Ammunition Making by George E Frost

By George E Frost

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12 the level spacings are much less sensitive to the strength of the coupling constant. 49). We now present the extension of the GBE chiral quark model [132, 133, 134] beyond the previous pseudoscalar exchange version, which considered the spin-spin hyperfine interaction only. In this extended model the tensor part has also been introduced because the pseudoscalar exchange gives rise to a spin-spin component but to a tensor component as well. The inclusion of the multiple GBE has also been considered by the introduction of vector and scalar meson exchanges.

4: Free parameters of the Hamiltonian [43] in Model I. 3 Model II The regularization of the short-range interaction in the second version, called Model II, is related to the property of a vanishing volume integral of the pseudoscalar meson exchange interaction. In the the Model I this is not the case. However, in a non-relativistic reduction in momentum space we have V (q = 0) = 0 which implies that the volume integral (i. e. the Fourier transform at q = 0) of the Goldstone boson exchange interaction in configuration space should vanish : dr V (r) = 0.

75. This is and orbitally excited states decreases with 4π precisely the desired behavior of reproducing the correct order of the experimental spectrum as it was achieved with the GBE interaction but this time coming from a potential whose Laplacian is negative in a region around the origin. 49) for increasing values of the coupling constant gσ2 /(4π) in the limit Λ → ∞ [122]. 12: Same as Fig. 11 but for a finite cut-off Λ = 2 GeV [122]. 4 Spectra 37 Realistically, one expected Λσ to be finite.

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