2009
DOI: 10.1103/physrevc.80.044003
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p-wave pion production from nucleon-nucleon collisions

Abstract: We investigate p-wave pion production in nucleon-nucleon collisions up to next-to-next-to-leading order in chiral effective field theory. In particular, we show that it is possible to describe simultaneously the p-wave amplitudes in the pn → ppπ − , pp → pnπ + , pp → dπ + channels by adjusting a single low-energy constant accompanying the short-range operator which is available at this order. This study provides a non-trivial test of the applicability of chiral effective field theory to reactions of the type N… Show more

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Cited by 40 publications
(58 citation statements)
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References 73 publications
(128 reference statements)
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“…[20,26] showed a satisfactory agreement with the data. Meanwhile, for pion s-waves loop diagrams start to contribute individually already at NLO.…”
supporting
confidence: 76%
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“…[20,26] showed a satisfactory agreement with the data. Meanwhile, for pion s-waves loop diagrams start to contribute individually already at NLO.…”
supporting
confidence: 76%
“…The results of Refs. [26,27] provide strong indications for a good convergence of the s-and pwave pion production operators in the charged channels where the operators are natural and no suppression at LO takes place. On the other hand, s-wave pion production in pp → ppπ 0 looks exceptional since the experimental cross section in this channel is suppressed by more than an order of magnitude as compared to the charged channels near threshold.…”
Section: Summary and Discussionmentioning
confidence: 99%
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“…This calculation is a particular beautiful example how very different quantities and processes are related through the same LECs -here the dimension two LEC c 5 that drives the strong IV in the nucleon sector [15]. It also shows that a refined NLO calculation of A fb will offer a viable alternative to extract this fundamental quantity (the corresponding isospin-symmetric calculations of pion production where recently performed [16]). …”
Section: Isospin-breaking In the Pionnucleon Scattering Lengthsmentioning
confidence: 99%
“…The quality of this approximation was also checked by explicit calculations of the d-wave production amplitudes within chiral effective field theory up to order m π /m N (NNLO) [36]. These show that the phase assumptions made here should be valid to within ±2…”
Section: Partial Wave Decompositionmentioning
confidence: 99%