The $pp\to pp{\pi }^0$ Reaction near Threshold: A Chiral Power Counting Approach

Abstract

We use power-counting arguments as an organizing principle to apply chiral perturbation theory, including an explicit $\Delta$, to the $pp\to pp{\pi }^0$ reaction near threshold. There are two lowest-order leading mechanisms expected to contribute to the amplitude with similar magnitudes: an impulse term, and a $\Delta$-excitation mechanism. We examine formally sub-leading but potentially large mechanisms, including pion-rescattering and short-ranged contributions. We show that the pion-rescattering contribution is enhanced by off-shell effects and has a sign opposite to that of a recent estimate based on a PCAC pion interpolating field. Our result is that the impulse term interferes destructively with the pion rescattering and $\Delta$-excitation terms. In addition, we have modeled the short-ranged interaction using $\sigma$ and $\omega$ exchange mechanisms. A recoil correction to the impulse approximation is small. The total amplitude obtained including all of these processes is found to yield cross sections substantially smaller than the measured ones.

39 pages, latex, 16 figures, omega pair exchange added, published version

References in corpus (6)

• Chiral Dynamics in Nucleons and Nuclei
• Chiral Perturbation Approach to the pp -> pp pi0 Reaction Near Threshold
• The reaction $pp\to pp{\pi }^0$ near threshold
• Off shell pi N amplitude and the p p->p p pi0 reaction
• Comment on "Role of heavy meson exchange in near threshold N N --> d pi"
• Baryon Isovector Electric Properties and the Large N_c and Chiral Limits

Cited by in corpus (99)

