We present a new energy-dependent partial-wave analysis of all antiproton-proton elastic (pp → pp) and charge-exchange (pp → nn) scattering data below 925 MeV/c antiproton laboratory momentum. The long-range parts of the chiral one-and two-pion exchange interactions are included exactly. The short-range interactions, including the coupling to the mesonic annihilation channels, are parametrized by a complex boundary condition at a radius of r = 1.2 fm. The updated database, which includes significantly more high-quality charge-exchange data, contains 3749 scattering data. The fit results in χ 2 min /N df = 1.048, where N df = 3578 is the number of degrees of freedom. We discuss the description of the experimental data and we present the antiproton-proton phase-shift parameters.
We investigate the polarization parameters in low-energy antiproton-proton
elastic ($\bar{p}p\rightarrow\bar{p}p$) and charge-exchange
($\bar{p}p\rightarrow\bar{n}n$) scattering. The predictions for unmeasured
observables are based on our new energy-dependent partial-wave analysis of all
antiproton-proton scattering data below 925 MeV/$c$ antiproton laboratory
momentum, which gives an optimal description of the existing database. Sizable
and remarkable spin effects are observed, in particular for charge-exchange
scattering. These result from the spin dependence of the long- and medium-range
one- and two-pion exchange antinucleon-nucleon potential and the state
dependence of the parametrized short-range interaction. We study the
possibility of polarizing a circulating antiproton beam with a polarized proton
target by exploiting the spin dependence of the $\bar{p}p$ total cross section.
It appears feasible to achieve a significant transverse polarization of an
antiproton beam within a reasonable time
Near-field acoustical holography is a powerful tool for reconstructing the three-dimensional acoustic field radiated from a vibrating structure located in free space, but it is not applicable when the source is in a half space bounded by a reflecting boundary. This paper develops a method based on half-space spherical wave function expansion for reconstructing the acoustic field radiated directly from a source located near a pressure-release boundary. First, the series of half-space spherical wave basis functions satisfying the pressure-release boundary condition is formulated. Then the acoustic field in a half space is modeled using an expansion in this basis. The expansion coef?cients are determined by solving an overdetermined linear system of equations, obtained by matching this expansion to the measured half-space acoustic pressures. The pressures radiated directly from the source can finally be reconstructed using the free-space spherical wave function expansion with the obtained expansion coefficients. Numerical simulation examples of a vibrating plate located in water near a pressure-release boundary are demonstrated to validate the proposed method. The effects of various parameters, such as the acoustic frequency, the distance between the source and boundary, and the orientation of the source surface, on the reconstruction accuracy are examined.
The renormalization of iterated one-pion exchange (OPE) has been studied in Chiral Effective Field Theory (χEFT) for the antinucleon-nucleon (NN ) scattering in some partial waves (Phys.Rev. C 105, 054005 (2022)). We go further for the other higher partial waves but with total angular momenta J ≤ 3 in this paper. Contact interactions are represented by a complex spherical well in coordinate space. Changing the radius of the spherical well means changing the cutoff. We check the cutoff dependence of the phase shifts, inelasticities, and mixing angles for the partial waves, and show that contact interactions are needed at leading order in channels where the singular tensor potentials of OPE are attractive. Results are compared with the energy-dependent partial-wave analysis of NN scattering data. Comparisons between our conclusions and applications of χEFT to the nucleon-nucleon system are discussed as well.
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