Deuteron Matrix Elements in Chiral Effective Theory at Leading Order

Abstract

We consider matrix elements of two-nucleon operators that arise in chiral effective theories of the two-nucleon system. Generically, the short-distance piece of these operators scales as 1/r^n, with r the relative separation of the two nucleons. We show that, when evaluated between the leading-order wave functions obtained in this effective theory, these two-nucleon operators are independent of the cutoff used to renormalize the two-body problem for n=1 and 2. However, for n greater than or equal to 3 general arguments about the short-distance behavior of the leading-order deuteron wave function show that the matrix element will diverge.

7 pages, 5 .eps figures

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Cited by in corpus (9)

• Roy-Steiner-equation analysis of pion-nucleon scattering
• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• Renormalizing Chiral Nuclear Forces: A Case Study of 3P0
• Dispersive and absorptive corrections to the pion-deuteron scattering length
• Deuteron form factors in chiral effective theory: regulator-independent results and the role of two-pion exchange
• Towards a high precision calculation for the pion-nucleus scattering lengths
• Hadronic Atoms
• Pion reactions on two--nucleon systems
• Deuteron radial moments for renormalized chiral potentials