Generalized nuclear contacts and the nucleon's momentum distributions

Abstract

The general nuclear contact matrices are defined, taking into consideration all partial waves and finite-range interactions, extending Tan's work for the zero range model. The properties of these matrices are discussed and the relations between the contacts and the one-nucleon and two-nucleon momentum distributions are derived. Using these relations, a new asymptotic connection between the one-nucleon and two-nucleon momentum distributions, describing the two-body short-range correlations in nuclei, is obtained. Using available numerical data, we extract few connections between the different contacts and verify their relations to the momentum distributions. The numerical data also allows us to identify the main nucleon momentum range affected by two-body short-range correlations. Utilizing these relations and the numerical data, we also verify a previous independent prediction connecting between the Levinger constant and the contacts. This work provides an important indication for the relevance of the contact formalism to nuclear systems, and should open the path for revealing more useful relations between the contacts and interesting quantities of nuclei and nuclear matter.

10 pages, 5 figures

References in corpus (9)

• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Molecular Probe of Pairing in the BEC-BCS Crossover
• Momentum sharing in imbalanced Fermi systems
• Verification of universal relations in a strongly interacting Fermi gas
• Number of closed-channel molecules in the BEC-BCS crossover
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
• Universal Relations for Identical Bosons from 3-Body Physics
• Nucleon momentum distributions, their spin-isospin dependence and short-range correlations
• Experimental evaluation of the nuclear neutron-proton contact

Cited by in corpus (66)

• Nucleon-Nucleon Correlations, Short-lived Excitations, and the Quarks Within
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Nucleon Effective Masses in Neutron-Rich Matter
• Direct Observation of Proton-Neutron Short-Range Correlation Dominance in Heavy Nuclei
• Probing the core of the strong nuclear interaction
• The nuclear contacts and short range correlations in nuclei
• Scale and Scheme Independence and Position-Momentum Equivalence of Nuclear Short-Range Correlations
• Neutrino-nucleus cross section within the extended factorization scheme
• Symmetry energy of cold nucleonic matter within a relativistic mean field model encapsulating effects of high momentum nucleons induced by short-range correlations
• The Present and Future of QCD
• Progress in understanding short-range structure in nuclei: an experimental perspective
• Short Range Correlations and the EMC Effect in Effective Field Theory
• Energy and momentum dependence of nuclear short-range correlations - Spectral function, exclusive scattering experiments and the contact formalism
• Short-range correlation physics at low RG resolution
• Universality of nucleon-nucleon short-range correlations: the factorization property of the nuclear wave function, the relative and center-of-mass momentum distributions, and the nuclear contacts
• Short range correlations and the isospin dependence of nuclear correlation functions
• Large-momentum distribution of a polarized Fermi gas and p-wave contacts
• Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism
• Generalized Contact Formalism Analysis of the ${}^4$He$(e,e^{\prime }pN)$ Reaction
• The Entanglement Entropy between Short Range Correlations and the Fermi Sea in Nuclear Structure
• Extracing the number of short-range corerlated nucleon pairs from inclusive electron scattering data
• Electroweak pion-production on nuclei within the extended factorization scheme
• Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
• Isospin composition of the high-momentum fluctuations in nuclei from asymptotic momentum distributions
• Contact matrix in dilute quantum systems
• Short-range correlations and the charge density
• The Generalized Nuclear Contact and its Application to the Photoabsorption Cross-Section
• P-Wave Contact Tensor -- Universal Properties of Axisymmetry-Broken P-Wave Fermi Gases
• BeAGLE: Benchmark $e$A Generator for LEptoproduction in high energy lepton-nucleus collisions
• Cooper quartet correlations in infinite symmetric nuclear matter
• Phase-space distributions of nuclear short-range correlations
• Deuteron electrodisintegration with unitarily evolved potentials
• Contact representation of short range correlation in light nuclei studied by the High-Momentum Antisymmetrized Molecular Dynamics
• Recent progress in the electroweak structure of light nuclei using quantum Monte Carlo methods
• Universality of many-body two-nucleon momentum distributions: the correlated nucleon spectral function of complex nuclei revisited
• Measuring Recoiling Nucleons from the Nucleus with the Electron Ion Collider
• $s$-wave Contacts of Quantum Gases in Quasi-one and Quasi-two Dimensions
• Short range correlations - The important role of few-body dynamics in many-body systems
• High-resolution momentum distributions from low-resolution wave functions
• Universal Short Range Correlations in Bosonic Helium Clusters
• Nucleon Effective E-Mass in Neutron-Rich Matter from the Migdal-Luttinger Jump
• The quasi-deuteron model at low RG resolution
• A microscopic nucleon spectral function for finite nuclei featuring two- and trhee-nucleon short-range correlations: I. The model vs. ab-initio calculations for the three-nucleon systems
• Contact formalism for coupled channels
• Non-Universal and Universal Aspects of The Large Scattering Length Limit
• P-wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps
• How to renormalize coupled cluster theory
• Nuclear contacts of unstable nuclei
• The Mass of Short-Range Correlated Nucleon
• Precise Measurement of Short-Range Correlations in Nuclei from Bremsstrahlung Gamma Ray Emission in Low-Energy Heavy-Ion Collisions
• Universal laws for nuclear contacts
• Studying Short-Range Correlations with Real Photon Beams at GlueX
• Three-body contact for fermions. I. General relations
• Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling
• Discovery vs. Precision in Nuclear Physics- A Tale of Three Scales
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Nuclear three-body short-range correlations in coordinate space
• Isospin-symmetry implications for nuclear two-body distributions and short-range correlations
• Observing short-range correlations in nuclei through ${\rho }^0$ photo-production
• Structural properties of bosonic He clusters with N=2-10 for different potential models at the physical point and at unitarity
• On nuclear short-range correlations and the zero-energy eigenstates of the Schrodinger equation
• Predicted Measurements of the Tensor-to-Scalar Transition in the CLAS12 Nuclear Targets Experiment
• Systematic study of large-momentum distribution in nuclei with the operator product expansion
• Precision measurements of A=3 nuclei in Hall B
• Neutron Star Equation of State with Nucleon Short-Range Correlations: A Concise Review and Open Issues