The Power Of Effective Field Theories In Nuclei: The Deuteron, NN Scattering and Electroweak Processes

Abstract

We show how effectively effective quantum field theories work in nuclear physics. Using the physically transparent cut-off regularization, we study the simplest nuclear systems of two nucleons for both bound and scattering states at a momentum scale much less than the pion mass. We consider all the static properties of the deuteron, the two-nucleon scattering phase-shifts, the n + p --> d + γprocess at thermal energy and the solar proton fusion process p + p --> d + e(+) + ν(e), and we demonstrate that these are all described with great accuracy in the expansion to the next-to-leading order. We explore how a "new" degree of freedom enters in an effective theory by turning on and off the role of the pion in the Lagrangian.

27 pages, Latex, 3 eps files, epsfig needed, slightly modified, to be published in Nucl. Phys. A

References in corpus (5)

• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• The Solar Proton Burning Process Revisited In Chiral Perturbation Theory
• Regularization Methods for Nucleon-Nucleon Effective Field Theory
• In-Medium Effective Axial-Vector Coupling Constant

Cited by in corpus (48)

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• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Towards a Perturbative Theory of Nuclear Forces
• Nucleon-Nucleon Effective Field Theory Without Pions
• NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
• The nucleon-nucleon interaction
• Chiral 2pi exchange at order four and peripheral NN scattering
• Nucleon-deuteron elastic scattering as a tool to probe properties of three-nucleon forces
• Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
• Improving the Convergence of NN Effective Field Theory
• Regularization, renormalization and "peratization" in effective field theory for two nucleons
• Neutrino Reactions on Deuteron
• Renormalization of the Deuteron with One Pion Exchange
• The three- and four-nucleon systems from chiral effective field theory
• On the renormalization of the one-pion exchange potential and the consistency of Weinberg's power counting
• How (not) to renormalize integral equations with singular potentials in effective field theory
• Effective field theory of the deuteron with dibaryon field
• Isoscalar M1 and E2 Amplitudes in n+p -> d+gamma
• Effective chiral theory of nucleon-nucleon scattering
• Nucleon-Nucleon Interaction: A Typical/Concise Review
• Up-to N${}^3$LO heavy-baryon chiral perturbation theory calculation for the M1 properties of three-nucleon systems
• Three-Nucleon Force Effects in Nucleon Induced Deuteron Breakup: Predictions of Current Models (I)
• Systematic Low-Energy Effective Theory for Magnons and Charge Carriers in an Antiferromagnet
• Solar-neutrino reactions on deuteron in effective field theory
• Deuteron electromagnetic properties and the viability of effective field theory methods in the two-nucleon system
• About the Equivalence of Cut-off and Renormalised Effective Field Theories
• Two-Hole Bound States from a Systematic Low-Energy Effective Field Theory for Magnons and Holes in an Antiferromagnet
• Chiral NN model and Ay puzzle
• Asymmetry in $\vec{n}+p->d+\gamma$
• Compton Scattering on the Deuteron in Baryon Chiral Perturbation Theory
• Improving the ultraviolet behavior in baryon chiral perturbation theory
• Renormalization schemes and the range of two-nucleon effective field theory
• Consistency of the effective-field-theory approach to the nucleon-nucleon interaction problem revisited
• Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory
• The Anapole Form Factor of the Deuteron
• Renormalization of ${}^1{S}_0$ NN scattering amplitude in effective field theory
• The near threshold N N -> d pi reaction in chiral perturbation theory
• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• Nucleon-nucleon interaction in chiral EFT with a finite cutoff: explicit perturbative renormalization at next-to-leading order
• Scaling Of Chiral Lagrangians And Landau Fermi Liquid Theory For Dense Hadronic Matter
• NN scattering in higher derivative formulation of baryon chiral perturbation theory
• Nucleon Polarizabilities from Deuteron Compton Scattering within a Green's-Function Hybrid Approach
• Tensor Polarized Gamma-Deuteron Compton Scattering in Effective Field Theory
• What hath Weinberg wrought? Reflections on what Weinberg's papers on 'Nuclear Forces from Chiral Lagrangians' did and did not accomplish
• Nucleon-nucleon scattering up to next-to-next-to-leading order in manifestly Lorentz-invariant chiral effective field theory: peripheral phases
• Chiral symmetry in nuclei
• Use of V_{low-k} in a chiral-perturbation-theory description of the $pp\to pp{\pi }^0$ reaction
• Effective Field Theory for Nuclear Physics