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- W2021189327 endingPage "116" @default.
- W2021189327 startingPage "69" @default.
- W2021189327 abstract "We use chiral perturbation theory (ChPT) to calculate the π−d scattering length with an accuracy of a few percent, including isospin-violating corrections in both the two- and three-body sectors. In particular, we provide the technical details of a recent letter (Baru et al., 2011) [1], where we used data on pionic deuterium and pionic hydrogen atoms to extract the isoscalar and isovector pion–nucleon scattering lengths a+ and a−. We study isospin-breaking contributions to the three-body part of aπ−d due to mass differences, isospin violation in the πN scattering lengths, and virtual photons. This last class of effects is ostensibly infrared enhanced due to the smallness of the deuteron binding energy. However, we show that the leading virtual-photon effects that might undergo such enhancement cancel, and hence the standard ChPT counting provides a reliable estimate of isospin violation in aπ−d due to virtual photons. Finally, we discuss the validity of the Goldberger–Miyazawa–Oehme sum rule in the presence of isospin violation, and use it to determine the charged-pion–nucleon coupling constant." @default.
- W2021189327 created "2016-06-24" @default.
- W2021189327 creator A5025890542 @default.
- W2021189327 creator A5057754049 @default.
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- W2021189327 creator A5063786122 @default.
- W2021189327 creator A5070452759 @default.
- W2021189327 creator A5091328951 @default.
- W2021189327 date "2011-12-01" @default.
- W2021189327 modified "2023-10-17" @default.
- W2021189327 title "Precision calculation of threshold scattering, πN scattering lengths, and the GMO sum rule" @default.
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