Scattering lengths of strangeness<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>baryon-baryon interactions

Gasparyan, A. M.; Haidenbauer, J.; Hanhart, C.

doi:10.1103/physrevc.85.015204

Cited by 28 publications

(30 citation statements)

References 55 publications

(128 reference statements)

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“…The value predicted by the NLO interaction is well within the range suggested by studies of the separation energy of the 6 ΛΛ He hypernucleus. It is also compatible with results for that scattering length obtained from analyses of the ΛΛ invariant mass measured in the reaction 12 C(K − , K + ΛΛX) [34] and of ΛΛ correlations in relativistic heavy-ion collisions [35].…”

Section: Strangeness S = −2 Sectorsupporting

confidence: 77%

Baryon–Baryon Interaction from Chiral Effective Field Theory

Haidenbauer¹

2017

Proceedings of the 12th International Conference on Hypernuclear and Strange Particle Physics (HYP2015)

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Recent results from the ongoing study of the baryon-baryon interaction within chiral effective field theory (EFT) by the Jülich-Bonn-Munich Group are reported. Specifically, a calculation of the inmedium properties of a hyperon-nucleon (Y N) interaction derived within chiral EFT and fitted to ΛN and ΣN scattering data is reviewed. Furthermore, the relevance of three-body forces for hypernuclei is addressed and potentials for the leading order three-baryon interactions are discussed, which involve contact terms and irreducible one-and two-meson exchange diagrams. Finally, first results for baryon-baryon scattering in the strangeness S = −2 sector, obtained in chiral EFT up to NLO, are presented.

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Section: Strangeness S = −2 Sectorsupporting

confidence: 77%

Baryon–Baryon Interaction from Chiral Effective Field Theory

Haidenbauer¹

2017

Proceedings of the 12th International Conference on Hypernuclear and Strange Particle Physics (HYP2015)

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“…[10], or in corresponding K − induced reactions at J-PARC [40]. As discussed in [41], from such data one could even deduce the scattering lengths for specific BB channels which would then provide a clear signal for the presence (or absence) of bound states. First and foremost, however, it would be good to resolve the discrepanices in the present lattice QCD calculations for the ΞΞ system.…”

Section: Discussionmentioning

confidence: 99%

Do ΞΞ bound states exist?

2015

Self Cite

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The existence of baryon-baryon bound states in the strangeness sector is examined in the framework of SU(3) chiral effective field theory. Specifically, the role of SU(3) symmetry breaking contact terms that arise at next-to-leading order in the employed Weinberg power counting scheme is explored. We focus on the 1 S0 partial wave and on baryon-baryon channels with maximal isospin since in this case there are only two independent SU(3) symmetry breaking contact terms. At the same time, those are the channels where most of the bound states have been predicted in the past. Utilizing pp phase shifts and Σ + p cross section data allows us to pin down one of the SU(3) symmetry breaking contact terms and a clear indication for the decrease of attraction when going from the N N system to strangeness S = −2 is found, which rules out a bound state for ΣΣ with isospin I = 2. Assuming that the trend observed for S = 0 to S = −2 is not reversed when going to ΞΣ and ΞΞ makes also bound states in those systems rather unlikely.

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“…Recently, the scattering length a of S-wave scattering is deduced from the 12 C(K − ,K + X) reaction [16], which leads to a = −1.2 ± 0.6 fm [17], and the data for the Au+Au collisions at the Relativistic Heavy Ion Collider [18] are analyzed to obtain a −1.25 fm in Ref. [19].…”

Section: Introductionmentioning

confidence: 99%

ΛΛ4H in halo effective field theory

Ando

Yang

2014

Phys. Rev. C

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The 4 H bound state and the S-wave hypertriton( 3 H)-scattering in spin singlet and triplet channels below the hypertriton breakup momentum scale are studied in halo/cluster effective field theory at leading order by treating the 4 H system as a three-cluster ( --deuteron) system. In the spin singlet channel, the amplitude is insensitive to the cutoff parameter c introduced in the integral equation, and we find that there is no bound state. In this case, the scattering length of the hypertriton-scattering is found to be a 0 = 16.0 ± 3.0 fm. In the spin triplet channel, however, the amplitude obtained by the coupled integral equations is sensitive to c , and we introduce the three-body contact interaction g 1 ( c ). After phenomenologically fixing g 1 ( c ), we find that the correlation between the two-separation energy B from the 4 H bound state and the scattering length a of the S-wave -scattering is significantly sensitive to the value of c .

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Scattering lengths of strangenessS=−2baryon-baryon interactions

Cited by 28 publications

References 55 publications

Baryon–Baryon Interaction from Chiral Effective Field Theory

Baryon–Baryon Interaction from Chiral Effective Field Theory

Do ΞΞ bound states exist?

ΛΛ4H in halo effective field theory

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