The half-life of radium (Ra226)

Gorshkov, G.V.; Gretchenko, Z. G.; Il'inskaya, T. A.; Kuznetsov, B.S.; Shimanskaya, N.S.

doi:10.1007/bf01472395

“…1(a) and (b) is replaced by a photon-mass regulated full Coulomb Tmatrix first derived by Gorshkov [36,37] and further discussed in Refs. [26,27].…”

Section: Resultsmentioning

confidence: 99%

Precision calculation of the quartet-channelp−dscattering length

König

¹

,

Hammer

²

2014

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We present a fully perturbative calculation of the quartet-channel proton-deuteron scattering length up to next-to-next-to-leading order in pionless effective field theory. We use a framework that consistently extracts the Coulomb-modified effective range function for a screened Coulomb potential in momentum space and allows for a clear linear extrapolation back to the physical limit without screening. Our result of 4 a p-d = (10.9 ± 0.4) fm agrees with older experimental determinations of this quantity but deviates from potential-model calculations and a more recent result from Black et al., which find larger values around 14 fm. As a possible resolution to this discrepancy, we discuss the scheme dependence of Coulomb subtractions in a three-body system.

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“…To estimate the effects from the exchange of more than a single Coulomb-photon, we have performed a calculation where the wavy photon line in Figs. 1(a) and (b) is replaced by a photon-mass regulated full Coulomb Tmatrix first derived by Gorshkov [36,37] and further discussed in Refs. [26,27].…”

Section: Resultsmentioning

confidence: 99%

Precision calculation of the quartet-channel p-d scattering length

König,

Hammer

2013

Preprint

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We present a fully perturbative calculation of the quartet-channel proton-deuteron scattering length up to next-to-next-to-leading order in pionless effective field theory. We use a framework that consistently extracts the Coulomb-modified effective range function for a screened Coulomb potential in momentum space and allows for a clear linear extrapolation back to the physical limit without screening. Our result of 4 a p-d = (10.9 ± 0.4) fm agrees with older experimental determinations of this quantity but deviates from potential-model calculations and a more recent result from Black et al., which find larger values around 14 fm. As a possible resolution to this discrepancy, we discuss the scheme dependence of Coulomb subtractions in a three-body system.

show abstract