Five-body calculation of s-wave n-4He scattering at next-to-leading order pionless effective field theory

Mirko Bagnarol; Martin Schäfer; Betzalel Bazak; Nir Barnea

doi:10.1016/j.physletb.2023.138078

Five-body calculation of s-wave n-⁴He scattering at next-to-leading order pionless effective field theory

Mirko Bagnarol, Martin Schäfer^*, Betzalel Bazak, Nir Barnea

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We present the first five-body calculations of s-wave n-⁴He scattering within leading order and next-to-leading order (NLO) pionless effective field theory (π̸EFT). Using an harmonic oscillator trap technique and π̸EFT fitted to just six well-established experimental parameters, we predict the s-wave n-⁴He phase shifts, scattering length a_n⁴He ^1/2(NLO)=2.47(4num.)(17theor.)fm, and effective range r_n⁴He ^1/2(NLO)=1.384(3num.)(211theor.)fm in agreement with experiment. The apparent cutoff independence of our results is used to estimate the theoretical errors coming as an integral part of our final results.

Original language	American English
Article number	138078
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	844
DOIs	https://doi.org/10.1016/j.physletb.2023.138078
State	Published - 10 Sep 2023

Bibliographical note

Funding Information:
The work of M. Bagnarol, N. Barnea, and M. Schäfer was supported by the Israel Science Foundation grant 1086/21 and by the European Union's Horizon 2020 research and innovation program under grant agreement No 824093 . The work of M.S. was also supported by the Czech Science Foundation GAČR grant 22-14497S . This research was supported in part by the Pazy foundation Grant No. 5067333 .

Publisher Copyright:
© 2023 The Author(s)

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10.1016/j.physletb.2023.138078

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title = "Five-body calculation of s-wave n-4He scattering at next-to-leading order pionless effective field theory",

abstract = "We present the first five-body calculations of s-wave n-4He scattering within leading order and next-to-leading order (NLO) pionless effective field theory (π̸EFT). Using an harmonic oscillator trap technique and π̸EFT fitted to just six well-established experimental parameters, we predict the s-wave n-4He phase shifts, scattering length an4He 1/2(NLO)=2.47(4num.)(17theor.)fm, and effective range rn4He 1/2(NLO)=1.384(3num.)(211theor.)fm in agreement with experiment. The apparent cutoff independence of our results is used to estimate the theoretical errors coming as an integral part of our final results.",

author = "Mirko Bagnarol and Martin Sch{\"a}fer and Betzalel Bazak and Nir Barnea",

note = "Funding Information: The work of M. Bagnarol, N. Barnea, and M. Sch{\"a}fer was supported by the Israel Science Foundation grant 1086/21 and by the European Union's Horizon 2020 research and innovation program under grant agreement No 824093 . The work of M.S. was also supported by the Czech Science Foundation GA{\v C}R grant 22-14497S . This research was supported in part by the Pazy foundation Grant No. 5067333 . Publisher Copyright: {\textcopyright} 2023 The Author(s)",

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AU - Bagnarol, Mirko

AU - Schäfer, Martin

AU - Bazak, Betzalel

AU - Barnea, Nir

N1 - Funding Information: The work of M. Bagnarol, N. Barnea, and M. Schäfer was supported by the Israel Science Foundation grant 1086/21 and by the European Union's Horizon 2020 research and innovation program under grant agreement No 824093 . The work of M.S. was also supported by the Czech Science Foundation GAČR grant 22-14497S . This research was supported in part by the Pazy foundation Grant No. 5067333 . Publisher Copyright: © 2023 The Author(s)

PY - 2023/9/10

Y1 - 2023/9/10

N2 - We present the first five-body calculations of s-wave n-4He scattering within leading order and next-to-leading order (NLO) pionless effective field theory (π̸EFT). Using an harmonic oscillator trap technique and π̸EFT fitted to just six well-established experimental parameters, we predict the s-wave n-4He phase shifts, scattering length an4He 1/2(NLO)=2.47(4num.)(17theor.)fm, and effective range rn4He 1/2(NLO)=1.384(3num.)(211theor.)fm in agreement with experiment. The apparent cutoff independence of our results is used to estimate the theoretical errors coming as an integral part of our final results.

AB - We present the first five-body calculations of s-wave n-4He scattering within leading order and next-to-leading order (NLO) pionless effective field theory (π̸EFT). Using an harmonic oscillator trap technique and π̸EFT fitted to just six well-established experimental parameters, we predict the s-wave n-4He phase shifts, scattering length an4He 1/2(NLO)=2.47(4num.)(17theor.)fm, and effective range rn4He 1/2(NLO)=1.384(3num.)(211theor.)fm in agreement with experiment. The apparent cutoff independence of our results is used to estimate the theoretical errors coming as an integral part of our final results.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

M1 - 138078

ER -

Five-body calculation of s-wave n-⁴He scattering at next-to-leading order pionless effective field theory

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