Scattering of decuplet baryons in chiral effective field theory

Haidenbauer, J.; Petschauer, S.; Kaiser, Norbert; Meißner, Ulf‐G.; Weise, W.

doi:10.1140/epjc/s10052-017-5309-4

Cited by 35 publications

(41 citation statements)

References 87 publications

(205 reference statements)

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“…The potential for ps exchange needs to be multiplied with the expectation values for the appropriate spin (σ 1 · σ 2 , Σ 1 · σ 2 , Σ 1 · Σ 2 ) and/or isospin operators, see Ref. [27], indicated in Eq. (1) symbolically by O.…”

Section: Ingredientsmentioning

confidence: 99%

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Phenomenological view on baryon-baryon potentials from lattice QCD simulations

Haidenbauer

Meißner

2019

Eur. Phys. J. A

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A qualitative discussion on the range of the potentials as they result from the phenomenological mesonexchange picture and from lattice simulations by the HAL QCD Collaboration is presented. For the former pionand/or η-meson exchange are considered together with the scalar-isoscalar component of correlated ππ/KK exchange. It is observed that the intuitive expectation for the behavior of the baryon-baryon potentials for large separations, associated with the exchange of one and/or two pions, does not always match with the potentials extracted from the lattice simulations. Only in cases where pion exchange provides the longest ranged contribution, like in the ΞN system, a reasonable qualitative agreement between the phenomenological and the lattice QCD potentials is found for baryonbaryon separations of r 1 fm. For the ΩN and ΩΩ interactions where isospin conservation rules out one-pion exchange a large mismatch is observed, with the potentials by the HAL QCD Collaboration being much longer ranged and much stronger at large distances as compared to the phenomenological expectation. This casts some doubts on the applicability of using these potentials in few-or many-body systems.

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Section: Ingredientsmentioning

confidence: 99%

“…On the other hand, lattice QCD calculations suggest g 1 ≈ g A /2 (g 1 ≈ 0.60) [32]. Note that the decuplet-decuplet coupling constant f DD used in Table 1 is f DD ≡ g 1 /(2 f π )/9, due to our normalization of the isospin-3/2 operators [27,33], so that f ∆∆π = f NNπ /5 for the quark-model value.…”

Section: Ingredientsmentioning

confidence: 99%

Phenomenological view on baryon-baryon potentials from lattice QCD simulations

Haidenbauer

Meißner

2019

Eur. Phys. J. A

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“…Chiral EFT for baryon-baryon (BB) interactions in the strange sector has been formulated in Refs. [25][26][27][28][29][30][31][32][33][34][35][36][37][38] using the non-relativistic framework. In these studies, the standard Weinberg power counting for nucleon-nucleon (NN) interactions is extended to the non-zero strangeness sectors of the baryon-baryon interaction.…”

Section: Introductionmentioning

confidence: 99%

Λ -nucleon scattering in baryon chiral perturbation theory

2020

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We calculate the lambda-nucleon scattering phase shifts and mixing angles by applying timeordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. Scattering amplitudes are obtained by solving the corresponding coupledchannel integral equations that have a milder ultraviolet behavior compared to their non-relativistic analogs. This allows us to consider the removed cutoff limit in our leading-order calculations also in the 3 P 0 and 3 P 1 partial waves. We find that, in the framework we are using, at least some part of the higher-order contributions to the baryon-baryon potential in these channels needs to be treated nonperturbatively and demonstrate how this can be achieved in a way consistent with quantum field theoretical renormalization for the leading contact interactions. We compare our results with the ones of the non-relativistic approach and lattice QCD phase shifts obtained for non-physical pion masses.

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“…The Bonn-Jülich and later Munich groups have pioneered chiral EFT for baryon-baryon interactions in the strange sector using the non-relativistic formulation [23][24][25][26][27][28][29][30][31][32][33][34][35][36]. In these studies the standard Weinberg power counting for nucleon-nucleon (NN) interactions extended to the strangeness-S = −1 (i.e.…”

Section: Introductionmentioning

confidence: 99%

Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory

et al. 2019

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We study baryon-baryon scattering by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. We derive the corresponding diagrammatic rules paying special attention to complications caused by momentumdependent interactions and propagators of particles with non-zero spin. We define the effective potential as a sum of two-baryon irreducible contributions of time-ordered diagrams and derive a system of integral equations for the scattering amplitude, which provides a coupled-channel generalization of the Kadyshevsky equation. The obtained leading-order baryon-baryon potentials are perturbatively renormalizable, and the corresponding integral equations have unique solutions in all partial waves. We discuss the issue of additional finite subtractions required to improve the ultraviolet convergence of (finite) loop integrals on the example of nucleon-nucleon scattering in the 3 P 0 partial wave. Assuming that corrections beyond leading order can be treated perturbatively, we obtain a fully renormalizable formalism which can be employed to study baryon-baryon scattering.

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Scattering of decuplet baryons in chiral effective field theory

Cited by 35 publications

References 87 publications

Phenomenological view on baryon-baryon potentials from lattice QCD simulations

Phenomenological view on baryon-baryon potentials from lattice QCD simulations

Λ -nucleon scattering in baryon chiral perturbation theory

Towards baryon-baryon scattering in manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory

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