Pion production in nucleon-nucleon collisions in chiral effective field theory with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>Δ</mml:mi><mml:mo>(</mml:mo><mml:mn>1232</mml:mn></mml:mrow></mml:math>) degrees of freedom

Filin, A. A.; Baru, V.; Epelbaum, E.; Krebs, H.; Hanhart, C.; Myhrer, F.

doi:10.1103/physrevc.88.064003

Cited by 14 publications

(41 citation statements)

References 53 publications

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“…Notice that the contributions to the scattering amplitude which distinguish between the CCχEFT−∆ and χEFT−∆ approaches were argued in Ref. [15] to be of a higher order than the one considered in our calculation. Since most of the modern phenomenological and chiral N N potentials do not include the N N → N ∆ transition explicitly, we will use this strategy to study the influence of different N N wave functions on the results.…”

Section: Formalismmentioning

confidence: 61%

“…[9,10] for pioneering studies along this line and Refs. [11][12][13][14][15] for more recent applications of chiral EFT to the pion-production reaction 1 . As mentioned, the measured near-threshold cross section for the neutral pion production channel is suppressed by almost an order of magnitude compared to charged pion-production channels.…”

Section: Introductionmentioning

confidence: 99%

“…However, in order to extract reliably CSB observables, it is imperative to have an accurate description of the dominant isospin-symmetric amplitude and to ensure that the expansion of chiral EFT converges. To examine the convergence of chiral EFT, the pp → dπ + channel is a preferable reaction since: (i) unlike pp → ppπ 0 , there is no suppressions of leadingorder (LO) contribution in this charged pion production channel [7,[13][14][15], and (ii) precise experimental data from hadronic atom measurements are available [21,22]. In this work we summarize the various contributions to the pion production operator, which were evaluated up to next-to-next-to-leading order (NNLO) in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…This suppression is naturally explained in chiral EFT [1,2], where one finds the leading-order amplitude to pp → ppπ 0 to be numerically very small because the dominant isovector Weinberg-Tomozawa operator does not contribute. A quantitative understanding of neutral pion production therefore requires the inclusion of higher-order corrections [9,10,14,15].…”

Section: Introductionmentioning

confidence: 99%

“…In this work we summarize the various contributions to the pion production operator, which were evaluated up to next-to-next-to-leading order (NNLO) in Refs. [14,15], and calculate the pp → dπ + cross section near threshold in order to test the convergence of chiral expansion of chiral EFT.…”

Section: Introductionmentioning

confidence: 99%

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Threshold pion production in proton-proton collisions at NNLO in chiral EFT

et al. 2016

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The reaction N N → N N π offers a good testing ground for chiral effective field theory at intermediate energies. It challenges our understanding of the first inelastic channel in nucleon-nucleon scattering and of the charge-symmetry breaking pattern in hadronic reactions. In our previous studies, we presented a complete calculation of the pion-production operator for s-wave pions upto-and-including next-to-next-to-leading order (NNLO) in the formulation of chiral effective field theory, which includes pions, nucleons and ∆(1232) degrees of freedom. In this paper we calculate the near threshold cross section for the pp → dπ + reaction by performing the convolution of the obtained operators with nuclear wave functions based on modern phenomenological and chiral potentials. The available chiral N N wave functions are constructed with a cutoff comparable with the momentum transfer scale inherent in pion production reactions. Hence, a significant portion of the dynamical intermediate-range physics is thereby cut off by them. On the other hand, the NNLO amplitudes evaluated with phenomenological wave functions appear to be largely independent of the N N model used and give corrections to the dominant leading order contributions as expected from dimensional analysis. The result gives support to the counting scheme used to classify the pion production operators, which is a precondition for a reliable investigation of the chirally suppressed neutral pion production. The explicit inclusion of the ∆(1232) is found to be important but smaller than expected due to cancellations.

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Section: Formalismmentioning

confidence: 61%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Threshold pion production in proton-proton collisions at NNLO in chiral EFT

et al. 2016

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Charge symmetry breaking in dd→He4π0 with WASA-at-COSY

Adlarson¹,

Augustyniak²,

Bardan³

et al. 2014

Physics Letters B

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Charge symmetry breaking (CSB) observables are a suitable experimental tool to examine effects induced by quark masses on the nuclear level. Previous high precision data from TRIUMF and IUCF are currently used to develop a consistent description of CSB within the framework of chiral perturbation theory. In this work the experimental studies on the reaction dd → 4 Heπ 0 have been extended towards higher excess energies in order to provide information on the contribution of p-waves in the final state. For this, an exclusive measurement has been carried out at a beam momentum of p d = 1.2 GeV/c using the WASA-at-COSY facility. The total cross section amounts to σ tot = (118 ± 18 stat ± 13 sys ± 8 ext ) pb and first data on the differential cross section are consistent with s-wave pion production.

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Nucleon–nucleon resonances at intermediate energies using a complex energy formalism

Papadimitriou

Vary

2015

Physics Letters B

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We apply our method of complex scaling, valid for a general class of potentials, in a search for nucleonnucleon S-matrix poles up to 2 GeV laboratory kinetic energy. We find that the realistic potentials JISP16, constructed from inverse scattering, and chiral field theory potentials N 3 LO and N 2 LO opt support resonances in energy regions well above their fit regions. In some cases these resonances have widths that are small when compared with the real part of the S-matrix pole.

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Pion production in nucleon-nucleon collisions in chiral effective field theory withΔ(1232) degrees of freedom

Cited by 14 publications

References 53 publications

Threshold pion production in proton-proton collisions at NNLO in chiral EFT

Threshold pion production in proton-proton collisions at NNLO in chiral EFT

Charge symmetry breaking in dd→He4π0 with WASA-at-COSY

Nucleon–nucleon resonances at intermediate energies using a complex energy formalism

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