GAUSSIAN NONLOCAL POTENTIALS FOR THE QUARK-MODEL BARYON–BARYON INTERACTIONS

2009 ◽  
Vol 24 (11n13) ◽  
pp. 1035-1038 ◽  
Author(s):  
K. FUKUKAWA ◽  
Y. FUJIWARA ◽  
Y. SUZUKI
Keyword(s):  
Binding Energy ◽  
Quark Model ◽  
Special Functions ◽  
Phase Shifts ◽  
Deuteron Binding Energy ◽  
Legendre Quadrature ◽  
Nonlocal Potentials

Gaussian nonlocal potentials for the quark-model baryon–baryon interactions are derived by using the Gauss-Legendre quadrature for the special functions. The reliability of the approximation is examined with respect to the phase shifts and the deuteron binding energy. The potential is accurate enough if one uses seven-point Gauss-Legendre quadrature.

scholarly journals Hyperon-hyperon interaction based on quark-model baryon-baryon interactions

2014 ◽  
Vol 29 ◽  
pp. 1460216
Author(s):  
Kenji Fukukawa
Keyword(s):  
Quark Model ◽  
Phase Shifts ◽  
Gaussian Potential ◽  
Baryon Interaction ◽  
Legendre Quadrature

Energy-independent nonlocal Gaussian potential based on the quark-model baryon-baryon interaction is derived by using the Gauss-Legendre quadrature and the Bargmann algebra. The reliability of this potential is examined with respect to the NN, YN and YY phase shifts. This potential reproduces the phase shifts predicted by quark-model baryon-baryon interaction fss2.

scholarly journals Quark-model based study of the triton binding energy

2002 ◽  
Vol 65 (3) ◽  
Author(s):  
B. Juliá-Díaz ◽  
J. Haidenbauer ◽  
A. Valcarce ◽  
F. Fernández
Keyword(s):  
Binding Energy ◽  
Quark Model ◽  
Triton Binding Energy ◽  
Model Based

KN s-wave phase shifts in the non-relativistic quark model

1995 ◽  
Vol 589 (4) ◽  
pp. 585-600 ◽  
Author(s):  
B. Silvestre-Brac ◽  
J. Leandri ◽  
J. Labarsouque
Keyword(s):  
Quark Model ◽  
Phase Shifts ◽  
Relativistic Quark Model ◽  
S Wave ◽  
Wave Phase

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

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.

A new determination of the deuteron binding energy

1967 ◽  
Vol 24 (13-14) ◽  
pp. 659-660 ◽  
Author(s):  
H.W. Taylor ◽  
N. Neff ◽  
J.D. King
Keyword(s):  
Binding Energy ◽  
Deuteron Binding Energy

scholarly journals THE POSSIBLE DI-OMEGA DIBARYON IN QUARK CLUSTER MODEL

2014 ◽  
Vol 26 ◽  
pp. 1460120 ◽  
Author(s):  
L. R. DAI ◽  
J. LIU ◽  
L. YUAN
Keyword(s):  
Binding Energy ◽  
Quark Model ◽  
Cluster Model ◽  
Bound State ◽  
Nucleon Nucleon ◽  
Scattering Data ◽  
Nucleon Scattering ◽  
Scalar Mesons ◽  
Ideal Mixing ◽  
The Ideal

The mixing of scalar mesons is introduced into the baryon-baryon system in the chiral SU(3) quark model to further dynamically investigate the Di-omega state by using the same parameters as those in reasonably describing the experimental hyperon-nucleon and nucleon-nucleon scattering data. Two different mixings of scalar mesons, the ideal mixing and 19° mixing, are discussed, and compared with no mixing. The results show that it is still deeply bound state if 19° mixing is adopted, the same as those of no mixing. However, for ideal mixing, the binding energy is reduced quite a lot, yet it is still a bound state.

scholarly journals Relativistic Quark Model Based Description of Low Energy NN Scattering

1997 ◽  
Vol 12 (07) ◽  
pp. 1385-1404
Author(s):  
R. Antalik ◽  
V. E. Lyubovitskij
Keyword(s):  
Quark Model ◽  
Scalar Meson ◽  
Relativistic Quantum ◽  
Phase Shifts ◽  
Coupling Constants ◽  
Model Fit ◽  
Meson Exchange ◽  
Scattering Phase ◽  
Good Agreement

A model describing the NN scattering phase shifts is developed. Two nucleon interactions induced by meson exchange forces are constructed starting from π, η, η′ pseudoscalar-, the ρ, ϕ, ω vector-, and the ε(600), a0, f0(1400) scalar — meson–nucleon coupling constants, which we obtained within a relativistic quantum field theory based quark model. Working within the Blankenbecler–Sugar–Logunov–Tavkhelidze quasipotential dynamics, we describe the NN phase shifts in a relativistically invariant way. In this procedure we use phenomenological form factor cutoff masses and effective ε and ω meson–nucleon coupling constants, only. Resulting NN phase shifts are in a good agreement with both, the empirical data, and the entirely phenomenological Bonn OBEP model fit. While the quality of our description, evaluated as a ratio of our results to the Bonn OBEP model χ2 ones is about 1.2, other existing (semi)microscopic results gave qualitative results only.

A STUDY OF NUCLEON FORCES WITH REPULSIVE CORES: III. LOW ENERGY PROPERTIES OF THE LÉVY POTENTIAL

1957 ◽  
Vol 35 (4) ◽  
pp. 451-454 ◽  
Author(s):  
M. A. Preston ◽  
J. Shapiro
Keyword(s):  
Binding Energy ◽  
Singlet State ◽  
Scattering Length ◽  
Low Energy ◽  
Proton Scattering ◽  
Core Radius ◽  
Deuteron Binding Energy ◽  
Coupling Constant ◽  
Spin Dependence ◽  
The Core

An attempt has been made to select the core radius and coupling constant of the Lévy potential for the interaction of two nucleons in order to fit the binding energy of the deuteron and the singlet state neutron–proton scattering length. It was found that these two quantities cannot be fitted simultaneously. For any given choice of coupling constant, a somewhat larger core radius is required to fit the deuteron binding energy than is required for the scattering length. This spin dependence of the core radius does not preclude the possibility of a fit to the low energy data with the Lévy potential.

The deuteron binding energy

1982 ◽  
Vol 380 (2) ◽  
pp. 261-269 ◽  
Author(s):  
C. Van Der Leun ◽  
C. Alderliesten
Keyword(s):  
Binding Energy ◽  
Deuteron Binding Energy
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