Lattice operators for scattering of particles with spin

Prelovšek, Saša; Skerbis, Ursa; Lang, C. B.

doi:10.1007/jhep01(2017)129

Cited by 20 publications

(20 citation statements)

References 43 publications

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“…(An alternative method to construct the interpolators is the subduction method [54][55][56], which gives the same types of interpolators as we find with the projection method.) In the following, we use the schematic notation O 1 for quark-antiquark interpolators with γ i , O 2 for quark-antiquark interpolators with γ 0 γ i , and O 3 , O 4 for two-pion interpolators with the smallest and second-smallest possible p in the given irrep.…”

Section: A Interpolating Fieldsmentioning

confidence: 92%

P -wave ππ scattering and the ρ resonance from lattice QCD

et al. 2017

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We calculate the parameters describing elastic I ¼ 1, P-wave ππ scattering using lattice QCD with 2 þ 1 flavors of clover fermions. Our calculation is performed with a pion mass of m π ≈ 320 MeV and a lattice size of L ≈ 3.6 fm. We construct the two-point correlation matrices with both quark-antiquark and twohadron interpolating fields using a combination of smeared forward, sequential and stochastic propagators. The spectra in all relevant irreducible representations for total momenta j ⃗ Pj ≤ ffiffi ffi 3 p 2π L are extracted with two alternative methods: a variational analysis as well as multiexponential matrix fits. We perform an analysis using Lüscher's formalism for the energies below the inelastic thresholds, and investigate several phase shift models, including possible nonresonant contributions. We find that our data are well described by the minimal Breit-Wigner form, with no statistically significant nonresonant component. In determining the ρ resonance mass and coupling we compare two different approaches: fitting the individually extracted phase shifts versus fitting the t-matrix model directly to the energy spectrum. We find that both methods give consistent results, and at a pion mass of am π ¼ 0.18295ð36Þ stat obtain g ρππ ¼ 5.69ð13Þ stat ð16Þ sys , am ρ ¼ 0.4609ð16Þ stat ð14Þ sys , and am ρ =am N ¼ 0.7476ð38Þ stat ð23Þ sys , where the first uncertainty is statistical and the second is the systematic uncertainty due to the choice of fit ranges.

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Section: A Interpolating Fieldsmentioning

confidence: 92%

P -wave ππ scattering and the ρ resonance from lattice QCD

et al. 2017

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“…The operators which have good total angular momentum J, its third component m J , angular momentum l, and total spin of particles S in the continuum are referred as to partial-wave operators [42,43]…”

Section: A Operators In Partial-wave Methodsmentioning

confidence: 99%

“…All these operators for nucleonvector and nucleon-pseudoscalar systems with p 2 ¼ 0, 1 are explicitly written in Appendix C of Ref. [43].…”

Section: A Operators In Partial-wave Methodsmentioning

confidence: 99%

Nucleon- J/ψ and nucleon- ηc scattering in P
Skerbis
¹
,
Prelovšek
²

2019
Phys. Rev. D
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50
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29
0
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The lattice QCD simulation of NJ=ψ and Nη c scattering is performed at m π ≃ 266 MeV in channels with all possible J P. This includes J P ¼ 3=2 AE and 5=2 AE where LHCb discovered P c ð4380Þ and P c ð4450Þ pentaquark states in proton-J=ψ decay. This is the first lattice simulation that reaches the energies 4.3-4.5 GeV where pentaquarks reside. Several decay channels are open in this energy region, and we explore the fate of P c in the one-channel approximation in this work. Energies of eigenstates are extracted for the nucleon-charmonium system at zero total momentum for all quantum numbers, i.e., six lattice irreducible representations. No significant energy shifts are observed. The number of the observed lattice eigenstates agrees with the number expected for noninteracting charmonium and nucleon. Thus, we do not find any strong indication for a resonance or a bound state in these exotic channels within one-channel approximation. This possibly indicates that the coupling of the NJ=ψ channel with other two-hadron channels might be responsible for P c resonances in experiment. One of the challenges of this study is that up to six degenerate J=ψðpÞNð−pÞ eigenstates are expected in the noninteracting limit due nonzero spins of J=ψ and N, and we establish all of them in the spectra.

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“…The operators for scattering of particles with spin were already employed within our previous work [10], where all explicit expressions for operators of form O ≈ N(p)V (−p) for p 2 ≤ 1 are given. We employ operators in Partial wave method [11,10]…”

Section: Two-hadron Operators Expected Degeneracy and Construction Omentioning

confidence: 99%

“…Energies are obtained from the eigenvalues using the correlated one-exponential fits, while their errors are calculated using jack-knife method. All fits were performed for t = [7,10].…”

Section: Nj/ψ Channelmentioning

confidence: 99%

$J/\psi$-nucleon scattering in $P_{c}^{+}$ pentaquark channels

Skerbis¹,

Prelovšek²

2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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Two pentaquarks P + c were discovered by LHCb collaboration as peaks in the proton-J/ψ invariant mass. We perform the lattice QCD study of the scattering between J/ψ meson and nucleon in the channels with J P = 3 2 + , 3 2 − , 5 2 + , 5 2 − , where P + c was discovered. This is the first lattice simulation that reaches the energies 4.3 − 4.5 GeV where pentaquarks reside. The higher parital waves L > 0 are also explored for the first time. In this study we consider the single-channel approximation for scattering of NJ/ψ. Energies and eigenstates are extracted for the NJ/ψ system at the zero total momentum for all six irreducible representations of the lattice irreducible representation. No significant energy shifts are observed. The number of eigenstates agrees with the number expected from non-interacting limit for scattering. This could possibly indicate that the P c resonances seen in experiment are a consequence of a coupling of the NJ/ψ channel with other two-hadron channels.

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Lattice operators for scattering of particles with spin

Cited by 20 publications

References 43 publications

P -wave ππ scattering and the ρ resonance from lattice QCD

P -wave ππ scattering and the ρ resonance from lattice QCD

Nucleon- J/ψ and nucleon- ηc scattering in P
Skerbis
¹
,
Prelovšek
²

2019
Phys. Rev. D
Self Cite
50
0
29
0
View full text Add to dashboard Cite

$J/\psi$-nucleon scattering in $P_{c}^{+}$ pentaquark channels

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Lattice operators for scattering of particles with spin

Cited by 20 publications

References 43 publications

P -wave ππ scattering and the ρ resonance from lattice QCD

P -wave ππ scattering and the ρ resonance from lattice QCD

Nucleon- J/ψ and nucleon- ηc scattering in PSkerbis1, Prelovšek2 2019Phys. Rev. DSelf Cite500290View full textAdd to dashboardCite

$J/\psi$-nucleon scattering in $P_{c}^{+}$ pentaquark channels

Contact Info

Product

Resources

About

Nucleon- J/ψ and nucleon- ηc scattering in P
Skerbis
¹
,
Prelovšek
²

2019
Phys. Rev. D
Self Cite
50
0
29
0
View full text Add to dashboard Cite