Erratum: Three-body hypernuclei in pionless effective field theory [Phys. Rev. C 
<b>100</b>
, 034002 (2019)]

Hildenbrand, Fabian; Hammer, H.-W.

doi:10.1103/physrevc.102.039901

Cited by 20 publications

(37 citation statements)

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“…In general, the most systematic method of renormalization is to include them in all the inelastic channels as well, e.g., as pursued in Ref. [7,32]. In the present case we find that the latter method in these systems leads to certain uncontrollable numerical instabilities in determining the limit cycle behaviors of g (A,B) 3…”

Section: B Integral Equationsmentioning

confidence: 59%

“…A typical signature of the onset of such universality is the appearance of a RG limit cycle due to the breakdown from an exact to a discrete scaling invariance, and consequently the emergence of a geometric tower of arbitrary shallow three-body Efimov bound states [26,31]. In the context of hypernuclear physics, the Efimov effect and its role in the prediction and formation of three-body exotic bound states have been discussed in a number of recent theoretical works [7,[27][28][29]32] based on π / EFT analyses at leading order. In the following we use a similar set-up to investigate whether Efimov effect can be manifest in the ΛΛT system.…”

Section: Introductionmentioning

confidence: 99%

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${}_{ΛΛ}^{5}$H and ${}_{ΛΛ}^{5}$He Hypernuclei reexamined in Halo/Cluster Effective Theory

Meher,

Raha

2020

Preprint

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The J = 1/2 iso-doublet double-Λ hypernuclei, namely, 5 ΛΛ H and 5 ΛΛ He, are examined as the three-body cluster states, ΛΛt (t ≡ 3 H or triton) and ΛΛh (h ≡ 3 He or helion), respectively, in a model independent framework utilizing pionless halo effective field theory. Both singlet and triplet states of the ΛT (T ≡ t, h) subsystems are used in the elastic channel for the study of 4 Λ H−Λ and 4 Λ He−Λ scattering processes. A prototypical leading order investigation yields a ΛΛ separation energy (BΛΛ) of 5 ΛΛ He greater than that of 5 ΛΛ H, in agreement with the existing results from rigorous Faddeev calculation analyses using potential model framework. In particular, our study of the sharp momentum cut-off dependence of the non-asymptotic solutions to the coupled integral equations, upon normalization with respect to a single potential model predicted (BΛΛ , aΛΛ) data point (aΛΛ being the S-wave ΛΛ scattering length) for each ΛΛT iso-doublet, yields results with reasonably good agreement with potential model analyses for cut-off scales close to Λc ∼ 230 − 240 MeV. This is consistent with low-energy ΛΛ interaction mechanism dominated by two π or σ meson exchange. Finally, we present a preliminary estimate of the S-wave ΛΛT three-body scattering lengths at the leading order in the effective theory for several input values of aΛΛ which were earlier predicted from several existing phenomenological analyses.

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Section: B Integral Equationsmentioning

confidence: 59%

Section: Introductionmentioning

confidence: 99%

${}_{ΛΛ}^{5}$H and ${}_{ΛΛ}^{5}$He Hypernuclei reexamined in Halo/Cluster Effective Theory

Meher,

Raha

2020

Preprint

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“…In this exploratory study we calculate the Λd correlation functions in the LL formalism (3), based on Λd ERE parameters taken from the literature. Values for the parameters in the doublet S-wave can be found in a variety of works [50][51][52][53][54][55] . As mentioned above, there is a bound state in this partial wave, the hypertriton, which provided an important incentive for pertinent calculations.…”

Section: λD Scattering and λD Correlation Functionsmentioning

confidence: 99%

“…Nonetheless, there is a series of Faddeev-type studies and also variational calculations starting with the pioneering work of Schick and Collaborators in the 1960s [43][44][45][46] and followed by others [47][48][49][50][51][52][53]. Recently, Λd scattering at energies close to the threshold has been studied within pionless effective field theory (/ πEFT) [54][55][56].…”

Section: Introductionmentioning

confidence: 99%

Exploring the $Λ$-deuteron interaction via correlations in heavy-ion collisions

Haidenbauer

2020

Preprint

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Λ-deuteron two-particle momentum correlation functions, to be measured in high-energy heavyion collisions, are investigated. In particular, the question is addressed whether such correlations can serve as an additional and alternative source of information on the elementary ΛN interaction. The study is performed within the Lednicky-Lyuboshits formalism, utilizing an effective range expansion for the two relevant S-wave Λd amplitudes with parameters taken from the literature. It is found that in collisions characterized by a large emitting source the Λd correlation function is predominatly sensitive to the quartet state ( 4 S 3/2 ). In contrast, for small source sizes the contribution from the doublet partial wave ( 2 S 1/2 ) could be significant. Though the latter is constrained by the hypertriton binding energy, its present experimental uncertainty impedes an accurate determination of the doublet amplitude and, in turn, complicates conclusions on the quartet state.

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“…[5,6] and recently extended to lattice nuclei [7][8][9][10]. Past hypernuclear applications are limited to 3 Λ Z [11][12][13] and to A=4,6 Λ-Λ-core three-body calculations [14,15]. The calculations reviewed below are the first systematic single-and double-Λ hypernuclear studies covering the full nuclear s shell.…”

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confidence: 99%

Recent progress on hypernuclei

Gal

2019

Preprint

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Some of last year's progress made in hypernuclear physics is reviewed as follows: (i) resolving the 5 Λ He overbinding problem in single-Λ hypernuclei [1]; (ii) arguing that the onset of binding double-Λ hypernuclei is most likely at A=5, with the neutral systems 3 ΛΛ n and 4 ΛΛ n unbound by a large margin [2]; and (iii) revising the calculated value of the loosely bound 3 Λ H lifetime to a level of ∼20% shorter than the free Λ lifetime [3], given recent claims from relativistic heavy ion experiments that τ ( 3 Λ H) is shorter than τΛ by as much as ≈(30±8)%. Also discussed briefly in this context is the lifetime expected for the questionable 3 Λ n hypernucleus.

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Erratum: Three-body hypernuclei in pionless effective field theory [Phys. Rev. C 100 , 034002 (2019)]

Cited by 20 publications

References 0 publications

${}_{ΛΛ}^{5}$H and ${}_{ΛΛ}^{5}$He Hypernuclei reexamined in Halo/Cluster Effective Theory

${}_{ΛΛ}^{5}$H and ${}_{ΛΛ}^{5}$He Hypernuclei reexamined in Halo/Cluster Effective Theory

Exploring the $Λ$-deuteron interaction via correlations in heavy-ion collisions

Recent progress on hypernuclei

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