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:https://doi.org/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

Racah Institute of Physics

The Hebrew University of Jerusalem

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	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

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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https://doi.org/10.1016/j.physletb.2023.138078

Cite this

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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",

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T1 - Five-body calculation of s-wave n-4He scattering at next-to-leading order pionless effective field theory

AU - Bagnarol, Mirko

AU - Schäfer, Martin

AU - Bazak, Betzalel

AU - Barnea, Nir

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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U2 - https://doi.org/10.1016/j.physletb.2023.138078

DO - https://doi.org/10.1016/j.physletb.2023.138078

M3 - مقالة

SN - 0370-2693

VL - 844

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

Abstract

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