General numerical solutions of the Friedberg-Lee soliton model for ground and excited states

Abstract

A new numerical method is applied to solving the equations of motion of the Friedberg-Lee soliton model for both ground and spherically symmetric excited states. General results have been obtained over a wide range of parameters. Critical coupling constants and particle numbers have been determined below which soliton solutions cease to exist. The static properties of the proton are considered to show that as currently formulated the model fails to fit all experimental data for any set of parameters.

Modified Lee-Friedberg soliton-bag model with absolute confinement

“…Note that our scaling scheme differs from the one employed in [9,11] since we cannot use the (adependent) coupling strength g as a scaling parameter.…”

How much can one break chiral symmetry in the linear sigma model?

“…It is well known that classically stable non-topological solitonic solutions exist only for a limited range of the model parameter values [13][14][15]. This general property, which has been well documented by numerical investigations in various field-theoretical models [16][17][18][19], has the consequence that, when -ca (or mR) is varied, all the other model parameters being fixed, the solitonic solution describing the nucleon ceases to exist above a critical value -c] (or m~).To show this, we consider the SU ( (a:= 0, ..., 8) combines a scalar nonet ~ and a pseudoscalar nonet ~b~ coupled to the quark triplet field 0, and …”

“…In this model, or the corresponding SU(2)x SU(2) model, spherically-symmetric soliton solutions describing a non-strange baryon may be obtained [10--12] in the mean-field approximation with the aid of the hedgehog ansatz [21]. For given values of the potential and symmetry-breaking parameters, soliton solutions exist only when the quark-meson coupling constant f is larger than some critical value fc [10,16,18]. Actually, for f >f~ the solution has two branches, which smoothly join at f=f~ (Fig.…”

Detecting Single Molecules in Liquids

“…In fluorescence correlation spectroscopy (25,26), a confocal microscope measures average fluctuations in the fluorescence signal using digital autocorrelation analysis of time-resolved fluorescence signals (27). The benefit of this type of approach is that the autocorrelation function carries information on diffusion constants that can be related to the size of the analyte (i.e., distinguish a small polypeptide from a large protein or DNA fragment).…”