Coupling Constant for Small Binding Energy in Dispersion Theory

1961 ◽  
Vol 124 (6) ◽  
pp. 2011-2013 ◽  
Author(s):  
Michael Nauenberg
1974 ◽  
Vol 29 (7) ◽  
pp. 991-1002
Author(s):  
K. Dammeier

The massless Green's function in a pole regularized nonlinear spinor theory is dressed and the resulting eigenvalue equations are discussed. The coupling constant is more than doubled by this dressing, and the boson solutions change drastically. The old solutions disappear, a singlett deuteron solution with small binding energy appears. The fermion propagator is determined from a selfconsistency requirement.


2001 ◽  
Vol 15 (28n30) ◽  
pp. 3789-3792
Author(s):  
T. HIRAI ◽  
K. EDAMATSU ◽  
T. ITOH ◽  
Y. HARADA ◽  
S. HASHIMOTO

We have investigated the luminescence spectra of colloidal CuI particles dispersed in a KI crystal under low- and high-density excitations of the CuI particles at low temperatures. Under the low-density excitation, we have observed the luminescence of both confined and bulk-like exciton transitions in the CuI particles with zincblende and two kinds of hexagonal structures. In the bulk-like particles with the zincblende structure, the emission line of bound excitons with small binding energy of ~5 meV has been recognized. The biexciton luminescence has been observed under the high-density excitation. We discuss the origins of the various excitonic states observed in the CuI particles dispersed in the KI crystal.


1957 ◽  
Vol 35 (4) ◽  
pp. 451-454 ◽  
Author(s):  
M. A. Preston ◽  
J. Shapiro

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.


Author(s):  
U.V.S Seshavatharam ◽  
S. Lakshminarayana

As there exist no repulsive forces in strong interaction, in a hypothetical approach, strong interaction can be assumed to be equivalent to a large gravitational coupling. Based on this concept, strong coupling constant can be defined as a ratio of the electromagnetic force and the gravitational force associated with proton, neutron, up quark and down quark. With respect to the product of strong coupling constant and fine structure ratio, we review our recently proposed two semi empirical relations and coefficients 0.00189 and 0.00642 connected with nuclear stability and binding energy. We wish to emphasize that- by classifying nucleons as ‘free nucleons’ and ‘active nucleons’, nuclear binding energy can be fitted with a new class of ‘three term’ formula having one unique energy coefficient. Based on the geometry and quantum nature, currently believed harmonic oscillator and spin orbit magic numbers can be considered as the lower and upper “mass limits” of quark clusters.


2017 ◽  
Vol 5 (2) ◽  
pp. 104
Author(s):  
Satya Seshavatharam UV ◽  
Lakshminarayana S

With reference to ‘reciprocal’ of the strong coupling constant and ‘reduced Compton's wavelength’ of the nucleon, we make an attempt to understand the background of nuclear charge radius, binding energy and stability.


Author(s):  
Satya Seshavatharam U.V ◽  
S. Lakshminarayana

With reference to electromagnetic interaction and Abdus Salam’s strong (nuclear) gravity, 1) Square root of ‘reciprocal’ of the strong coupling constant can be considered as the strength of nuclear elementary charge. 2) ‘Reciprocal’ of the strong coupling constant can be considered as the maximum strength of nuclear binding energy. 3) In deuteron, strength of nuclear binding energy is around unity and there exists no strong interaction in between neutron and proton. G s ≅ 3.32688 × 10 28   m 3 kg - 1 sec - 2 being the nuclear gravitational constant, nuclear charge radius can be shown to be, R 0 ≅ 2 G s m p c 2 ≅ 1.24   fm . e s ≅ ( G s m p 2 ℏ c ) e ≅ 4.716785 × 10 − 19 C being the nuclear elementary charge, proton magnetic moment can be shown to be, μ p ≅ e s ℏ 2 m p ≅ e G s m p 2 c ≅ 1.48694 × 10 − 26   J . T - 1 . α s ≅ ( ℏ c G s m p 2 ) 2 ≅ 0.1153795 being the strong coupling constant, strong interaction range can be shown to be proportional to exp ( 1 α s 2 ) . Interesting points to be noted are: An increase in the value of α s helps in decreasing the interaction range indicating a more strongly bound nuclear system. A decrease in the value of α s helps in increasing the interaction range indicating a more weakly bound nuclear system. From Z ≅ 30 onwards, close to stable mass numbers, nuclear binding energy can be addressed with, ( B ) A s ≅ Z × { ( 1 α s + 1 ) + 30 × 31 } ( m n − m p ) c 2 ≈ Z × 19.66   MeV . With further study, magnitude of the Newtonian gravitational constant can be estimated with nuclear elementary physical constants. One sample relation is, ( G N G s ) ≅ 1 2 ( m e m p ) 10 [ G F ℏ c / ( ℏ m e c ) ] where G N represents the Newtonian gravitational constant and G F represents the Fermi’s weak coupling constant. Two interesting coincidences are, ( m p / m e ) 10 ≅ exp ( 1 / α s 2 ) and 2 G s m e / c 2 ≅ G F / ℏ c .


Author(s):  
Satya Seshavatharam U.V ◽  
S. Lakshminarayana

We present simple relations for nuclear stability and nuclear binding energy with respect to three gravitational constants associated with electroweak, strong and electromagnetic interactions.


Author(s):  
U. V. S. Seshavatharam ◽  
S. Lakshminarayana

With reference to authors recently proposed three virtual atomic gravitational constants and nuclear elementary charge, close to stable mass numbers, it is possible to show that, squared neutron number plays a major role in reducing nuclear binding energy. In this context, Z=30 onwards, ‘inverse of the strong coupling constant’, can be inferred as a representation of the maximum strength of nuclear interaction and 10.09 MeV can be considered as a characteristic nuclear binding energy coefficient. Coulombic energy coefficient being 0.695 MeV, semi empirical mass formula - volume, surface, asymmetric and pairing energy coefficients can be shown to be 15.29 MeV, 15.29 MeV, 23.16 MeV and 10.09 MeV respectively. Volume and Surface energy terms can be represented with (A-A2/3-1)*15.29 MeV. With reference to nuclear potential of 1.162 MeV and coulombic energy coefficient, close to stable mass numbers, nuclear binding energy can be fitted with two simple terms having an effective binding energy coefficient of  [10.09-(1.162+0.695)/2] = 9.16 MeV. Nuclear binding energy can also be fitted with five terms having a single energy coefficient of 10.09 MeV. With further study, semi empirical mass formula can be simplified with respect to strong coupling constant.


Author(s):  
Satya Seshavatharam U.V ◽  
S. Lakshminarayana

With reference to our earlier published views on large nuclear gravitational constant , nuclear elementary charge  and strong coupling constant , in this paper, we present simple relations for nuclear stability range, binding energy of isotopes and magic proton numbers.


1990 ◽  
Vol 209 ◽  
Author(s):  
W. Stadler ◽  
B.K. Meyer ◽  
D.M. Hofmann ◽  
D. Sinerius ◽  
K.W. Benz

ABSTRACTThe recombination luminescence involving the A-center, a Cd vacancy paired with a nearest neighbour donor, was investigated in CdTe doped with group VII and III elements. Depending on the type of donor doping, distinct differences in the A-center acceptor binding energies and electron phonon couplings are resolved. Optically detected magnetic resonance shows that the A-center behaves as a shallow effective masstype acceptor consiscent with its small binding energy.


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