Erratum: Threshold expansion of the three-particle quantization condition [Phys. Rev. D 93, 096006 (2016)]

Erratum: Threshold expansion of the three-particle quantization condition [Phys. Rev. D 93,... PHYSICAL REVIEW D 96, 039901(E) (2017) Erratum: Threshold expansion of the three-particle quantization condition [Phys. Rev. D 93, 096006 (2016)] Maxwell T. Hansen and Stephen R. Sharpe (Received 5 July 2017; published 3 August 2017) DOI: 10.1103/PhysRevD.96.039901 We have found an error in Eq. (126) of our paper, which leads to a change in the coefficient of the geometrical constant K in the final result for the threshold energy shift. The left-hand side of Eq. (126) involves factors of 1 1 ~ ~ G ¼ G ¼ ; ð1Þ 0p p0 3 2 8L mω E − m − 2ω p p evaluated at E ¼ 3m þ ΔE . The missed term occurs in the region where pL ∼ L , for which we have th 1 1 x 1 −2 G ¼ − þ þ OðL Þ ; ð2Þ 0p 2 2 2 4 4 8m L p L L p L 3 2 0 where x ¼ ΔE L m ∼ L . The term proportional to x in this equation was erroneously dropped in our paper. Including th this term, the left-hand side (lhs) of Eq. (126) is augmented by the following term, 2πa Kx http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Erratum: Threshold expansion of the three-particle quantization condition [Phys. Rev. D 93, 096006 (2016)]

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Erratum: Threshold expansion of the three-particle quantization condition [Phys. Rev. D 93, 096006 (2016)]

Abstract

PHYSICAL REVIEW D 96, 039901(E) (2017) Erratum: Threshold expansion of the three-particle quantization condition [Phys. Rev. D 93, 096006 (2016)] Maxwell T. Hansen and Stephen R. Sharpe (Received 5 July 2017; published 3 August 2017) DOI: 10.1103/PhysRevD.96.039901 We have found an error in Eq. (126) of our paper, which leads to a change in the coefficient of the geometrical constant K in the final result for the threshold energy shift. The left-hand side of Eq. (126) involves factors of 1 1 ~ ~ G ¼ G ¼ ; ð1Þ 0p p0 3 2 8L mω E − m − 2ω p p evaluated at E ¼ 3m þ ΔE . The missed term occurs in the region where pL ∼ L , for which we have th 1 1 x 1 −2 G ¼ − þ þ OðL Þ ; ð2Þ 0p 2 2 2 4 4 8m L p L L p L 3 2 0 where x ¼ ΔE L m ∼ L . The term proportional to x in this equation was erroneously dropped in our paper. Including th this term, the left-hand side (lhs) of Eq. (126) is augmented by the following term, 2πa Kx
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.039901
Publisher site
See Article on Publisher Site

Abstract

PHYSICAL REVIEW D 96, 039901(E) (2017) Erratum: Threshold expansion of the three-particle quantization condition [Phys. Rev. D 93, 096006 (2016)] Maxwell T. Hansen and Stephen R. Sharpe (Received 5 July 2017; published 3 August 2017) DOI: 10.1103/PhysRevD.96.039901 We have found an error in Eq. (126) of our paper, which leads to a change in the coefficient of the geometrical constant K in the final result for the threshold energy shift. The left-hand side of Eq. (126) involves factors of 1 1 ~ ~ G ¼ G ¼ ; ð1Þ 0p p0 3 2 8L mω E − m − 2ω p p evaluated at E ¼ 3m þ ΔE . The missed term occurs in the region where pL ∼ L , for which we have th 1 1 x 1 −2 G ¼ − þ þ OðL Þ ; ð2Þ 0p 2 2 2 4 4 8m L p L L p L 3 2 0 where x ¼ ΔE L m ∼ L . The term proportional to x in this equation was erroneously dropped in our paper. Including th this term, the left-hand side (lhs) of Eq. (126) is augmented by the following term, 2πa Kx

Journal

Physical Review DAmerican Physical Society (APS)

Published: Aug 1, 2017

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