A next-to-next-to-leading-order pp→ppπ0 transition operator in chiral perturbation theory

Dmitrašinović, V.; Kubodera, K.; Myhrer, F.; Satô, Tôru

doi:10.1016/s0370-2693(99)01075-8

Cited by 38 publications

(73 citation statements)

References 27 publications

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“…[14], in Ref. [20] it was shown that it is allowed to expand the integrand of the loop integrals before evaluation in powers of m π /M .…”

Section: Evaluation Of Loopsmentioning

confidence: 99%

“…At the same time it was already realized that a modified power counting is nescessary to properly take care of the large momentum transfer characteristic for pion production in N N collisions, however, when applied in its original formulation the results were basically the same for neutral [12] as well as charged pions [13]. Even worse, the corrections at oneloop order (next-to-next-to-leading order (N 2 LO) in the standard counting) turned out to be even larger than the NLO corrections, indicating a divergence of the chiral expansion [14,15].…”

Section: Introductionmentioning

confidence: 97%

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Towards a field theoretic understanding of NN → NNπ

et al. 2006

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We study the production amplitude for the reaction N N → N N π up to next-to-leading order in chiral perturbation theory using a counting scheme that takes into account the large scale introduced by the initial momentum. In particular we investigate a subtlety that arises once the leading loop contributions are convoluted with the N N wavefunctions as demanded by the non-perturbative nature of the N N interaction. We show how to properly identify the irreducible contribution of loop diagrams in such type of reaction. The net effect of the inclusion of all next-to-leading order loops is to enhance the leading rescattering amplitude by a factor of 4/3, bringing its contribution to the cross section for pp → dπ + close to the experimental value.

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“…[14], in Ref. [20] it was shown that it is allowed to expand the integrand of the loop integrals before evaluation in powers of m π /M .…”

Section: Evaluation Of Loopsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Towards a field theoretic understanding of NN → NNπ

et al. 2006

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“…[2,[7][8][9][10][11], did not only fail to describe the data, especially in the pp → ppπ 0 channel, but also revealed a problem with the convergence of the chiral expansion. However, in Ref.…”

Section: Introductionmentioning

confidence: 98%

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

et al. 2013

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A calculation of the pion-production operator up to next-to-next-to-leading order for s-wave pions is performed within chiral effective field theory. In the previous study [Phys. Rev. C 85, 054001 (2012)] we discussed the contribution of the pion-nucleon loops at the same order. Here we extend that study to include explicit Delta degrees of freedom and the 1/m 2 N corrections to the pion-production amplitude. Using the power counting scheme where the Delta-nucleon mass difference is of the order of the characteristic momentum scale in the production process, we calculate all tree-level and loop diagrams involving Delta up to next-to-next-to-leading order. The long-range part of the Delta loop contributions is found to be of similar size to that from the pion-nucleon loops which supports the counting scheme. The net effect of pion-nucleon and Delta loops is expected to play a crucial role in understanding of the neutral pion production data.

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“…The fact that low-and medium-energy strong interactions are controlled by chiral symmetry led to an early hope that chiral effective theories could be used to analyze these processes and achieve a fundamental understanding of the production process. Indeed, there are now tree level calculations [2][3][4][5][6][7] and even loop calculations [8][9][10] available in the literature [11]. The early excitement was quickly abated by the realization that proper evaluation involves surmounting several severe difficulties, which are caused by the high momentum transfer nature of this threshold process.…”

Section: Introductionmentioning

confidence: 99%