Phase-shift analysis of pd elastic scattering below break-up threshold

Huttel, E.; Arnold, W.; Baumgart, Helmut; Berg, Hermann; Clausnitzer, G.

doi:10.1016/0375-9474(83)90369-x

Cited by 48 publications

(21 citation statements)

References 23 publications

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“…Our result for the scattering length agrees with older experimental determinations [5,6] but deviates from the more recent determination of Black et al [1] and potential-model calculations. At the same time, our results for the phase shifts agree very well with those obtained by Kievsky et al [35] in a calculation using the AV18 N N potential (see crosses in Fig.…”

Section: Resultssupporting

confidence: 73%

“…While this falls in line with theoretical extractions of the quantity based on potential-model calculations [2][3][4] that find values for 4 a p-d close to about 13.8 fm (see Table 1 in Ref. [1] for details), it deviates quite significantly from older experimental determinations of 4 a p-d that find values between (11.11 +0.25 −0.24 ) fm [5] and (11.88 +0.4 −0.1 ) fm [6] (cf. Table 2 in Ref.…”

Section: Introductionsupporting

confidence: 82%

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Precision calculation of the quartet-channelp−dscattering length

König

Hammer

2014

Phys. Rev. C

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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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Section: Resultssupporting

confidence: 73%

Section: Introductionsupporting

confidence: 82%

Precision calculation of the quartet-channelp−dscattering length

König

Hammer

2014

Phys. Rev. C

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“…The very weak λ-dependence allows us to unambiguously extrapolate to λ = 0 and obtain, at N 2 LO, 4 a p-d = (10.9±0.4) fm. This agrees with older experimental determinations [5,6] but deviates from the more recent determination of Black et al [1] and potentialmodel calculations [2][3][4].…”

Section: Resultssupporting

confidence: 78%

“…The most recent determination of this quantity, carried out by Black et al [1], extracts a value of 4 a p-d = (14.7 ± 2.3) fm. While this falls in line with theoretical extractions of the quantity based on potential-model calculations [2][3][4] that find values close to about 13.8 fm, it deviates quite significantly from older experimental results for 4 a p-d between 11 and 12 fm [5,6]. In this work, we present a theoretical calculation of 4 a p-d using pionless effective field theory (pionless EFT).…”

Section: Introductionsupporting

confidence: 80%

The proton–deuteron scattering length in pionless EFT

König

Hammer

2016

EPJ Web of Conferences

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Abstract. We present a fully perturbative calculation of the quartet-channel protondeuteron scattering length ( 4 a p-d ) up to next-to-next-to-leading order (NNLO) in pionless effective field theory. In particular, we use a framework that consistently extracts the Coulomb-modified effective range function for a screened Coulomb potential in momentum space. We find a natural convergence pattern as we go to higher orders in the EFT expansion. Our NNLO result of (10.9 ± 0.4) fm agrees with older experimental determinations but deviates from more recent calculations, which find values around 14 fm. To resolve this discrepancy, we discuss the scheme dependence of Coulomb subtractions in a three-body system.

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“…It is also important to experimentally test the theoretical calculations at lower energies. One motivation is to extract the p-d scattering lengths, for which past experimental results [2] have persistently disagreed with theoretical estimates [3]. A further advantage is that at low energies the contributions from higher partial waves are reduced, so that the remaining important partial waves can be better investigated.…”

mentioning

confidence: 99%

The three-nucleon system near the N-d threshold

et al. 1997

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The three-nucleon system is studied at energies a few hundred keV above the N-d threshold. Measurements of the tensor analyzing powers T 20 and T 21 for p-d elastic scattering at E c.m. = 432 keV are presented together with the corresponding theoretical predictions. The calculations are extended to very low energies since they are useful for extracting the p-d scattering lengths from the experimental data. The interaction considered here is the Argonne V18 potential plus the Urbana three-nucleon potential. The calculation of the asymptotic D-to S-state ratio for 3 H and 3 He, for which recent experimental results are available, is also presented.

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Phase-shift analysis of pd elastic scattering below break-up threshold

Cited by 48 publications

References 23 publications

Precision calculation of the quartet-channelp−dscattering length

Precision calculation of the quartet-channelp−dscattering length

The proton–deuteron scattering length in pionless EFT

The three-nucleon system near the N-d threshold

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