85 research outputs found

    Quark Coulomb Interactions and the Mass Difference of Mirror Nuclei

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    We study the Okamoto-Nolen-Schiffer (ONS) anomaly in the binding energy of mirror nuclei at high density by adding a single neutron or proton to a quark gluon plasma. In this high-density limit we find an anomaly equal to two-thirds of the Coulomb exchange energy of a proton. This effect is dominated by quark electromagnetic interactions---rather than by the up-down quark mass difference. At normal density we calculate the Coulomb energy of neutron matter using a string-flip quark model. We find a nonzero Coulomb energy because of the neutron's charged constituents. This effect could make a significant contribution to the ONS anomaly.Comment: 4 pages, 2 figs. sub. to Phys. Rev. Let

    Mirror displacement energies and neutron skins

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    A gross estimate of the neutron skin [0.80(5)(N−Z)/A(N-Z)/A fm] is extracted from experimental proton radii, represented by a four parameter fit, and observed mirror displacement energies (CDE). The calculation of the latter relies on an accurately derived Coulomb energy and smooth averages of the charge symmetry breaking potentials constrained to state of the art values. The only free parameter is the neutron skin itself. The Nolen Schiffer anomaly is reduced to small deviations (rms=127 keV) that exhibit a secular trend. It is argued that with state of the art shell model calculations the anomaly should disappear. Highly accurate fits to proton radii emerge as a fringe benefit.Comment: 4 pages 3 figures, superseeds first part of nucl-th/0104048 Present is new extended version: 5 pages 4 figures. Explains more clearly the achievements of the previous on

    Off-shell Behavior of the Ï€â€‰âŁâˆ’â€‰âŁÎ·\pi\!-\!\eta Mixing Amplitude

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    We extend a recent calculation of the momentum dependence of the ρ−ω\rho-\omega mixing amplitude to the pseudoscalar sector. The Ï€â€‰âŁâˆ’â€‰âŁÎ·\pi\!-\!\eta mixing amplitude is calculated in a hadronic model where the mixing is driven by the neutron-proton mass difference. Closed-form analytic expressions are presented in terms of a few nucleon-meson parameters. The observed momentum dependence of the mixing amplitude is strong enough as to question earlier calculations of charge-symmetry-breaking observables based on the on-shell assumption. The momentum dependence of the Ï€â€‰âŁâˆ’â€‰âŁÎ·\pi\!-\!\eta amplitude is, however, practically identical to the one recently predicted for ρ−ω\rho-\omega mixing. Hence, in this model, the ratio of pseudoscalar to vector mixing amplitudes is, to a good approximation, a constant solely determined from nucleon-meson coupling constants. Furthermore, by selecting these parameters in accordance with charge-symmetry-conserving data and SU(3)-flavor symmetry, we reproduce the momentum dependence of the Ï€â€‰âŁâˆ’â€‰âŁÎ·\pi\!-\!\eta mixing amplitude predicted from chiral perturbation theory. Alternatively, one can use chiral-perturbation-theory results to set stringent limits on the value of the NNηNN\eta coupling constant.Comment: 13 pages, Latex with Revtex, 3 postscript figures (not included) available on request, SCRI-03089

    Parity Violating Measurements of Neutron Densities

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    Parity violating electron nucleus scattering is a clean and powerful tool for measuring the spatial distributions of neutrons in nuclei with unprecedented accuracy. Parity violation arises from the interference of electromagnetic and weak neutral amplitudes, and the Z0Z^0 of the Standard Model couples primarily to neutrons at low Q2Q^2. The data can be interpreted with as much confidence as electromagnetic scattering. After briefly reviewing the present theoretical and experimental knowledge of neutron densities, we discuss possible parity violation measurements, their theoretical interpretation, and applications. The experiments are feasible at existing facilities. We show that theoretical corrections are either small or well understood, which makes the interpretation clean. The quantitative relationship to atomic parity nonconservation observables is examined, and we show that the electron scattering asymmetries can be directly applied to atomic PNC because the observables have approximately the same dependence on nuclear shape.Comment: 38 pages, 7 ps figures, very minor changes, submitted to Phys. Rev.

    Coulomb explosion of 173-MeV HeH+ ions traversing carbon foils

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    The Coulomb explosion of 173-MeV HeH1 molecular ions traversing thin carbon foils has been measured for foil thicknesses ranging from 2 to 200 mg/cm2. In contrast with measurements at lower energies, the energy spectra for protons observed emerging in the incident beam direction show distinct components that correspond to the partner helium ions being in charge states 0, 1, and 2. From an analysis of the variation of the yields of these components as functions of the target thickness, we extract electron-loss cross sections that are in good agreement with theoretical estimates. ‘‘Wake effects’’ that increase with increasing target thickness are observed as asymmetries in the yields and energy shifts for ‘‘backward-going’’ as compared to ‘‘forward-going’’ protons

    A quark model analysis of the charge symmetry breaking in nuclear force

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    In order to investigate the charge symmetry breaking (CSB) in the short range part of the nuclear force, we calculate the difference of the masses of the neutron and the proton, ΔM\Delta {\rm M}, the difference of the scattering lengths of the p-p and n-n scatterings, Δa\Delta a, and the difference of the analyzing power of the proton and the neutron in the n-p scattering, ΔA(ξ)\Delta A(\theta), by a quark model. In the present model the sources of CSB are the mass difference of the up and down quarks and the electromagnetic interaction. We investigate how much each of them contributes to ΔM\Delta {\rm M}, Δa\Delta a and ΔA(ξ)\Delta A(\theta). It is found that the contribution of CSB of the short range part in the nuclear force is large enough to explain the observed ΔA(ξ)\Delta A(\theta), while Δa\Delta a is rather underestimated.Comment: 26 pages,6 figure

    The Momentum Dependence of the ρ−ω\rho-\omega Mixing Amplitude in a Hadronic Model

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    We calculate the momentum dependence of the ρ−ω\rho-\omega mixing amplitude in a purely hadronic model. The basic assumption of the model is that the mixing amplitude is generated by NNˉN{\bar{N}} loops and thus driven entirely by the neutron-proton mass difference. The value of the amplitude at the ω\omega-meson point is expressed in terms of only the NNωNN\omega and the NNρNN\rho coupling constants. Using values for these couplings constrained by empirical two-nucleon data we obtain a value for the mixing amplitude in agreement with experiment. Extending these results to the spacelike region, we find a ρ−ω\rho-\omega contribution to the NN interaction that is strongly suppressed and opposite in sign relative to the conventional contribution obtained from using the constant on-shell value for the mixing amplitude.Comment: 11 pages, SCRI-12219

    An accurate nucleon-nucleon potential with charge-independence breaking

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    We present a new high-quality nucleon-nucleon potential with explicit charge dependence and charge asymmetry, which we designate Argonne v18v_{18}. The model has a charge-independent part with fourteen operator components that is an updated version of the Argonne v14v_{14} potential. Three additional charge-dependent and one charge-asymmetric operators are added, along with a complete electromagnetic interaction. The potential has been fit directly to the Nijmegen pppp and npnp scattering data base, low-energy nnnn scattering parameters, and deuteron binding energy. With 40 adjustable parameters it gives a χ2\chi^{2} per datum of 1.09 for 4301 pppp and npnp data in the range 0--350 MeV.Comment: 36 pages, PHY-7742-TH-9
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