scholarly journals On SU(3)F positive-parity octet and decuplet baryons

2020 ◽  
Vol 241 ◽  
pp. 02002
Author(s):  
Chen Chen
Keyword(s):  
Valence Quark ◽  
Bound State ◽  
Wave Functions ◽  
Positive Parity ◽  
Continuum Approach ◽  
State Problem ◽  
Mass Generation ◽  
Bound State Problem ◽  
New Generation ◽  
Dynamical Quark

A continuum approach to the three valence-quark bound-state problem in quantum field theory, employing parametrisations of the necessary kernel elements, is used to compute the spectrum and Poincarö- covariant wave functions for all flavour-SU(3) octet and decuplet baryons and their first positive-parity ex citations. Such analyses predict the existence of nonpointlike, dynamical quark-quark (diquark) correlations within all baryons; and a uniformly sound description of the systems studied is obtained by retaining flavour- antitriplet-scalar and flavour-sextet-pseudovector diquarks. The analysis predicts the existence of positive- parity excitations of the 𝚵, 𝚵*, Ω baryons, with masses, respectively (in GeV): 1.84(08), 1.89(04), 2.05(02). These states have not yet been empirically identified. This body of analysis suggests that the expression of emergent mass generation is the same in all u, d, s baryons and, notably, that dynamical quark-quark correla tions play an essential role in the structure of each one. It also provides the basis for developing an array of predictions that can be tested in new generation experiments.

scholarly journals Confining potential in momentum space

1992 ◽  
Vol 70 (1) ◽  
pp. 86-89 ◽  
Author(s):  
John W. Norbury ◽  
David E. Kahana ◽  
Khin Maung Maung
Keyword(s):  
Momentum Space ◽  
Bound State ◽  
Wave Functions ◽  
Linear Potential ◽  
Subtraction Technique ◽  
Position Space ◽  
State Problem ◽  
Space Potential ◽  
Bound State Problem ◽  
Good Agreement

A method is presented for the solution in momentum space of the bound-state problem with a linear potential in r space. The potential is unbounded at large r leading to a singularity at small q. The singularity is integrable, when regulated by exponentially screening the r-space potential, and is removed by a subtraction technique. The limit of zero screening is taken analytically, and the numerical solution of the subtracted integral equation gives eigenvalues and wave functions in good agreement with position space calculations.

Singular integral equations in the bound-state problem

1965 ◽  
Vol 35 (3) ◽  
pp. 913-932 ◽  
Author(s):  
G. Cosenza ◽  
L. Sertorio ◽  
M. Toller
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Bound State ◽  
State Problem ◽  
Bound State Problem

Bound-state problem of theNΔandNΔΔsystems

1999 ◽  
Vol 59 (1) ◽  
pp. 46-52 ◽  
Author(s):  
R. D. Mota ◽  
A. Valcarce ◽  
F. Fernández ◽  
H. Garcilazo
Keyword(s):  
Bound State ◽  
State Problem ◽  
Bound State Problem

scholarly journals Note on the Bound State Problem

1955 ◽  
Vol 13 (3) ◽  
pp. 338-340
Author(s):  
Takao Okabayashi
Keyword(s):  
Bound State ◽  
State Problem ◽  
Bound State Problem

scholarly journals Inverse Methods and Relative Nuclear Radii

1984 ◽  
Vol 39 (6) ◽  
pp. 603-604 ◽  
Author(s):  
E. F. Hefter ◽  
I. A. Mitropolsky
Keyword(s):  
Analytical Solutions ◽  
Bound State ◽  
Inverse Methods ◽  
Binding Energies ◽  
The Self ◽  
State Problem ◽  
Full Expression ◽  
Bound State Problem

Inverse methods are applied to the nuclear bound-state problem. Considering only the self-interactions of these states analytical solutions results for potentials and densities. The simplest possible approximation to the full expression yields immediately ⊿R0i2 ≡ 〈r2 (Ai)〉 - 〈r2 (A0)〉 ~ - [B (Ai) - B (A0)] for the differences in the squared nuclear radii as functions of the respective binding energies per nucleon, B (Ai).

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