• Modern Theory of Nuclear Forces
• Effective Field Theory for Few-Nucleon Systems
• A New Expansion for Nucleon-Nucleon Interactions
• Two-Nucleon Systems from Effective Field Theory
• Nuclear effective field theory: status and perspectives
• Chiral Perturbation Theory and Baryon Properties
• Meson production in nucleon--nucleon collisions close to the threshold
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• Chiral Symmetry and Three-Nucleon Forces
• Charge Symmetry Breaking and QCD
• How short is too short? Constraining zero-range interactions in nucleon-nucleon scattering
• Chiral Three-Nucleon Forces from p-wave Pion Production
• Towards a field theoretic understanding of NN->NNpi
• Bayesian Methods for Parameter Estimation in Effective Field Theories
• Low Energy Theorems For Nucleon-Nucleon Scattering
• Short-range interactions in an effective field theory approach for nucleon-nucleon scattering
• The Electric Dipole Form Factor of the Nucleon in Chiral Perturbation Theory to Sub-leading Order
• QCD Scales in Finite Nuclei
• The Polarizability of the Deuteron
• Role of the $\Delta$ isobar in the reaction $NN\to NN\pi$ near threshold
• The Solar Proton Burning Process Revisited In Chiral Perturbation Theory
• Charge Symmetry Violation in $pn\to d{\pi }^0$ as a Test of Chiral Effective Field Theory
• The ${\mu }^{-}d$ capture rate in effective field theory
• Complete next-to-leading order calculation for pion production in nucleon-nucleon collisions at threshold
• Chiral Perturbation Theory and the pp -> pp pi0 Reaction Near Threshold
• Effective chiral theory of nucleon-nucleon scattering
• Regularization, Renormalization and Range: The Nucleon-Nucleon Interaction from Effective Field Theory
• Parity Violation in Effective Field Theory and the Deuteron Anapole Moment
• Meson Exchange and Pion Rescattering Contributions to the Cross Section for $pp\to pp{\pi }^0$
• Gamma-Deuteron Compton Scattering in Effective Field Theory
• Survey of charge symmetry breaking operators for dd -> alpha pi0
• Testing Low Energy Theorems in Nucleon-Nucleon Scattering
• The Delta-Delta Intermediate State in 1S0 Nucleon-Nucleon Scattering From Effective Field Theory
• Field Redefinitions at Finite Density
• The reactions $pp\to pp{\pi }^0$ and $pp\to d{\pi }^{+}$ at threshold: The role of the isoscalar $\pi N$ scattering amplitude
• $\pi N$ Scattering in the $\Delta (1232)$ Region in an Effective Field Theory
• p-Wave pion production from nucleon-nucleon collisions
• Meson-exchange $\pi N$ Models in Three-Dimensional Bethe-Salpeter Formulation
• Dispersive and absorptive corrections to the pion-deuteron scattering length
• The N N -> NN pi+ Reaction near Threshold in a Chiral Power Counting Approach
• Realistic Few-Body Physics in the $dd\to \alpha {\pi }^0$ Reaction
• $NN\to NN\pi$ reaction near threshold in a covariant one-boson-exchange model
• A next-to-next-to-leading-order $pp\to pp{\pi }^0$ transition operator in chiral perturbation theory
• Threshold $pp\to pp{\pi }^0$ up to one-loop accuracy
• The Anapole Form Factor of the Deuteron
• The near threshold N N -> d pi reaction in chiral perturbation theory
• Systematic Power Counting in Cutoff Effective Field Theories for Nucleon-Nucleon Interactions and the Equivalence With PDS
• Nucleon Resonance Effects in $pp\to pp{\pi }^0$ near Threshold
• In-Medium Effective Axial-Vector Coupling Constant
• Effective Field Theory calculations of $NN\to NN\pi$
• Heavy-particle formalism with Foldy-Wouthuysen representation
• The nucleon-nucleon potential beyond the static approximation
• Remarks on N N -> N N pi beyond leading order
• Toy Model for Pion Production in Nucleon-Nucleon Collisions
• Charge Symmetry Breaking in the n p --> d pi^0 reaction
• Nuclear Effective Field Theories: Reverberations of the early days
• The Role of the Roper in Chiral Perturbation Theory
• Pion production in nucleon-nucleon collisions in chiral effective field theory: next-to-next-to-leading order contributions
• Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory
• Effects of Relativistic Dynamics in $pp\to pp{\pi }^0$ near Threshold
• $pp\to pp{\pi }^0$ near threshold in pionless effective theory
• Study of the reaction pp \to pp${\pi }^0$ within 10 MeV above the threshold
• Pion production in nucleon-nucleon collisions in chiral effective field theory with Delta(1232)-degrees of freedom
• Chiral O(Q^4) two-body operators for s-wave pion photoproduction on the NN system
• Nucleon-nucleon charge symmetry breaking and the dd -> alpha pi0 reaction
• Tensor Polarized Gamma-Deuteron Compton Scattering in Effective Field Theory
• Comparison of the heavy-fermion and Foldy-Wouthuysen formalisms at third order
• Two-pion-exchange and other higher-order contributions to the $pp\to pp{\pi }^0$ reaction
• Spin Correlation Coefficients in pp-->pnpi+ from 325 to 400 MeV
• Toy Model for Pion Production II: The role of three-particle singularities
• Initial-State Coulomb Interaction in the dd -> alpha pi^0 Reaction
• Nucleon-nucleon interaction: Central potential and pion production
• Two-pion-exchange contributions to the pp\to ppπ^0 reaction
• Threshold pion production in proton-proton collisions at NNLO in chiral EFT
• Isoscalar off-shell effects in threshold pion production from pd collisions
• Impulse approximation in nuclear pion production reactions: absence of a one-body operator
• Anisotropy in the pion angular distribution of the reaction pp -> pp pi0 at 400 MeV
• Use of V_{low-k} in a chiral-perturbation-theory description of the $pp\to pp{\pi }^0$ reaction
• Chiral symmetry in nuclei
• Pion reactions on two--nucleon systems
• Chiral perturbation theory calculation for pn -> dpipi at threshold
• Nucleon decay in the deuteron
• Virtual-pion and two-photon production in pp scattering
• Advances in the field-theoretic understanding of pion production in nucleon-nucleon collisions
• Unitarity constraint for threshold coherent pion photoproduction on the deuteron and chiral perturbation theory
• Pion re-scattering in pi0 production
• ${\pi }^{+}$ Emission from Hypernuclei and the Weak $\Delta I=3/2$ Transitions
• S-wave ${\pi }^0$ Production in pp Collision in a Covariant OBE Model
• Pion re-scattering operator in the S-matrix approach
• Differential cross section and analyzing power of the $\vec{p}p\to pp{\pi }^0$ reaction at a beam energy of 390 MeV
• Impulse approximation in the n p --> d pi^0 reaction reexamined
• Charged and neutral pion production in the S-matrix approach
• Pion absorption from the lowest atomic orbital in 2H, 3H and 3He
• The piNN system - recent progress
• Pion reactions with few-nucleon systems
• Consistency between renormalization group running of chiral operator and counting rule -- Case of chiral pion production operator --
• Charge Symmetry Breaking and Nuclear Pion Production Reactions
• Multiplicity distributions associated to subthreshold events in heavy-ion collisions
• Non-Strange Meson Production with Hadronic Probes