Abstract
We obtain relations between partial-wave amplitudes for [Formula Presented] and [Formula Presented] directly from large [Formula Presented] QCD. While linear relations among certain amplitudes holding at leading order (LO) in [Formula Presented] were derived in the context of chiral soliton models two decades ago, the present work employs a fully model-independent framework based on consistency with the large [Formula Presented] expansion. At LO in [Formula Presented] we reproduce the soliton model results; however, this method allows for systematic corrections. At next-to-leading order (NLO), most relations require additional unknown functions beyond those appearing at LO and thus have little additional predictive power. However, three NLO relations for the [Formula Presented] reaction are independent of unknown functions and make predictions accurate at this order. The amplitudes relevant to two of these relations were previously extracted from experiment. These relations describe experiment dramatically better than their LO counterparts.
| Original language | English (US) |
|---|---|
| Number of pages | 1 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 70 |
| Issue number | 5 |
| DOIs | |
| State | Published - Jan 1 2004 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
Cite this
Pion-nucleon scattering relations at next-to-leading order in [Formula Presented] . / Cohen, Thomas D.; Dakin, Daniel C.; Nellore, Abhinav; Lebed, Richard F.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 70, No. 5, 01.01.2004.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Pion-nucleon scattering relations at next-to-leading order in [Formula Presented]
AU - Cohen, Thomas D.
AU - Dakin, Daniel C.
AU - Nellore, Abhinav
AU - Lebed, Richard F.
PY - 2004/1/1
Y1 - 2004/1/1
N2 - We obtain relations between partial-wave amplitudes for [Formula Presented] and [Formula Presented] directly from large [Formula Presented] QCD. While linear relations among certain amplitudes holding at leading order (LO) in [Formula Presented] were derived in the context of chiral soliton models two decades ago, the present work employs a fully model-independent framework based on consistency with the large [Formula Presented] expansion. At LO in [Formula Presented] we reproduce the soliton model results; however, this method allows for systematic corrections. At next-to-leading order (NLO), most relations require additional unknown functions beyond those appearing at LO and thus have little additional predictive power. However, three NLO relations for the [Formula Presented] reaction are independent of unknown functions and make predictions accurate at this order. The amplitudes relevant to two of these relations were previously extracted from experiment. These relations describe experiment dramatically better than their LO counterparts.
AB - We obtain relations between partial-wave amplitudes for [Formula Presented] and [Formula Presented] directly from large [Formula Presented] QCD. While linear relations among certain amplitudes holding at leading order (LO) in [Formula Presented] were derived in the context of chiral soliton models two decades ago, the present work employs a fully model-independent framework based on consistency with the large [Formula Presented] expansion. At LO in [Formula Presented] we reproduce the soliton model results; however, this method allows for systematic corrections. At next-to-leading order (NLO), most relations require additional unknown functions beyond those appearing at LO and thus have little additional predictive power. However, three NLO relations for the [Formula Presented] reaction are independent of unknown functions and make predictions accurate at this order. The amplitudes relevant to two of these relations were previously extracted from experiment. These relations describe experiment dramatically better than their LO counterparts.
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U2 - 10.1103/PhysRevD.70.056004
DO - 10.1103/PhysRevD.70.056004
M3 - Article
AN - SCOPUS:85039017709
VL - 70
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 5
ER -