Determination of baryon-baryon elastic scattering phase shift from finite volume spectra in elongated boxes

2018 ◽  
Vol 97 (1) ◽  
Author(s):  
Ning Li ◽  
Ya-Jie Wu ◽  
Zhan-Wei Liu
Keyword(s):  
Elastic Scattering ◽  
Phase Shift ◽  
Finite Volume ◽  
Scattering Phase

K+p interactions in the range 0.9–1.5 GeV/c and elastic scattering phase shift analysis

1970 ◽  
Vol 20 (2) ◽  
pp. 301-319 ◽  
Author(s):  
G. Giacomelli ◽  
P. Lugaresi-Serra ◽  
G. Mandrioli ◽  
A.M. Rossi ◽  
F. Griffiths ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Phase Shift ◽  
Phase Shift Analysis ◽  
Shift Analysis ◽  
Scattering Phase

High-algebraic, high-phase lag methods for accurate computations for the elastic- scattering phase shift problem

1998 ◽  
Vol 76 (6) ◽  
pp. 473-493 ◽  
Author(s):  
T E Simos
Keyword(s):  
Elastic Scattering ◽  
Phase Shift ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Finite Difference Methods ◽  
Phase Lag ◽  
New Methods ◽  
Shift Problem ◽  
Algebraic Order ◽  
Scattering Phase

A family of three new hybrid eighth-algebraic-order two-step methods with phase lag of order 16, 18, and 20 are developed for computing elastic-scattering phase shifts of the one-dimensional Schrödinger equation. Based on these new methods, we obtain some new embedded variable-step procedures for the numerical integration of the Schrödinger equation. Numerical results obtained for both the integration of the phase-shift problem for the well known case of the Lennard–Jones potential and the integration of coupled differential equation arising from the Schrödinger equation show that these new methods are better than other finite-difference methods. PACS Nos.: 02.00, 02.70, 03.00, 03.65

On a canonical functions approach to the elastic scattering phase-shift problem

1991 ◽  
Vol 40 (1) ◽  
pp. 11-21 ◽  
Author(s):  
Hafez Kobeissi ◽  
Khaled Fakhreddine ◽  
Majida Kobeissi
Keyword(s):  
Elastic Scattering ◽  
Phase Shift ◽  
Shift Problem ◽  
Scattering Phase

AN EIGHTH-ORDER METHOD WITH MINIMAL PHASE-LAG FOR ACCURATE COMPUTATIONS FOR THE ELASTIC SCATTERING PHASE-SHIFT PROBLEM

1996 ◽  
Vol 07 (06) ◽  
pp. 825-835 ◽  
Author(s):  
T. E. SIMOS
Keyword(s):  
Elastic Scattering ◽  
Phase Shift ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Finite Difference Methods ◽  
New Method ◽  
Phase Lag ◽  
Step Method ◽  
Shift Problem ◽  
Scattering Phase

A new hybrid eighth-algebraic-order two-step method with phase-lag of order ten is developed for computing elastic scattering phase shifts of the one-dimensional Schrödinger equation. Based on this new method and on the method developed recently by Simos we obtain a new variable-step procedure for the numerical integration of the Schrödinger equation. Numerical results obtained for the integration of the phase shift problem for the well known case of the Lenard–Jones potential show that this new method is better than other finite difference methods.

Determination of the Nucleon-Nucleon Elastic Scattering Matrix. III. Phase-Shift Analyses of Experiments Near 25 and 50 MeV

1965 ◽  
Vol 139 (2B) ◽  
pp. B380-B386 ◽  
Author(s):  
H. Pierre Noyes ◽  
David S. Bailey ◽  
Richard A. Arndt ◽  
Malcolm H. MacGregor
Keyword(s):  
Elastic Scattering ◽  
Phase Shift ◽  
Scattering Matrix ◽  
Nucleon Nucleon

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

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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