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)]

Preview Only

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
Loading next page...
 
/lp/aps_physical/erratum-threshold-expansion-of-the-three-particle-quantization-UQ4knQEO3H
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

There are no references for this article.

Sorry, we don’t have permission to share this article on DeepDyve,
but here are related articles that you can start reading right now:

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

Monthly Plan

  • Read unlimited articles
  • Personalized recommendations
  • No expiration
  • Print 20 pages per month
  • 20% off on PDF purchases
  • Organize your research
  • Get updates on your journals and topic searches

$49/month

Start Free Trial

14-day Free Trial

Best Deal — 39% off

Annual Plan

  • All the features of the Professional Plan, but for 39% off!
  • Billed annually
  • No expiration
  • For the normal price of 10 articles elsewhere, you get one full year of unlimited access to articles.

$588

$360/year

billed annually
Start Free Trial

14-day Free Trial