Solution of the 
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 elastic scattering problem using the Faddeev-Yakubovsky equations

Lazauskas, Rimantas

doi:10.1103/physrevc.97.044002

Cited by 40 publications

(42 citation statements)

References 29 publications

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“…As discussed in [24] a set of eleven such operators is sufficient to express any complicated transformation appearing in the solution of a 5-body problem.…”

Section: Formalismmentioning

confidence: 99%

“…We believe it could be of interest to determine unambiguously the S-matrix pole position of these resonant states by undertaking the ab initio solution of this problem with the only input of a realistic NN interaction. Indeed, our recently developed techniques, allowing to solve the 5-body Faddeev-Yakubovsky equations in configuration space, and for the first time applied to calculate n-4 He elastic phase shifts [23,24], provide us the opportunity to investigate the properties of 5 H nucleus from an ab initio theoretical perspective. By solving the 5-nucleon problem in the complex energy plane we present here the first ab initio study of 5 H, involving no approximations on the dynamics.…”

Section: Introductionmentioning

confidence: 99%

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Ab initio calculations of 5H resonant states

2019

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By solving the 5-body Faddeev-Yakubovsky equations in configuration space with realistic nuclear Hamiltonians we have studied the resonant states of 5 H isotope. Two different methods, allowing to bypass the exponentially diverging boundary conditions, have been employed providing consistent results. The existence of 5 H broad J π =1/2 + ,3/2 + ,5/2 + states as S-matrix poles has been confirmed and compared with the, also calculated, resonant states in 4 H isotope. We have established that the positions of these resonances only mildly depend on the nuclear interaction model.

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“…As discussed in [24] a set of eleven such operators is sufficient to express any complicated transformation appearing in the solution of a 5-body problem.…”

Section: Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Ab initio calculations of 5H resonant states

2019

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“…It si worth noticing that this strong repulsion -manifested from 2 H to 6 Li -manifest only in S-wave. Most of these systems have attractive nA P-waves, which in some case like in n-3 H displayed in Figure 1 (see [21]) and 4 He [22][23][24] are even resonant. For N=4, the n-7 Li scattering length becomes again attractive.…”

Section: N-a Scattering Lengthmentioning

confidence: 99%

“…By fixing a S =-150 fm, taking the interaction (1) in all partial waves and keeping S-wave interaction in n-n, their values are respectively E L=1 =+0. 24(2)-0.31 (4)i and E L=2 =+1.02(5)-1.22 (6)i. Notice that the total angular momentum and parity J ⇡ of these resonant states results from the coupling between the quoted L and J ⇡ 17 B = 3/2 , which are degenerated in our calculations.…”

Section: Describing 19 B As a 17 B-n-n Three-body Clustermentioning

confidence: 99%

Low-energy neutron scattering on light nuclei and $^{19}$B as a $^{17}$B-$n$-$n$ three-body system in the unitary limit

Carbonell

Hiyama

Lazauskas

et al. 2020

SciPost Phys. Proc.

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We consider the evolution of the neutron-nucleus scattering length for the lightest nuclei. We show that, when increasing the number of neutrons in the target nucleus, the strong Pauli repulsion is weakened and the balance with the attractive nucleon-nucleon interaction results into a resonant virtual state in 18 B. We describe 19 B in terms of a 17 B-n-n three-body system where the two-body subsystems 17 B-n and n-n are unbound (virtual) states close to the unitary limit. The energy of 19 B ground state is well reproduced and two low-lying resonances are predicted. Their eventual link with the Efimov physics is discussed. This model can be extended to describe the recently discovered resonant states in 20,21 B.

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“…The single n-4 He scattering amplitude b 4 from the I = 0 4 He nucleus is of particular interest for the interpretation of many slow neutron measurements which search for other types of neutron interactions. The first numerical solution of the five-body Fadeev-Yakubovsky equations relevant for n-4 He scattering was published in 2018 by Lazauskas and Song [24], who also published a more recent calculation [25] of the parity-odd neutron spin rotation rotary power dφ dz in n- 4 He, which has been sought experimentally in an effort to parametrize the weak interaction in the low energy nonperturbative regime of QCD [27,28]. The result of this recent calculation gives a different result compared to past calculations for the P-odd asymmetry in this observable and also makes a prediction for the n- 4 He scattering length which can be compared to measurement.…”

Section: Introductionmentioning

confidence: 99%

Measurement of the total neutron-scattering cross-section ratios of noble gases of natural isotopic composition using a pulsed neutron beam

et al. 2019

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Precision measurements of slow neutron cross sections with atoms have several scientific applications. In particular the n-4 He s-wave scattering length is important to know both for helping to constrain the nuclear three-body interaction and for the proper interpretation of several ongoing slow neutron experiments searching for other types of neutron-atom interactions. We present new measurements of the ratios of the neutron differential scattering cross sections for natural isotopicabundance mixtures of the noble gases He, Ar, Kr, and Xe to natural isotopic abundance Ne.These measurements were performed using a recently developed neutron scattering apparatus for gas samples located on a pulsed slow neutron beamline which was designed to search for possible exotic neutron-atom interactions and employs both neutron time of flight information and a position -sensitive neutron detector for scattering event reconstruction. We found agreement with the literature values of scattering cross sections inferred from Ar/Ne, Kr/Ne and Xe/Ne differential cross section ratios over the q range of 1 − 7 nm −1 . However for the case of He/Ne we find that the cross section inferred differs by 11.3% (7.6 σ) from previously-reported values inferred from neutron phase shift measurements, but is in reasonable agreement with values from other measurements.The very large discrepancy in the He/Ne ratio calls for a new precision measurement of the n-4 He scattering length using neutron interferometry.

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Solution of the n−He4 elastic scattering problem using the Faddeev-Yakubovsky equations

Cited by 40 publications

References 29 publications

Ab initio calculations of 5H resonant states

Ab initio calculations of 5H resonant states

Low-energy neutron scattering on light nuclei and $^{19}$B as a $^{17}$B-$n$-$n$ three-body system in the unitary limit

Measurement of the total neutron-scattering cross-section ratios of noble gases of natural isotopic composition using a pulsed neutron beam

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