Deuteron form factors in chiral effective theory: regulator-independent results and the role of two-pion exchange

TL;DR

This paper computes deuteron form factors using chiral effective theory, demonstrating regulator-independent results and comparing coordinate- and momentum-space approaches, with predictions aligning well with experimental data up to 600 MeV.

Contribution

It provides a regulator-independent framework for calculating deuteron form factors within chiral effective theory, including two-pion exchange effects and comparing different computational approaches.

Findings

Regulator-independent results are achieved as the cutoff is removed.

Coordinate-space boundary conditions are equivalent to momentum-space limits.

Predictions agree with data up to 600 MeV when using phenomenological nucleon structure.

Abstract

We evaluate the deuteron charge, quadrupole, and magnetic form factors using wave functions obtained from chiral effective theory ($\chi$ET) when the potential includes one-pion exchange, chiral two-pion exchange, and genuine contact interactions. We study the manner in which the results for form factors behave as the regulator is removed from the $\chi$ET calculation, and compare co-ordinate- and momentum-space approaches. We show that, for both the LO and NNLO chiral potential, results obtained by imposing boundary conditions in co-ordinate space at $r=0$ are equivalent to the $\Lambda \to \infty$ limit of momentum-space calculations. The regulator-independent predictions for deuteron form factors that result from taking the $\Lambda \to \infty$ limit using the LO $\chi$ET potential are in reasonable agreement with data up to momentum transfers of order 600 MeV, provided that phenomenological information for nucleon structure is employed. In this range the use of the NNLO $\chi$ET potential results in only small changes to the LO predictions, and it improves the description of the zero of the charge form factor.