Nucleon–Deuteron Breakup Differential Cross Sections Derived from the Quark-Model NN Interaction

The nd and pd breakup differential cross sections for E _N ≤ 65 MeV are examined using the energy-independent quark-model nucleon–nucleon interaction fss2. The Coulomb effect is incorporated by the sharp cut-off Coulomb force, acting between quarks, without the phase-shift renormalization for the breakup amplitudes. Our model yields the results very similar to the meson-exchange potentials, including disagreement for some specific kinematical configurations. This includes the notorious space star anomaly of the nd and pd scattering at E _N  = 13 MeV. The KVI data for the breakup differential cross sections of E _d  = 130 MeV dp scattering are reasonably reproduced by taking the Coulomb cut-off radius ρ = 16 fm.     

Signatures of Central Collisions in Inelastic Nucleon–Nucleon Scattering

Physics of Particles and Nuclei Letters - Nucleon–nucleon collisions with impact-parameter values below the nucleon quark-core radius are considered and experimental signatures for selecting...     

Infinite-Cutoff Renormalization of the Chiral Nucleon–Nucleon Interaction up to N3LO

Naively, the “best” method of renormalization is the one where a momentum cutoff is taken to infinity while maintaining stable results due to a cutoff-dependent adjustment of counterterms. We have applied this renormalization method in the non-perturbative calculation of phase-shifts for nucleon–nucleon (NN) scattering using chiral NN potentials up to next-to-next-to-next-to-leading order (N³LO). For lower partial waves, we find that there is either no convergence with increasing order or, if convergence occurs, the results do not always converge to the empirical values. For higher partial waves, we always observe convergence to the empirical phase shifts (except for the ³G₅ state). Furthermore, no matter what the order is, one can use only one or no counterterm per partial wave, creating a rather erratic scheme of power counting that does not allow for a systematic order-by-order improvement of the predictions. The conclusion is that infinite-cutoff renormalization is inappropriate for chiral NN interactions, which should not come as a surprise, since the chiral effective field theory (chiral EFT), these interactions are based upon, is designed for momenta below the chiral-symmetry breaking scale of about 1 GeV. Therefore, this value for the hard scale should also be perceived as the appropriate upper limit for the momentum cutoff.     

Wilsonian RG Analysis of the P-wave Nucleon–Nucleon Scattering Including Pions

We perform a Wilsonian renormalization group analysis for the nucleon–nucleon scattering in the P waves in the nuclear effective field theory including pions, in a similar way to the one done for the S-waves in our previous paper. We emphasize that the one-pion exchange interaction with large momentum transfer is of the same order as the leading contact interaction, so that there is no mismatch of the power counting. It is explicitly shown by obtaining consistent sets of renormalization group equations, that the cutoff dependence generated by the loop diagrams containing pion exchanges can be compensated by the cutoff dependence of the coupling constants of the contact interactions.     

Hyperon–Nucleon Interaction in Chiral Effective Field Theory

Results from an ongoing study of the hyperon-nucleon system within chiral effective field theory are reported. The investigation is based on the scheme proposed by Weinberg which has been applied rather successfully to the nucleon-nucleon interaction in the past. First results for the hyperon-nucleon interaction at next-to-leading order are presented and discussed.     

Elastic α-Nucleus Scattering at 36 to 60 Mev/Nucleon

Working within the framework of the Coulomb modified Glauber model and using the optical limit approximation to evaluate the elastic S-matrix, we use a parameterized effective nucleon-nucleon phase shift function instead of the frequently applied Gaussian parameterization of the nucleon-nucleon scattering amplitude to compute elastic differential cross sections for alpha particles. Our phenomenological ansatz contains three parameters which are adjusted in order to reproduce the alpha nucleus elastic scattering data for one nucleus at each of three beam energies. It is found that once the nucleon-nucleon phase shift function is so calibrated, our model very nicely reproduces elastic alpha scattering data on other nuclei at the same energy.     

Testing Nucleon–nucleon Potentials in Three- and Four-nucleon Scattering Observables

We present a theoretical study of three- and four-nucleon continuum within the hyperspherical harmonics method, using a representative variety of realistic nucleon–nucleon potential models, i.e. one of phenomenological type, the Argonne v ₁₈ (AV18), one obtained within chiral effective field theory up to next-to-next-to-next-leading order, the Idaho N3LO (I-N3LO), and a “low-k” model derived from the CD-Bonn potential. In particular, the convergence pattern for the four-nucleon system is found to be problematic for the P-waves phase-shifts in the case of the AV18 potential at higher energies. An extrapolation procedure is presented and discussed. Finally, we present the theoretical results for p?d and p?³ scattering observables at two selected energies, and we compare these with the available experimental data. In particular, some spread in the unpolarized cross section and in some polarization observables has been observed using the three potential models, in particular for A =  4. Furthermore the well known discrepancy in the vector polarization observables remains for the three potential models.     

