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| Hauptseite > Publikationsdatenbank > $P$-wave nucleon-pion scattering amplitude in the $\Delta(1232)$ channel from lattice QCD > print |
| Hauptseite > Publikationsdatenbank > $P$-wave nucleon-pion scattering amplitude in the $\Delta(1232)$ channel from lattice QCD > print |
| 001 | 893066 | ||
| 005 | 20230217124239.0 | ||
| 024 | 7 | _ | |a 10.1103/PhysRevD.103.094508 |2 doi |
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| 037 | _ | _ | |a FZJ-2021-02538 |
| 082 | _ | _ | |a 530 |
| 100 | 1 | _ | |a Silvi, Giorgio |0 P:(DE-Juel1)171116 |b 0 |e Corresponding author |u fzj |
| 245 | _ | _ | |a $P$-wave nucleon-pion scattering amplitude in the $\Delta(1232)$ channel from lattice QCD |
| 260 | _ | _ | |a Melville, NY |c 2021 |b Inst. |
| 264 | _ | 1 | |3 online |2 Crossref |b American Physical Society (APS) |c 2021-05-14 |
| 264 | _ | 1 | |3 print |2 Crossref |b American Physical Society (APS) |c 2021-05-01 |
| 336 | 7 | _ | |a article |2 DRIVER |
| 336 | 7 | _ | |a Output Types/Journal article |2 DataCite |
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| 336 | 7 | _ | |a Journal Article |0 0 |2 EndNote |
| 520 | _ | _ | |a We determine the $\Delta(1232)$ resonance parameters using lattice QCD and the L{\"u}scher 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, respectively, 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 pole in the $P$-wave scattering amplitude, we obtain the resonance mass $m_\Delta=1378(7)(9)$ MeV and the coupling $g_{\Delta\text{-}\pi N}=23.8(2.7)(0.9)$. |
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| 542 | _ | _ | |i 2021-05-14 |2 Crossref |u https://creativecommons.org/licenses/by/4.0/ |
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| 700 | 1 | _ | |a Paul, Srijit |0 P:(DE-HGF)0 |b 1 |
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| 700 | 1 | _ | |a Krieg, Stefan |0 P:(DE-Juel1)132171 |b 3 |
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| 700 | 1 | _ | |a Syritsyn, Sergey |0 0000-0003-1189-2940 |b 10 |
| 700 | 1 | _ | |a Todaro, Antonino |0 0000-0003-3736-9410 |b 11 |
| 773 | 1 | 8 | |a 10.1103/physrevd.103.094508 |b American Physical Society (APS) |d 2021-05-14 |n 9 |p 094508 |3 journal-article |2 Crossref |t Physical Review D |v 103 |y 2021 |x 2470-0010 |
| 773 | _ | _ | |a 10.1103/PhysRevD.103.094508 |g Vol. 103, no. 9, p. 094508 |0 PERI:(DE-600)2844732-3 |n 9 |p 094508 |t Physical review / D |v 103 |y 2021 |x 2470-0010 |
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