Use of V_{low-k} in a chiral-perturbation-theory description of the $pp\to pp{\pi }^0$ reaction

Abstract

Previously, the near-threhold $pp\to pp{\pi }^0$ reaction was studied with the use of transition operators derived from chiral perturbation theory ($\chi$PT) and the nuclear wave functions generated by high-precision phenomenological potentials. A conceptual problem in that approach was that the transition amplitude receives contributions from very high momentum components (above the cutoff scale of $\chi$PT) in the nuclear wave functions. In the present work, we avoid this problem by replacing the "bare" phenomenological potentials with V_{low-k}, which is an effective potential derived from a bare potential by integrating out momentum components higher than a specified cutoff scale. The use of V_{low-k} is found to give an enhancement of the $pp\to pp{\pi }^0$ cross sections over the values obtained with bare potentials. Although this enhancement brings the calculated cross sections closer to the experimental values, the incident-energy dependence of the cross section is not well reproduced, a problem that seems to indicate the necessity of including higher chiral order terms than considered in the present work.

arXiv comment16 pages and 6 figures

References in corpus (41)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Chiral Dynamics in Nucleons and Nuclei
• Effective Field Theory for Few-Nucleon Systems
• Three-Nucleon Forces from Chiral Effective Field Theory
• Model-independent low momentum nucleon interaction from phase shift equivalence
• Three-Body Interactions Among Nucleons and Pions
• Nuclear forces from chiral Lagrangians using the method of unitary transformation II: The two-nucleon system
• Aspects of chiral pion-nucleon physics
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Low momentum nucleon-nucleon potential and shell model effective interactions
• 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 Lagrangian Approach to Exchange Vector Currents in Nuclei
• Chiral Dynamics and Heavy-Fermion Formalism in Nuclei: I. Exchange Axial Currents
• The $pp\to pp{\pi }^0$ Reaction near Threshold: A Chiral Power Counting Approach
• Low momentum nucleon-nucleon potentials with half-on-shell T-matrix equivalence
• Radiative Neutron-Proton Capture in Effective Chiral Lagrangians
• Chiral Three-Nucleon Forces from p-wave Pion Production
• The three- and four-nucleon systems from chiral effective field theory
• Chiral Perturbation Approach to the pp -> pp pi0 Reaction Near Threshold
• Role of heavy-meson exchange in pion production near threshold
• The reaction $pp\to pp{\pi }^0$ near threshold
• Off shell pi N amplitude and the p p->p p pi0 reaction
• Effective theory for the two-nucleon system
• Role of the $\Delta$ isobar in the reaction $NN\to NN\pi$ near threshold
• The Solar Proton Burning Process Revisited In Chiral Perturbation 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
• The Power Of Effective Field Theories In Nuclei: The Deuteron, NN Scattering and Electroweak Processes
• Meson Exchange and Pion Rescattering Contributions to the Cross Section for $pp\to pp{\pi }^0$
• Solar-neutrino reactions on deuteron in effective field theory
• Effective Field Theory Approach To \vec{n} + \vec{p} -> d + γAt Threshold
• The Solar $Hep$ Process
• Nuclear Matrix Elements of Axial-Charge Exchange Currents Derived in Heavy-Fermion Chiral Perturbation Theory
• 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
• Toy Model for Pion Production in Nucleon-Nucleon Collisions
• Pion re-scattering in pi0 production
• Explanation of more effective effective field theory
• Pion re-scattering operator in the S-matrix approach

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• Towards a field theoretic understanding of NN->NNpi
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• Dispersive and absorptive corrections to the pion-deuteron scattering length
• $pp\to pp{\pi }^0$ near threshold in pionless effective theory
• Two-pion-exchange contributions to the pp\to ppπ^0 reaction