S-wave baryons in an equally mixed scalar-vector square root potential model of independent quarks

Pramana ◽  
1995 ◽  
Vol 44 (4) ◽  
pp. 357-374 ◽  
Author(s):  
S N Jena ◽  
M R Behera
Keyword(s):  
Potential Model ◽  
Square Root ◽  
S Wave ◽  
Root Potential

scholarly journals Determination of Parameters of a Potential Model for Tetraquark Study by Studying All S-Wave Mesons

2021 ◽  
Vol 62 (4) ◽  
Author(s):  
Zheng Zhao ◽  
Kai Xu ◽  
Attaphon Kaewsnod ◽  
Xuyang Liu ◽  
Ayut Limphirat ◽  
...  
Keyword(s):  
Potential Model ◽  
S Wave ◽  
Determination Of Parameters

The «square-root» potential and the charmonium

1978 ◽  
Vol 22 (17) ◽  
pp. 679-684 ◽  
Author(s):  
H. Freitas de Carvalho ◽  
R. Chanda ◽  
A. Brandão D'Oliveira
Keyword(s):  
Square Root ◽  
Root Potential

scholarly journals Exact solution of inverse-square-root potential V(r)=−αr

2016 ◽  
Vol 373 ◽  
pp. 207-215 ◽  
Author(s):  
Wen-Du Li ◽  
Wu-Sheng Dai
Keyword(s):  
Exact Solution ◽  
Square Root ◽  
Root Potential

scholarly journals The First Excited State of 9B

1987 ◽  
Vol 40 (3) ◽  
pp. 307 ◽  
Author(s):  
FC Barker
Keyword(s):  
Excited State ◽  
Single Particle ◽  
Potential Model ◽  
Orbit Interaction ◽  
Spin Orbit ◽  
S Wave ◽  
Analogue State ◽  
First Excited State ◽  
Particle Potential ◽  
Single Particle Potential

The energy of the ! + first excited state of 9B is derived from the measured energy of the analogue state in 9Be together with calculated values of the Coulomb displacement energy. The latter include contributions from the internal Coulomb interaction, the electromagnetic spin-orbit interaction and the different external wavefunctions in 9Be and 9B. The ! + excitation energy is predicted to be greater in 9B than in 9Be,arising from an inverted Thomas-Ehrman shift, due to the 9Be state being above the 8 Be(g.s.) + s-wave neutron threshold. This result is in conflict with a recently published calculation (Sherr and Bertsch 1985), which was based on a single-particle potential model.

scholarly journals Exact solution of the 1D Dirac equation for the inverse-square-root potential 1/x$1/\sqrt{x}$

2020 ◽  
Vol 75 (8) ◽  
pp. 771-779 ◽  
Author(s):  
Artur M. Ishkhanyan
Keyword(s):  
Exact Solution ◽  
Dirac Equation ◽  
State Energy ◽  
Scalar Fields ◽  
Bound State ◽  
Hermite Functions ◽  
Square Root ◽  
Energy Eigenvalues ◽  
Root Potential ◽  
Pseudo Scalar

AbstractWe present the exact solution of the 1D Dirac equation for the inverse-square-root potential $1/\sqrt{x}$ for several configurations of vector, pseudo-scalar, and scalar fields. Each fundamental solution of the problem can be written as an irreducible linear combination of two Hermite functions of a scaled and shifted argument. We derive the exact equations for bound-state energy eigenvalues and construct accurate approximations for the energy spectrum.

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