dorsal/arxiv
View SchemaHadronic parity violation in $\vec{n} p \to d \gamma$ with effective field theory
| Authors | C. H. Hyun, S. Ando, B. Desplanques |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0611018 |
| URL | https://arxiv.org/abs/nucl-th/0611018 |
| DOI | 10.1016/j.physletb.2007.06.011 |
| Journal | Phys.Lett.B651:257-262,2007 |
Abstract
The parity-violating nucleon-nucleon (NN) potential is considered up to next-to-next-to leading order in heavy-baryon chiral perturbation theory. We include one-pion exchange at leading order and the two-pion exchange and two-nucleon contact terms at next-to-next-to-leading order. The effects of intermediate (two-pion exchange) and short-range (two-nucleon contact) terms are probed by calculating the photon asymmetry $A_\gamma$ in $\vec{n} p \to d \gamma$ employing Siegert's theorem and an accurate phenomenological potential for the parity-conserving NN interaction. We explore in detail the uncertainties due to the parameters that control the contribution of the short-range interaction. We obtain about 20% uncertainty in the value of $A_\gamma$ up to the next-to-next-to leading order. We discuss the implication of this uncertainty for the determination of the weak pion-nucleon coupling constant and how the uncertainty can be reduced.
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"abstract": "The parity-violating nucleon-nucleon (NN) potential is considered up to\nnext-to-next-to leading order in heavy-baryon chiral perturbation theory. We\ninclude one-pion exchange at leading order and the two-pion exchange and\ntwo-nucleon contact terms at next-to-next-to-leading order. The effects of\nintermediate (two-pion exchange) and short-range (two-nucleon contact) terms\nare probed by calculating the photon asymmetry $A_\\gamma$ in $\\vec{n} p \\to d\n\\gamma$ employing Siegert\u0027s theorem and an accurate phenomenological potential\nfor the parity-conserving NN interaction. We explore in detail the\nuncertainties due to the parameters that control the contribution of the\nshort-range interaction. We obtain about 20% uncertainty in the value of\n$A_\\gamma$ up to the next-to-next-to leading order. We discuss the implication\nof this uncertainty for the determination of the weak pion-nucleon coupling\nconstant and how the uncertainty can be reduced.",
"arxiv_id": "nucl-th/0611018",
"authors": [
"C. H. Hyun",
"S. Ando",
"B. Desplanques"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/j.physletb.2007.06.011",
"journal_ref": "Phys.Lett.B651:257-262,2007",
"title": "Hadronic parity violation in $\\vec{n} p \\to d \\gamma$ with effective field theory",
"url": "https://arxiv.org/abs/nucl-th/0611018"
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