions from the standard Skyrme model onto the face-centered cubic crystal and regarding the skyrmion matter as nuclear matter. We find that, although the masses of the heavy-light mesons with chiral partner structure are splitted in the matter-free space and skyrmion phase, they are degenerated in the half-skyrmion phase in which the chiral symmetry is restored globally. This observation suggests that the magnitude of the mass splitting of the heavy-light mesons with chiral partner structure can be used as a probe of the phase structure of the nuclear matter.Although the nuclear matter properties are difficult to access, it is a crucial and an interesting object to study them in both particle and nuclear physics because they are critically concerned with such issues as the equation of state (EoS) relevant to the compact-star matter and the chiral symmetry breaking/restoration in dense matter( see., e.g., Ref.[1] and references therein).Among all the approaches to the nuclear matter, skyrmion crystal is such one in which the nuclear matter properties are studied by putting skyrmions onto the crystal structure and regarding the skyrmion matter as baryonic matter [2](see also Ref.[3] and references therein). By changing the crystal size, the density effect enters. For example, in the face-centered cubic (FCC) crystal [4,5] adopted in this paper, ρ = 4/(2L) 3 with ρ and L being the nuclear matter density and crystal size, respectively. The advantage of the skyrmion crystal approach to nuclear matter is that both the nuclear matter and medium modified hadron properties can be treated in a unified way [6].In the skyrmion crystal approach, when we reduce the crystal size, or, equivalently, increase the nuclear matter density, the nuclear matter undergoes a phase transition from skyrmion phase to half-skyrmion phase in which there is a skyrmion configuration with a half baryon number at each crystal vertex [7]. And people found that, when the skyrmions are put onto the FCC crystal at low density, in the half-skyrmion phase at high density, the crystal vertices at which half-baryons are concentrated form a cubic crystal [4,5]. The order parameter which charactorizes this phase transition is the space average of the quark-antiquark condensate qq which vanishes in the half-skyrmion phase. Note that although the space average of the quark-antiquark condensate vanishes in * suenaga@hken.phys.nagoya-u.ac.jp † he@hken.phys.nagoya-u.ac.jp ‡ yongliangma@jlu.edu.cn § harada@hken.phys.nagoya-u.ac.jp the half-skyrmion phase, chiral symmetry is still locally broken since the pion decay constant in the baryonic matter f * π which charactorizes the chiral symmetry breaking does not vanish [8] and the quark-antiquark condensate is locally non-zero [9]. At this moment, properti...

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confidence: 99%

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confidence: 99%

Mass degeneracy of heavy-light mesons with chiral partner structure in the half-Skyrmion phase

Suenaga

et al. 2015

Phys. Rev. D

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“…How nuclear forces mediating the strong interactions and controlling the phase structure of multi-baryonic systems enter into the nature of ǫ sym , presumably controlling the fate of compacts stars, is one of the principal themes of our current theoretical research into baryonic matter at high density. This note is a sequel to, and a substantial updating of, the previous reports [1,2].…”

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confidence: 74%

“…where the kaonic part of the Lagrangian (50) in the background of the skyrmion background u 0 (x) and the dilaton χ 0 , L K−SU (2) , is of the form…”

Section: In-medium Kaon Mass In the Skyrmion Crystalmentioning

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Flavor Symmetry and Topology Change in Nuclear Symmetry Energy for Compact Stars

Lee

Rho

2013

Int. J. Mod. Phys. E

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The nuclear symmetry energy figures crucially in the structure of asymmetric nuclei and, more importantly, in the equation of state (EoS) of compact stars. At present it is almost totally unknown, both experimentally and theoretically, in the density regime appropriate for the interior of neutron stars. Basing on a strong-coupled structure of dense baryonic matter encoded in the skyrmion crystal approach with a topology change and resorting to the notion of generalized hidden local symmetry in hadronic interactions, we address a variety of hitherto unexplored issues of nuclear interactions associated with the symmetry energy, i.e., kaon condensation and hyperons, possible topology change in dense matter, nuclear tensor forces, conformal symmetry, chiral symmetry, etc., in the EoS of dense compact-star matter. One of the surprising results coming from HLS structure that is distinct from what is given by standard phenomenological approaches is that at high density, baryonic matter is driven by renormalization group flow to the "dilaton-limit fixed point" constrained by "mended symmetries". We further propose how to formulate kaon condensation and hyperons in compact-star matter in a framework anchored on a single effective Lagrangian by treating hyperons as the Callan-Klebanov kaon-skyrmion bound states simulated on crystal lattice. This formulation suggests that hyperons can figure in the stellar matter -if at allwhen or after kaons condense, in contrast to the standard phenomenological approaches where the hyperons appear as the first strangeness degree of freedom in matter, thereby suppressing or delaying kaon condensation. In our simplified description of the stellar structure in terms of symmetry energies, which is compatible with that of the 1.97 solar mass star, kaon condensation plays a role of "doorway state" to strange quark matter. stars stable against collapse to black holes, can be addressed in terms of the nuclear symmetry energy ǫ sym . How nuclear forces mediating the strong interactions and controlling the phase structure of multi-baryonic systems enter into the nature of ǫ sym , presumably controlling the fate of compacts stars, is one of the principal themes of our current theoretical research into baryonic matter at high density. This note is a sequel to, and a substantial updating of, previous reports. 1,2On the experimental side, there are broadly two avenues, namely, terrestrial laboratories and space observatories. The heavy-ion collision is one of the terrestrial tools to gain information on how the strong interactions between hadrons (nuclear interaction) are modified with varying densities. In project are laboratories such as KoRIA (Korean Rare Isotope Accelerator, officially called "RAON") and other RIB machines, FAIR (Facility for Antiproton and Ion Reactions) at GSI/Darmstadt, FRIB (Facility for Rare Isotope Beams) at MSU/Michigan and NICA (Nuclotron-based Ion Collider Facility) at JINR/Dubna. They will probe the ranges of temperature up to 50-60 MeV and of density up to (3-4)n 0 (wher...

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Relation between the mass modification of heavy–light mesons and the chiral symmetry structure in dense matter

Harada

Suenaga

et al. 2017

Progress of Theoretical and Experimental Physics

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We point out that the study of the density dependences of the masses of heavy-light mesons give some clues to the chiral symmetry structure in nuclear matter. We include the omega meson effect as well as the sigma meson effect at mean field level on the density dependence of the masses of heavylight mesons with chiral partner structure. It is found that the omega meson affects the masses of the heavy-light mesons and their antiparticles in the opposite way, while it affects the masses of chiral partners in the same way. This is because the ω meson is sensitive to the baryon number of the light degrees included in the heavy-light mesons. We also show that the mass difference between chiral partners is proportional to the mean field of sigma, reflecting the partial restoration of chiral symmetry in the nuclear matter. In addition to the general illustration of the density dependence of the heavy-light meson masses, we consider two concrete models for nuclear matter, the parity doublet model and skyrmion crystal model in the sense of mean field approximation.

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Cold Dense Baryonic Matter and Compact Stars

Cited by 4 publications

References 17 publications

Mass degeneracy of heavy-light mesons with chiral partner structure in the half-Skyrmion phase

Mass degeneracy of heavy-light mesons with chiral partner structure in the half-Skyrmion phase

Flavor Symmetry and Topology Change in Nuclear Symmetry Energy for Compact Stars

Relation between the mass modification of heavy–light mesons and the chiral symmetry structure in dense matter

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