Determination of nucleon-nucleon potentials from coupled partial waves using the Marchenko theory
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Woods–Saxon potential
Nuclear force
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Propagator
Vacuum polarization
Hartree
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Two-photon decays of vector mesons and dilepton decays of scalar mesons, which are forbidden in vacuum and can occur in dense baryonic matter due to the explicit violation of Lorentz symmetry, are described within a quark model of the Nambu–Jona-Lasinio type. The temperature and chemical potential dependence of these processes is investigated. It is found that their contribution to the production of photons and leptons in heavy-ion collisions is enhanced near the conditions corresponding to the restoration of chiral symmetry. Moreover, in the case of the a0-meson and especially the ρ-meson, a resonant behaviour (an additional amplification) is observed due to the degeneration of ρ and a0 masses when hot hadron matter approaches a chirally symmetric phase.
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We consider the recently developed relativistic mean-field theory of nuclei. Exchange of scalar and vector mesons between slowly moving nucleons leads to an effective static potential interaction. We solve the Bethe-Goldstone equation for this static interaction in order to estimate the order of magnitude of the corrections to the theory due to short-range nucleon-nucleon correlations. We find that the masses of the scalar and vector mesons must be made quite small before the Hartree approximation is a reasonable first approximation.NUCLEAR STRUCTURE Relativistic mean-field theory; role of short-range correlations; criteria for use of mean-field approximations.
Mean field theory
Hartree
Field theory (psychology)
Vector meson
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We study the heavy-light mesons in a relativistic model, which is derived from the instantaneous Bethe-Salpeter equation by applying the Foldy-Wouthuysen transformation on the heavy quark. The kernel we choose is based on scalar confining and vector Coulomb potentials, the transverse interaction of the gluon exchange is also taken into account in this model. The spectra and wave functions of $D$, $D_s$, $B$, $B_s$ meson states are obtained. The spectra are calculated up to the order of $1/m_Q$, and wave functions are treated to leading order.
Bethe–Salpeter equation
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Lepton-nucleon elastic scattering, using the one-photon and one-scalar-boson exchange mechanisms considering all possible polarizations, is used to study searches for a new scalar boson and suggest new measurements of the nucleon form factors. A new light scalar boson, which feebly couples to leptons and nucleons, may account for the proton radius and muon $g-2$ puzzles. We show that the scalar boson produces relatively large effects in certain kinematic region when using sufficient control of lepton and nucleon spin polarization. We generalize current techniques to measure the ratio $G_E/G_M$ and present a new method to separately measure $G_M^2$ and $G_E^2$ using polarized incoming and outgoing muons.
Scalar boson
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Abstract Hadronic three-body decays of B mesons receive both resonant and nonresonant contributions. Dominant nonresonant contributions to tree-dominated three-body decays arise from the b → u tree transition which can be evaluated using heavy meson chiral perturbation theory valid in the soft meson limit. For penguin-dominated decays, nonresonant signals come mainly from the penguin amplitude governed by the matrix elements of scalar densities 〈 M 1 M 2 | q ‾ 1 q 2 | 0 〉 . The intermediate vector meson contributions to three-body decays are identified through the vector current, while the scalar meson resonances are mainly associated with the scalar density. We discuss inclusive and regional direct CP asymmetries. In the low mass regions of the Dalitz plot, we find that the regional CP violation is indeed largely enhanced with respect to the inclusive one.
Scalar meson
Dalitz plot
B meson
Vector meson
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A one-boson-exchange potential (OBEP) with six kinds of bosons (π, σ, ρ, ω, η and δ) is treated in momentum space to describe the nucleon-nucleon interaction below 400 MeV. Integral equations containing OBEP with full nonstatic effects are solved numerically. All the experimental phase shifts for the states with L ≧1 are well reproduced by adjusting only four parameters of ω-nucleon coupling constant g2ω/4π, δ-nucleon coupling constant g2δ/4π, σ-nucleon coupling constant g2σ/4π and mass of σ-meson mσ. The contribution from η-meson exchange is shown to be small. S-state phase shifts are also reproduced if the contribution from higher momentum part is cut off. A list of all the matrix elements of the nonstatic OBEP is given.
Coupling constant
Momentum (technical analysis)
Nuclear force
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