“…An estimate similar to ours, but based on the proportionality between 0;~and Ap, has also been given in [10]: cr@ = 0.632(3) fm . There is thus good compatibility among all these estimates.…”
Section: Determination Of the Electric Polarizability And The Asysupporting
confidence: 68%
“…-state properties, and with the computed values of the deuteron dipole polarizability given in Refs. [10,16]. In Table I its zero-range approximation o«, the deuteron S-waveonly approximation u&s, the D-wave correction En+~, and the correction due to the odd-parity forces La&.…”
Section: Results For Realistic Nn Interactionsmentioning
confidence: 99%
“…We therefore present estimates obtained with this simple model, to gain a qualitative understanding of which quantities inQuence the value of the LEp~. We were guided in this study by the discussion and findings of Friar and Fallieros [10] on the dipole electric polarizability, …”
Section: Polarizability Energy Shiftsmentioning
confidence: 99%
“…Zero-range estimates It was shown long ago [10,11] that the zero-range approximation is a very useful, and sometimes remarkably accurate, model to describe deuteron properties dominated by the long-range part of the wave function. Explicit calculations, to be presented later, show that this is the case for the polarizability shifts.…”
New laser-based measurements of the isotope shift between hydrogen and deuterium by Hansch et al. should determine accurately the deuteron matter radius r . We study the contribution of the deuteron polarizability energy shifts to the isotopic difference and show that this is known in a model independent way. We also make accurate determinations of the asymptotic normalization and the electric dipole polarizability by exploiting empirical linear relations between them and r PACS uumber(s): 32.30.Jc, 32.10.Bi, 21.10.Ft
“…An estimate similar to ours, but based on the proportionality between 0;~and Ap, has also been given in [10]: cr@ = 0.632(3) fm . There is thus good compatibility among all these estimates.…”
Section: Determination Of the Electric Polarizability And The Asysupporting
confidence: 68%
“…-state properties, and with the computed values of the deuteron dipole polarizability given in Refs. [10,16]. In Table I its zero-range approximation o«, the deuteron S-waveonly approximation u&s, the D-wave correction En+~, and the correction due to the odd-parity forces La&.…”
Section: Results For Realistic Nn Interactionsmentioning
confidence: 99%
“…We therefore present estimates obtained with this simple model, to gain a qualitative understanding of which quantities inQuence the value of the LEp~. We were guided in this study by the discussion and findings of Friar and Fallieros [10] on the dipole electric polarizability, …”
Section: Polarizability Energy Shiftsmentioning
confidence: 99%
“…Zero-range estimates It was shown long ago [10,11] that the zero-range approximation is a very useful, and sometimes remarkably accurate, model to describe deuteron properties dominated by the long-range part of the wave function. Explicit calculations, to be presented later, show that this is the case for the polarizability shifts.…”
New laser-based measurements of the isotope shift between hydrogen and deuterium by Hansch et al. should determine accurately the deuteron matter radius r . We study the contribution of the deuteron polarizability energy shifts to the isotopic difference and show that this is known in a model independent way. We also make accurate determinations of the asymptotic normalization and the electric dipole polarizability by exploiting empirical linear relations between them and r PACS uumber(s): 32.30.Jc, 32.10.Bi, 21.10.Ft
The total photodisintegration cross sections of three-body nuclei are calculated with semirealistic NN potentials below pion threshold. Full final state interaction with Coulomb force is taken into account via the Lorentz integral transform method. The experimental total cross sections are well described and the sum rule σ −1 ( 3 H) agrees with elastic electron scattering data. The calculated 3 He polarizability is 0.15 fm 3 .
A set of exactly computable orthonormal basis functions that are useful in
computations involving constituent quarks is presented. These basis functions
are distinguished by the property that they fall off algebraically in momentum
space and can be exactly Fourier-Bessel transformed. The configuration space
functions are associated Laguerre polynomials multiplied by an exponential
weight, and their Fourier-Bessel transforms can be expressed in terms of Jacobi
polynomials in $\Lambda^2/(k^2 + \Lambda^2)$. A simple model of a meson
containing a confined quark-antiquark pair shows that this basis is much better
at describing the high-momentum properties of the wave function than the
harmonic-oscillator basis.Comment: 12 pages LaTeX/revtex, plus 2 postscript figure
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