Experimental Results on Ultrahigh-Energy Cosmic Rays and Asymptotic Behavior of the Total Cross Section for Nucleon–Nucleon Interaction

Results obtained by studying the energy dependence of the total cross section for nucleon–nucleon interaction are presented. The analytic parametrization proposed within axiomatic quantum field theory describes quantitatively a unified set of experimental data on proton–proton and antiproton–proton scattering. At collision energies above 86 GeV, the parameter values fitted to subsets of all available data and accelerator data alone were found to deviate from the respective asymptotic values. This indicates that the Froissart–Martin limit for the total cross section has not yet been reached in the case of these subsets. An approximation of the total nucleon–nucleon cross section measured in cosmic rays leads for some parameters to fitted values that, within 1.0 to 1.3 standard deviations, agree with the respective asymptotic values. This resultmay be viewed as an indication of the beginning of the asymptotic functional behavior of the total nucleon–nucleon cross section measured in cosmic rays of ultrahigh energy O(100 TeV). This is confirmed within the color glass condensate approach.     

Antikaon–Nucleon Dynamics and its Application to Few-Body Systems

We overview the recent progress in the investigation of the antikaon dynamics with single nucleon and with few-body nuclei, based on chiral SU(3) symmetry. We first show how the Λ(1405) resonance emerges from the coupled-channel ${\bar{K}N - \pi\Sigma}$ interaction. Next, we present the construction of an up-to-date ${\bar{K}N}$ interaction in response to the recent measurement of kaonic hydrogen. Finally, we discuss the possibility of the antikaon bound states in nuclei from the perspective of few-body physics.     

Lambda-Nucleon and Nucleon–Nucleon Interactions on the Lattice

Lattice QCD study of nuclear potentials is reported. A lattice QCD method to calculate realistic nuclear potentials is developed. In this method, Bethe–Salpeter wave functions generated on the lattice are used to reconstruct nuclear potentials by using Schrödinger equation. It is one of the possible extensions of Lüscher’s finite volume method for scattering phase shifts. Hence the resulting potential can reproduce the scattering data. The method was first applied to the central potential in NN system. It is now applied to various objects, such as tensor potential, hyperon potentials both in quenched QCD and 2 + 1 flavor QCD generated by PACS-CS Collaboration.     

Axial Vector-Meson–Nucleon Interaction Constant in the AdS/QCD Soft Wall Model

Russian Physics Journal - This work investigates the interaction of an axial vector-meson with nucleons in the AdS/QCD soft wall model. The axial vector fields have been determined inside the...     

Effect of Three Nucleon Forces in p − 3He Scattering

The effect of the inclusion of different models of three nucleon (3N) forces in p ? ³He elastic scattering at low energies is studied. Two models have been considered: one derived from effective field theory at next-to-next-to-leading order and one derived from a more phenomenological point of view—the so-called Illinois model. The four nucleon scattering observables are calculated using the Kohn variational principle and the hyperspherical harmonic technique and the results are compared with available experimental data. We have found that with the inclusion of both 3N force models the agreement with the experimental data is improved, in particular for the proton vector analyzing power A _y .     

What Can High-Energy Elastic Scattering Tell Us About Nucleon Structure?

Basic assumptions used in the analysis of elastic differential cross section data will be discussed and the arguments for the transparency of nucleons will be analyzed. It will be shown that the transparency of nucleon is a direct consequence when a weak t dependence of hadronic amplitude phase is used in analogy with optics. The phase t dependence may be hardly uniquely determined from elastic scattering data, being only partially limited by the Coulomb-hadronic interference existing in a very narrow region of small |t| values. The given situation will be demonstrated with the help of data for collisions at 541 GeV; nucleons being transparent or having hard cores may be admitted by the elastic data themselves. However, when further characteristic of inelastic and elastic processes are compared, the nucleon with hard core should be preferred. The most probable characteristics of nucleon structure derived from the data will be presented.     

Differential Cross Section for Elastic Deuteron–Proton Scattering at the Energy of 700 MeV per Nucleon

The results of measurements of the differential cross section for elastic deuteron–proton scattering at the energy of 700 MeV per nucleon that were performed at the internal target station of the nuclotron at the Joint Institute for Nuclear Research (JINR, Dubna) are presented. These data were obtained at angles in the range between 70? and 120? in the c.m. frame. The angular dependence obtained in this way is compared with world-averaged data at similar energies and with the results of theoretical calculations performed within the relativistic theory of multiple scattering.