Dense Baryonic Matter in Hidden Local Symmetry Approach: Half-Skyrmions and Nucleon Mass

Abstract

Hadron properties in dense medium are treated in a unified way in a skyrmion model constructed with an effective Lagrangian, in which the rho and omega vector mesons are introduced as hidden gauge bosons, valid up to O(p^4) terms in chiral expansion including the homogeneous Wess-Zumino terms. All the low energy constants - apart from f_pi and m_rho - are fixed by the master formula derived from the relation between 5-D hQCD and 4-D HLS. This allows one to pin down the density n_1/2 at which the skyrmions in medium fractionize into half-skyrmions, bringing in a drastic change in the EoS of dense matter. We find that the U(1) field that figures in the CS term in the hQCD action or equivalently the omega field in the hWZ term in the dimensionally reduced HLS action plays a crucial role in the half-skyrmion phase. The importance of the omega degree of freedom may be connected to what happens in the instanton structure of elementary baryon noticed in hQCD. The most striking and intriguing in what is found in the model is that f_pi that smoothly drops with increasing density in the skyrmion phase stops decreasing at n_1/2 and remains nearly constant in the half-skyrmion phase. In accordance with the large N_c consideration, the baryon mass also stays non-scaling in the half-skyrmion phase. This feature which is reminiscent of the parity-doublet baryon model with a chirally invariant mass m_0 is supported by the nuclear EFT with the parameters of the Lagrangian scaling modified at the skyrmion-half-skyrmion phase transition. It also matches with one-loop RG analysis based on HLS. A link between a non-vanishing m_0 and the origin of nucleon mass distinctive from dynamically generated mass is suggested. We briefly discuss the possible consequences of the topology change found in this paper on the forthcoming experiments at the RIB machines under construction.

REVTeX, 13 pages, 6 figures, to be published in Phys. Rev. D

References in corpus (12)

• QCD and dimensional deconstruction
• Chiral Dynamics of Baryons from String Theory
• Dynamics of Baryons from String Theory and Vector Dominance
• Skyrmions, instantons and holography
• Half-Skyrmions, Tensor Forces and Symmetry Energy in Cold Dense Matter
• Nucleon Form Factors and Hidden Symmetry in Holographic QCD
• Symmetries of hadrons after unbreaking the chiral symmetry
• Half-Skyrmions and the Equation of State for Compact-Star Matter
• Skyrmions with vector mesons in the hidden local symmetry approach
• Hidden Local Symmetry and Infinite Tower of Vector Mesons for Baryons
• Implications of Holographic QCD in ChPT with Hidden Local Symmetry
• Holographic QCD Integrated back to Hidden Local Symmetry

Cited by in corpus (33)

• Pentaquark and Tetraquark states
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter II
• Interplay between ω-Nucleon Interaction and Nucleon Mass in Dense Baryonic Matter
• Chiral-scale effective theory including a dilatonic meson
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Half-Skyrmions and the Equation of State for Compact-Star Matter
• Dense baryonic matter in conformally-compensated hidden local symmetry: Vector manifestation and chiral symmetry restoration
• Mass degeneracy of the heavy-light mesons with chiral partner structure in the half-skyrmion phase
• Fractional Skyrmions and their molecules
• Chiral condensates for neutron stars in hadron-quark crossover: from a parity doublet nucleon model to an NJL quark model
• Inhomogeneous quark condensate in compressed skyrmion matter
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Scalar Pseudo-Nambu-Goldstone Boson in Nuclei and Dense Nuclear Matter
• Topology and emergent symmetries in dense compact star matter
• Relation between the mass modification of the heavy-light mesons and the chiral symmetry structure in dense matter
• $D$ and $D^{\ast }$ meson mixing in spin-isospin correlated cold nuclear matter
• Topology change, emergent symmetries and compact star matter
• Topology Change and Tensor Forces for the EoS of Dense Baryonic Matter
• Self-dual solitons in a generalized Chern-Simons baby Skyrme model
• Neutron stars within the Skyrme model
• Gauged BPS baby Skyrmions with quantised magnetic flux
• Skyrmions, half-skyrmions and nucleon mass in dense baryonic matter
• Instanton Bags, High Density Holographic QCD and Chiral Symmetry Restoration
• Chiral effective theories from holographic QCD with scalars
• Topology change and nuclear symmetry energy in compact-star matter
• Fractionized Skyrmions in Dense Compact-Star Matter
• A New Topological "Twist" to BR Scaling
• Adding crust to BPS Skyrme neutron stars
• Magnetic field effect on nuclear matter from skyrmion crystal model
• Chiral condensates for neutron stars in hadron-quark crossover; from a parity doublet nucleon model to an NJL quark model
• Chiral-Imbalance Density Wave in Baryonic Matters
• Structure Group and Fermion-Mass-Term in General Nonlocality
• Finite density nuclear matter and neutron stars in hard-wall AdS/QCD model