Deuteron Matrix Elements in Chiral Effective Theory at Leading Order

Details Deuteron Matrix Elements in Chiral Effective Theory at Leading Order Deuteron Matrix Elements in Chiral Effective Theory at Leading Order

2006-05-12

arxiv.org/abs/nucl-th/0605024v1

Phys.Lett.B641:164-170,2006

Physics

Nuclear Physics

Nuclear Theory

7 pages, 5 .eps figures

Scientific paper

10.1016/j.physletb.2006.08.053

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.

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