Three relativistic neutrons in a finite volume

Draper, Zachary T.; Hansen, Maxwell T.; Romero-López, Fernando; R., Sharpe, Stephen

doi:10.1007/jhep07(2023)226

Cited by 8 publications

(1 citation statement)

References 102 publications

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“…Since the introduction of the RFT formalism, first derived for a system of three scalar fields without transitions to two particles, there have been several extensions. These include allowing for 2 ↔ 3 interactions [65], allowing for two-particle subchannel resonances [66], non-maximal isospin [67], non-degenerate particles [68,69], non-zero spin [70], etc. Further, returning to the issue of left-hand cuts in the two-particle quantization condition, the formalism for circumventing this in studies of the 𝑇 + 𝑐𝑐 with the three-particle quantization condition have been worked out [71].…”

Section: Pos(lattice2023)106mentioning

confidence: 99%

Hadron spectroscopy and few-body dynamics from Lattice QCD

Hanlon

2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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Despite quantum chromodynamics (QCD) being established as the theory of the strong interaction and its many successes since then, significant challenges in our understanding of hadron physics remain. The lack of a full understanding for how the observed hadrons arise from the quark and gluon degrees of freedom which define QCD represents a real challenge in connecting the theory to experiment. In particular, the rich spectrum of hadrons marks a significant gap in our understanding, as no model can currently explain all observed hadrons and QCD itself has only been used to study a small subset of the full spectrum. The significant hurdle for using QCD directly is due to the non-perturbative nature of the theory at low energies, requiring methods like lattice QCD. Here, the spectrum of hadrons and how it relates to few-body dynamics is reviewed, with a focus on state-of-the-art methods for their study through lattice QCD.

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Section: Pos(lattice2023)106mentioning

confidence: 99%

Hadron spectroscopy and few-body dynamics from Lattice QCD

Hanlon

2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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The three-pion K-matrix at NLO in ChPT

Baeza-Ballesteros,

Bijnens,

Husek

et al. 2024

J. High Energ. Phys.

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The three-particle K-matrix, $$ \mathcal{K} $$ K df,3, is a scheme-dependent quantity that parametrizes short-range three-particle interactions in the relativistic-field-theory three-particle finite-volume formalism. In this work, we compute its value for systems of three pions in all isospin channels through next-to-leading order in Chiral Perturbation Theory, generalizing previous work done at maximum isospin. We obtain analytic expressions through quadratic order (or cubic order, in the case of zero isospin) in the expansion about the three-pion threshold.

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Lellouch-Lüscher factor for the K → 3π decays

Pang,

Bubna,

Müller

et al. 2024

J. High Energ. Phys.

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We derive an explicit expression for the Lellouch-Lüscher (LL) factor in the K → 3π decays at leading order (without derivative couplings). Several important technical details are addressed, like a proper decomposition into the isospin amplitudes, the choice of a minimal set of effective couplings and the renormalization, as well as the algorithm for the solution of the pertinent Faddeev equations in the infinite volume which is based on the contour deformation method. Most importantly, our numerical results demonstrate that the three-body force contributes very little to the LL factor. This result paves the way for the study of the K → 3π decays on the lattice.

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Three relativistic neutrons in a finite volume

Cited by 8 publications

References 102 publications

Hadron spectroscopy and few-body dynamics from Lattice QCD

Hadron spectroscopy and few-body dynamics from Lattice QCD

The three-pion K-matrix at NLO in ChPT

Lellouch-Lüscher factor for the K → 3π decays

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