Nuclear Theory
[Submitted on 16 Nov 2005 (v1), last revised 21 Dec 2005 (this version, v2)]
Title:The near threshold N N -> d pi reaction in chiral perturbation theory
View PDFAbstract: The near-threshold n p -> d pi0 cross section is calculated in chiral perturbation theory to next-to-leading order in the expansion parameter sqrt{M m_pi}/Lambda_chi. At this order irreducible pion loops contribute to the relevant pion-production operator. While their contribution to this operator is finite, considering initial-and final-state distortions produces a linear divergence in its matrix elements. We renormalize this divergence by introducing a counterterm, whose value we choose in order to reproduce the threshold n p -> d pi0 cross section measured at TRIUMF. The energy-dependence of this cross section is then predicted in chiral perturbation theory, being determined by the production of p-wave pions, and also by energy dependence in the amplitude for the production of s-wave pions. With an appropriate choice of the counterterm, the chiral prediction for this energy dependence converges well.
Submission history
From: Anders GĂ„rdestig [view email][v1] Wed, 16 Nov 2005 20:00:46 UTC (31 KB)
[v2] Wed, 21 Dec 2005 18:02:46 UTC (32 KB)
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