Nucleon Effective E-Mass in Neutron-Rich Matter from the Migdal-Luttinger Jump

Abstract

The well-known Migdal-Luttinger theorem states that the jump of the single-nucleon momentum distribution at the Fermi surface is equal to the inverse of the nucleon effective E-mass. Recent experiments studying short-range correlations (SRC) in nuclei using electron-nucleus scatterings at the Jefferson National Laboratory (JLAB) together with model calculations constrained significantly the Migdal-Luttinger jump at saturation density of nuclear matter. We show that the corresponding nucleon effective E-mass is consequently constrained to $M_0^{\ast ,\mathrm{E}}/M\approx 2.22\pm 0.35$ in symmetric nuclear matter (SNM) and the E-mass of neutrons is smaller than that of protons in neutron-rich matter. Moreover, the average depletion of the nucleon Fermi sea increases (decreases) approximately linearly with the isospin asymmetry $\delta$ according to ${\kappa }_{\mathrm{p}/\mathrm{n}}\approx 0.21\pm 0.06\pm (0.19\pm 0.08)\delta$ for protons (neutrons). These results will help improve our knowledge about the space-time non-locality of the single-nucleon potential in neutron-rich nucleonic matter useful in both nuclear physics and astrophysics.

Discussions added. Version accepted by PLB

References in corpus (25)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• Probing Cold Dense Nuclear Matter
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Momentum sharing in imbalanced Fermi systems
• Evidence for the Strong Dominance of Proton-Neutron Correlations in Nuclei
• Verification of universal relations in a strongly interacting Fermi gas
• Constraints on the Symmetry Energy Using the Mass-Radius Relation of Neutron Stars
• Short Range Correlations and the EMC Effect
• Symmetry Energy of Nucleonic Matter With Tensor Correlations
• Critical Density and Impact of $\Delta (1232)$ Resonance Formation in Neutron Stars
• Generalized nuclear contacts and the nucleon's momentum distributions
• Neutron-proton effective mass splitting in neutron-rich matter at normal density from analyzing nucleon-nucleus scattering data within an isospin dependent optical model
• Asymmetry dependence of proton correlations
• Symmetry energy of cold nucleonic matter within a relativistic mean field model encapsulating effects of high momentum nucleons induced by short-range correlations
• Density-dependent nucleon-nucleon interaction from three-nucleon forces
• Extracting the Mass Dependence and Quantum Numbers of Short-Range Correlated Pairs from A(e,e'p) and A(e,e'pp) Scattering
• Effects of short-range correlation reduced kinetic symmetry energy in heavy-ion collisions at intermediate energies
• Experimental evaluation of the nuclear neutron-proton contact
• Three-body force effect on nucleon momentum distributions in asymmetric nuclear matter within the framework of the extended BHF approach
• Probing the Nuclear Symmetry Energy with Heavy-Ion Reactions Induced by Neutron-Rich Nuclei
• Symmetry potential of $\Delta (1232)$ resonance and its effects on the ${\pi }^{-}/{\pi }^{+}$ ratio in heavy-ion collisions near the pion production threshold
• Role of nucleonic Fermi surface depletion in neutron star cooling
• Neutron-proton effective mass splitting in neutron-rich matter and its impacts on nuclear reactions
• Isospin splitting of nucleon effective mass and shear viscosity of nuclear matter

Cited by in corpus (11)

• Nucleon Effective Masses in Neutron-Rich Matter
• Imprints of high-momentum nucleons in nuclei on hard photons from heavy-ion collisions around the Fermi Energy
• Proton-skins in momentum space and neutron-skins in coordinate space in heavy nuclei
• Isospin dependence of nucleon effective masses in neutron-rich matter
• Equation of State of Neutron-Rich Matter in $d$-Dimensions
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Recent astrophysical observations reproduced by a short-range correlated van der Waals-type model?
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Effects of Neutron-Proton Short-Range Correlation on the Equation of State of Dense Neutron-Rich Nucleonic Matter
• Origins and Impacts of High-Density Symmetry Energy
• Neutron Star Equation of State with Nucleon Short-Range Correlations: A Concise Review and Open Issues