120759295
Finite difference solution of the partial-wave Schrodinger equation
A method is developed for the numerical determination of bound states and the eigenvalues of the Lippmann-Schwinger kernel for any local interaction. The eigenvalues of the scattering kernel are analytically continued from negative energies to positive energies by means of Pade approximants. The method is applied to calculations on low energy neutron-proton scattering.
121133729
The off-shell Born approximation for local potentials
Assuming the existence of a (possibly energy-dependent) local potential satisfying 0 integral infinity mod V(r) mod r2dr 2k.
120039280
Approximations to the Newton potential
Explicit expressions are obtained for Newton's (1962) solution to the inverse scattering problem in the approximations where up to two phase shifts are treated exactly and the rest to first order.
117548189
Two-body off-shell potential scattering
SummaryA method is developed for the calculation of two-body scattering amplitudes for a wide class of local potentials, both on and off the energy shell. Padé approximants, ratios of polynomials in both the energy and the off-shell momenta, are obtained for the terms in Weinberg’s separable expansion of theT-matrix, giving a simple representation of the matrix elements for all off-shell momenta, and energies throughout the complex plane. The approximants are exact for the Hulthén potential, and results are given for the Yukawa potential.RiassuntoSi sviluppa un metodo per il calcolo delle ampiezze di scattering di due corpi per un’ampia classe di potenziali locali, sia sopra che fuori dello strato dell’energia. Si ottengono gli approssimanti di Padé, i rapporti dei polinomi dell'energia e degli impulsi fuori dallo strato, per i termini nello sviluppo separabile di Weinberg della matriceT, che dà una semplice rappresentazione degli elementi di matrice per tutti gli impulsi fuori dallo strato, e le energie su tutto il piano complesso. Gli approssimanti risultano esatti per il potenziale di Hulthén; si forniscono anche i risultati per il potenziale di Yukawa.РезюмеРазвивается метод для вычисления двух-частичных амплитуд расселния для широкого класса локальных потенциалов на и вне энергетической поверхности. Получаются Падз аппроксимации, отношения полиномов и по энергии и по импульсу вне массовой поверхности для членов в разделяемом разложении Вейнберга дляT-матрицы, которое дает простое представление матричных элементов для любых импульсов вне массовой поверхности и энергий во всей комплексной области. Аппроксимации являются точными для потенциала Хюльтена, и приводятся результаты для потенциала юкавы.
122995152
S-wave eigenvalues of the Lippmann-Schwinger kernel for the exponential potential
It is shown that the S-wave eigenvalues of the Lippmann-Schwinger kernel for the exponential potential can be determined from the zeros of a Bessel function whose order is energy dependent. An asymptotic expansion is obtained for the leading eigenvalue at negative energies.
199676973
Can hyperon/meson ratios in rare high multiplicity pp collisions at Large Hadron Collider energies provide signatures of mini-quark-gluon plasma formation?
118234048
QCD Results from the Fermilab Tevatron proton-antiproton Collider
Selected recent quantum chromodynamics (QCD) measurements are reviewed for Fermilab Run II Tevatron proton-antiproton collisions studied by the Collider Detector at Fermilab (CDF) and D0 Collaborations at a centre-of-mass energy of {radical}s = 1.96 TeV. Tantamount to Rutherford scattering studies at the TeV scale, inclusive jet and dijet production cross-section measurements are used to seek and constrain new particle physics phenomena, test perturbative QCD calculations, inform parton distribution function (PDF) determinations, and extract a precise value of the strong coupling constant, a{sub s}(m{sub Z}) = 0.1161{sub -0.0048}{sup +0.0041}. Inclusive photon production cross-section measurements reveal an inability of next-to-leading-order (NLO) perturbative QCD (pQCD) calculations to describe low-energy photons arising directly in the hard scatter. Events with {gamma} + 3-jet configurations are used to measure the increasingly important double parton scattering (DPS) phenomenon, with an obtained effective interaction cross section of {sigma}{sub eff} = 16.4 {+-} 2.3 mb. Observations of central exclusive particle production demonstrate the viability of observing the Standard Model Higgs boson using similar techniques at the Large Hadron Collider (LHC). Three areas of inquiry into lower energy QCD, crucial to understanding high-energy collider phenomena, are discussed: the examination of intra-jet track kinematics to infer that jet formation is dominatedmore » by pQCD, and not hadronization, effects; detailed studies of the underlying event and its universality; and inclusive minimum-bias charged-particle momentum and multiplicity measurements, which are shown to challenge the Monte Carlo generators.« less