STI Publications - View Publication Form #16622
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Publication Information
| Title | P-wave nucleon-pion scattering amplitude in the $¿(1232)$ channel from lattice QCD | ||||
| Abstract | We determine the $\Delta(1232)$ resonance parameters using lattice QCD and the Lüscher method. The resonance occurs in elastic pion-nucleon scattering with $J^P=3/2^+$ in the isospin $I = 3/2$, $P$-wave channel. Our calculation is performed with $N_f=2+1$ flavors of clover fermions on a lattice with $L\approx 2.8$ fm. The pion and nucleon masses are $m_\pi =255.4(1.6)$ MeV and $m_N=1073(5)$ MeV, and the strong decay channel $\Delta \rightarrow \pi N$ is found to be above the threshold. To thoroughly map out the energy-dependence of the nucleon-pion scattering amplitude, we compute the spectra in all relevant irreducible representations of the lattice symmetry groups for total momenta up to $\vec{P}=\frac{2\pi}{L}(1,1,1)$, including irreps that mix $S$ and $P$ waves. We perform global fits of the amplitude parameters to up to 21 energy levels, using a Breit-Wigner model for the $P$-wave phase shift and the effective-range expansion for the $S$-wave phase shift. From the location of the | ||||
| Author(s) | Giorgio Silvi, Srijit Paul, Constantia Alexandrou, Stefan Krieg, Luka Leskovec, Stefan Meinel, John Negele, Marcus Petschlies, Andrew Pochinsky, Gumaro Rendon, Sergey Syritsyn  , Antonino Todaro |
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| Publication Date | May 2021 | ||||
| Document Type | Journal Article | ||||
| Primary Institution | Thomas Jefferson National Accelerator Facility, Newport News | ||||
| Affiliation | Theory & Comp Physics / THEORY CENTER / THEORY CENTER | ||||
| Funding Source | Nuclear Physics (NP), AC02-05CH11231, DE-SC0019229, DE-SC0009913, DE-SC-0011090, DE-SC0018121, DE-SC0012704, | ||||
| Proprietary? | No | ||||
| This publication conveys | Technical Science Results | ||||
| Document Numbers |
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| Associated with an experiment | No | ||||
| Associated with EIC | No | ||||
| Supported by Jefferson Lab LDRD Funding | No |
Journal Article
| Journal Name | Physical Review D |
| Refereed | Yes |
| Volume | 103 |
| Issue | |
| Page(s) | 094508 |
Attachments/Datasets/DOI Link
| Document(s) |
PhysRevD.103.094508.pdf
(STI Document)
PhysRevD.103.094508.pdf
(Accepted Manuscript)
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| DOI Link | |
| Dataset(s) | (none) |
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