Determination of the spin triplet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow></mml:math>scattering length from the final state interaction in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo>⃗</mml:mo></mml:mover><mml:mi>p</mml:mi><mml:mo>→</mml:mo><mml:mi>p</mml:mi><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi mathvariant="nor

Hauenstein, F.; Clement, H.; Kilian, K.; Gillitzer, A.; Jowzaee, S.; Grzonka, D.; Kober, L.; Doroshkevich, E.; Ritman, J.; Krapp, M.; Hanhart, C.; Wüstner, P.; Sefzick, T.; Gast, W.; Haidenbauer, J.; Eyrich, W.; Roderburg, E.; Mertens, M.; Borodina, E.; Moskal, P.; Schröeder, Wolfgang; Wintz, P.; Röder, M.; Klaja, P.; Dzhygadlo, R.; Ehrhardt, K.

doi:10.1103/physrevc.95.034001

Cited by 12 publications

(13 citation statements)

References 21 publications

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“…In particular, this concerns the relative strength of the Λp interaction in the 1 S 0 and 3 S 1 channels. Efforts at the COSY accelerator in Jülich to determine the strength of the spin-triplet Λp interaction from the final-state interaction in the reaction pp → K + Λp [99] suffered from low statistics and, unfortunately, could not provide the desired and urgently needed stringent constraint. Given the lack of appropriate spin-dependent observables, it is fixed in our studies by considering the hypertriton separation energy [1,9,15].…”

Section: Discussionmentioning

confidence: 99%

Hyperon–nucleon interaction within chiral effective field theory revisited

2020

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The ΛN and ΣN interactions are considered at next-to-leading order in SU(3) chiral effective field theory. Different options for the low-energy constants that determine the strength of the contact interactions are explored. Two variants are analysed in detail which yield equivalent results for ΛN and ΣN scattering observables but differ in the strength of the ΛN → ΣN transition potential. The influence of this difference on predictions for light hypernuclei and on the properties of the Λ and Σ hyperons in nuclear matter is investigated and discussed. The effect of the variation in the potential strength of the ΛN -ΣN coupling (also called Λ − Σ conversion) is found to be moderate for the considered 3 Λ H and 4 Λ He hypernuclei but sizable in case of the matter properties. Further, the size of three-body forces and their relation to different approaches to hypernuclear interactions is discussed.PACS. 12.39.Fe Chiral Lagrangians -13.75.Ev Hyperon-nucleon interactions -21.30.Fe Forces in hadronic systems and effective interactions

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Section: Discussionmentioning

confidence: 99%

Hyperon–nucleon interaction within chiral effective field theory revisited

2020

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“…However, the isolation of the spin-singlet amplitude requires a double-polarization experiment [59]. Efforts at the COSY accelerator in Jülich to determine the strength of the spintriplet Λp interaction [60], where only single polarization is required, already suffered from low statistics and, unfortunately, did not provide robust results.…”

Section: Discussionmentioning

confidence: 99%

Implications of an increased Λ-separation energy of the hypertriton

Haidenbauer

Meißner

et al. 2020

Physics Letters B

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Stimulated by recent indications that the binding energy of the hypertriton could be significantly larger than so far assumed, requirements of a more strongly bound 3 Λ H state for the hyperon-nucleon interaction and consequences for the binding energies of A = 4, 5 and 7 hypernuclei are investigated. As basis a Y N potential derived at next-to-leading order in chiral effective field theory is employed, Faddeev and Yakubovsky equations are solved to obtain the corresponding 3-and 4-body binding energies, respectively, and the Jacobi no-core shell model is used for 5 Λ He and 7 Λ Li. It is found that the spin-singlet Λp interaction would have to be much more attractive which can be, however, accommodated within the bounds set by the available Λp scattering data. The binding energies of the 4 Λ He hypernucleus are predicted to be closer to the empirical values than for Y N interactions that produce a more weakly bound 3 Λ H. The quality of the description of the separation energy and excitation spectrum for 7 Λ Li remains essentially unchanged.PACS. 13.75.Ev Hyperon-nucleon interactions -21.80.+a Hypernuclei -21.30.Fe Forces in hadronic systems and effective interactions arXiv:1909.02882v1 [nucl-th]

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“…It was remarked already in the papers on the dispersion integral approach to the analysis of pp → K + Λp data [8][9][10] that the value obtained for the Λp scattering length could be distorted through a reflection of the production of N * isobars in the K + Λ channel. This is typically a problem of limited energy where the Dalitz plot is not sufficiently open and the dependence on the three invariant masses cannot be independently determined.…”

Section: Determining the Neutron-proton Scattering Parameters Frmentioning

confidence: 99%

“…III to the question of whether pp → π + pn could in principle be used to investigate the properties of the low energy pn system. Though data on pp → K + Λp have been directly fitted to determine the Λp scattering length [7], an alterna-tive approach has been advocated that uses a dispersion relation in an approximate treatment that only requires data over a limited range in Q [8][9][10]. In the derivation of this formalism it is assumed that there is no true bound state pole and in Sec.…”

Section: Introductionmentioning

confidence: 99%

Phenomenological study of the pp→π+pn reaction

Fäldt

Wilkin

2018

Phys. Rev. C

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Fully constrained bubble chamber data on the pp → π + pn and pp → π + d reactions are used to investigate the ratio of the counting rates for the two processes as function of the pn excitation energy Q. Though it is important to include effects associated with the p-wave nature of pion production, the data are insufficient to establish unambiguously the dependence on Q. The angular distributions show the presence of higher partial waves which seem to be anomalously large at small Q. The dispersion relation method to determine scattering lengths is extended to encompass cases where, as for the pp → π + pn reaction, there is a bound state and, in a test example, it is shown that the values deduced for the low energy neutron-proton scattering parameters are significantly influenced by the pion p-wave behavior.

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Determination of the spin tripletpΛscattering length from the final state interaction in thep⃗p→pK+
F. Hauenstein¹,
H. Clement²,
K. Kilian³
et al.

Cited by 12 publications

References 21 publications

Hyperon–nucleon interaction within chiral effective field theory revisited

Hyperon–nucleon interaction within chiral effective field theory revisited

Implications of an increased Λ-separation energy of the hypertriton

Phenomenological study of the pp→π+pn reaction

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Determination of the spin tripletpΛscattering length from the final state interaction in thep⃗p→pK+F. Hauenstein1, H. Clement2, K. Kilian3 et al.

Cited by 12 publications

References 21 publications

Hyperon–nucleon interaction within chiral effective field theory revisited

Hyperon–nucleon interaction within chiral effective field theory revisited

Implications of an increased Λ-separation energy of the hypertriton

Phenomenological study of the pp→π+pn reaction

Contact Info

Product

Resources

About

Determination of the spin tripletpΛscattering length from the final state interaction in thep⃗p→pK+
F. Hauenstein¹,
H. Clement²,
K. Kilian³
et al.