Chiral Dynamics and Nuclear Matter

Abstract

We calculate the equation of state of isospin-symmetric nuclear matter in the three-loop approximation of chiral perturbation theory. The contributions to the energy per particle $\bar{E}(k_f)$ from one- and two-pion exchange diagrams are ordered in powers of the Fermi momentum $k_f$ (modulo functions of $k_f/m_{\pi }$). It is demonstrated that, already at order $\mathcal{O}(k_f^4)$, two-pion exchange produces realistic nuclear binding. The underlying saturation mechanism is surprisingly simple (in the chiral limit), namely the combination of an attractive $k_f^3$-term and a repulsive $k_f^4$-term. The empirical saturation point and the nuclear compressibility $K\simeq 250$MeV are well reproduced at order $\mathcal{O}(k_f^5)$ with a momentum cut-off of $\Lambda \simeq 0.65$ GeV which parametrizes short-range dynamics. No further short-distance terms are required in our calculation of nuclear matter. In the same framework we calculate the density-dependent asymmetry energy and find $A_0\simeq 34$MeV at the saturation point, in good agreement with the empirical value. The pure neutron matter equation of state is also in fair qualitative agreement with sophisticated many-body calculations and a resummation result of effective field theory, but only for low neutron densities ${\rho }_n<0.25$fm${}^{-3}$.

18 pages, 8 figures

References in corpus (1)

• Asymmetric Nuclear Matter from Extended Brueckner-Hartree-Fock Approach

Cited by in corpus (121)

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• Toward ab initio density functional theory for nuclei
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• The physics of dense hadronic matter and compact stars
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• The nuclear symmetry energy and stability of matter in neutron star
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• Hybrid protoneutron stars with the MIT bag model
• Exploring the extended density-dependent Skyrme effective forces for normal and isospin-rich nuclei to neutron stars
• Nuclear thermodynamics from chiral low-momentum interactions
• Nuclear Lattice Simulations with Chiral Effective Field Theory
• In-medium chiral condensate beyond linear density approximation
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• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• Relativistic nuclear model with point-couplings constrained by QCD and chiral symmetry
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• Selecting microscopic Equations of State
• Heavy quark dynamics for charm and bottom flavor on Fermi surface at zero temperature
• Many Body Methods and Effective Field Theory
• Chemical freeze-out in heavy ion collisions at large baryon densities
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• Kaon Condensates, Nuclear Symmetry Energy and Cooling of Neutron Stars
• Versatility of field theory motivated nuclear effective Lagrangian approach
• Density dependence of the nuclear energy-density functional
• Protoneutron stars within the Brueckner-Bethe-Goldstone theory
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• The QCD Axion at Finite Density
• Nuclear mean field from chiral pion-nucleon dynamics
• Universal correlations in the nuclear symmetry energy, slope parameter, and curvature
• Symmetry energy, neutron skin, and neutron star radius from chiral effective field theory interactions
• Effective density functionals beyond mean field
• Chiral condensate in neutron matter
• The chiral quark condensate and pion decay constant in nuclear matter at next-to-leading order
• Nuclear Many-Body Dynamics constrained by QCD and Chiral Symmetry
• Nuclear Three-body Force Effect on a Kaon Condensate in Neutron Star Matter
• Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter
• Microscopically constrained mean field models from chiral nuclear thermodynamics
• Probing the high-density behavior of symmetry energy with gravitational waves
• Effective Field Theory and Finite Density Systems
• Chiral condensate at finite density using chiral Ward identity
• Chiral dynamics of nuclear matter at finite temperature
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• Density Dependence of Two-Body Interactions for Beyond Mean-Field Calculations
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• Hypernuclear single particle spectra based on in-medium chiral SU(3) dynamics
• Nuclear chiral dynamics and phases of QCD
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• Lambda hypernuclei and neutron star matter in a chiral SU(3) relativistic mean field model with a logarithmic potential
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• Nuclear energy density functionals grounded in ab initio calculations
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• Chiral Effective Field Theory for Nuclear Matter with long- and short-range Multi-Nucleon Interactions
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• QCD susceptibilities and nuclear matter saturation in a chiral theory: inclusion of pion loops
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• In-medium chiral SU(3) dynamics and hypernuclear structure
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• Relativistic calculation of the pion loop correlation energy in nuclear matter in a theory including confinement
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• Spin-asymmetry energy of nuclear matter
• Quasi-particle interaction in nuclear matter from chiral pion-nucleon dynamics
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• Scales in nuclear matter: Chiral dynamics with pion nucleon form factors
• Nuclear spin-orbit interaction from chiral pion-nucleon dynamics
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• Pions in Proton Structure and Everywhere Else
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• Three-loop Corrections in a Covariant Effective Field Theory
• Hadrons in Hot and Dense Matter
• The hadron-quark phase transition in neutron stars
• The Phase Diagram of QCD and Some Issues of Large Nc
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• Many body effects in nuclear matter QCD sum rules
• The effect of Kaon Condensation on Quark-Antiquark Condensate in Dense Matter
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• Chiral approach to nuclear matter: Role of explicit short-range NN-terms
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• Isovector nuclear spin-orbit interaction from chiral pion-nucleon dynamics
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• Dilute Nuclear Matter in Chiral Perturbation Theory
• Hypernuclei and in-medium chiral dynamics
• Chiral nuclear thermodynamics
• Implications of the Oklo phenomenon in a chiral approach to nuclear matter
• Spin-isospin stability of nuclear matter
• Leading-order nucleon self-energy in relativistic chiral effective field theory
• Equilibrium of nuclear matter in QCD sum rules
• Origins and Impacts of High-Density Symmetry Energy
• Nuclear lattice simulations: Status and perspectives
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• Effective Field Theory and the Nuclear Many Body Problem