On the determination of Ω − Ω scattering amplitudes from finite volume spectra

The elastic scattering phase shifts to the two-particle energy levels in a finite cubic box is related by the Lüscher’s formula. In this paper, based on the nonrelativistic quantum mechanics model which is usually assumed to be the low energy scattering case in lattice simulations, we confirmed the generalized Lüscher’s formula for the case of two-particle scattering with arbitrary spin in Ref. 1. In particular, Lüscher’s formula is synthesized for two-spin-3/2-particle scattering, i.e. [Formula: see text] scattering on lattice that may help us study the promising dibaryon states.

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Elastic scattering phase shift generalizations to two spin-3 2 particles: On the determination of Ω–Ω scattering phase amplitudes in elongated boxes

Modern Physics Letters A ◽

10.1142/s0217732320501126 ◽

2020 ◽

Vol 35 (14) ◽

pp. 2050112

Author(s):

Ning Li ◽

Chao-Chen Liu ◽

Ya-Jie Wu

Keyword(s):

Elastic Scattering ◽

Center Of Mass ◽

Particle Energy ◽

Mass Frame ◽

Scattering Phase ◽

Scattering Phase Shifts ◽

Text Interaction ◽

Volume Method ◽

The Relationship

The relationship between the elastic scattering phase shifts of the [Formula: see text] system and the two-particle energy spectrum in elongated boxes is established in center-of-mass frame under periodic boundary conditions. The formulas are also extended to cubic boxes to confirm the results in elongated boxes. Our analytical results will be helpful to the study of [Formula: see text] interaction on lattice by using Lüscher’s finite volume method.

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Determination of the π π scattering phase shifts up to 1.3 GeV C.M. energy

Physics Letters ◽

10.1016/0031-9163(65)91008-5 ◽

1965 ◽

Vol 19 (4) ◽

pp. 326-327 ◽

Cited By ~ 44

Author(s):

G. Wolf

Keyword(s):

Phase Shifts ◽

Scattering Phase ◽

Scattering Phase Shifts

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NON-NUCLEAR MULTIQUARK STATES: DIBARYONS AND PENTAQUARKS FROM A SUCCESSFUL NUCLEAR QUARK MODEL

International Journal of Modern Physics A ◽

10.1142/s0217751x05023748 ◽

2005 ◽

Vol 20 (08n09) ◽

pp. 1963-1966

Author(s):

T. GOLDMAN

Keyword(s):

Binding Energy ◽

Quark Model ◽

Free Parameter ◽

New Physics ◽

Low Energy ◽

Nuclear Binding Energy ◽

Low Mass ◽

Scattering Phase ◽

Multiquark States ◽

Scattering Phase Shifts

A model for nuclei described directly in terms of quarks has been developed in both relativistic and non-relativistic forms. It describes nuclear binding energy and structure for small nuclei (A=3,4) systematically correctly, including the EMC effect. With one free parameter each for strange and for nonstrange states, it also well describes low energy baryon-nucleon scattering, phase shifts and potentials. It predicts low mass, narrow dibaryon and pentaquark states. To be consistent with reported states, new physics may be required that is not included in any quark model to date.

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