Positronium-formation cross sections in the eikonal approximation

1988 ◽  
Vol 66 (6) ◽  
pp. 471-475 ◽  
Author(s):  
S. Tripathi ◽  
C. Sinha ◽  
N. C. Sil

Positronium-formation cross sections have been studied in the framework of the eikonal approximation, where the boundary condition has been properly satisfied, taking consistent account of the internuclear potential term both in the eikonal phase and in the interaction potential. The six-dimensional integral of the Glauber eikonal amplitude has been reduced to a single-dimensional one. The differential as well as the total cross sections have been studied and compared with other existing theoretical results, as the experimental data are not yet available in the literature. The eikonal results are found to give reasonable estimates at intermediate, high, and extremely high energies.

2014 ◽  
Vol 29 ◽  
pp. 1460244
Author(s):  
Ju-Jun Xie ◽  
En Wang ◽  
Bo-Chao Liu ◽  
J. Nieves

The associate KΛ(1520) photon and hadronic production in the γp → K+Λ(1520), pp → pK+Λ(1520) and π-p → K0Λ(1520) reactions are investigated within the effective Lagrangian approach and the isobar model. We are interested in the contribution from the N*(2120) (previously called N*(2080)) resonance, which has a significant coupling to the KΛ(1520) channel. The theoretical results show that the current experimental data for the γp → K+Λ(1520) reaction favor the existence of the N*(2120) resonance, and that these measurements can be used to further constrain its properties. We present results, including the N*(2120) contribution, for total cross sections of the γp → K+Λ(1520), π-p → K0Λ(1520), and pp → pK+Λ(1520) reactions. For this latter one, we also calculate invariant mass and Dalitz plot distributions.


1994 ◽  
Vol 47 (3) ◽  
pp. 265
Author(s):  
N Ranjit Singh ◽  
NC Deb ◽  
Th Subodh Chandra Singh ◽  
M Babuyaima Singh ◽  
PS Mazumdar

Total cross sections for positronium formation in positron-potassium and positron-rubidium scattering have been calculated in a distorted wave approximation for incident positrons in the energy range 1 to 50 eV. The present results are compared with other theoretical results and with measurement where available.


The charge exchange forward scattering amplitude 1.1 1.2 using an interpolation of the total cross sections which includes the results presented by Dr Galbraith at this meeting. From F (-) follows a prediction for the charge exchange forward cross section (c.m. system) 1.3 which will be compared with the experimental data including those presented by Dr Falk-Vairant and Dr Guerriero.


KnE Energy ◽  
2018 ◽  
Vol 3 (1) ◽  
pp. 21
Author(s):  
Yu Penionzhkevich ◽  
Yu Sobolev ◽  
V Samarin ◽  
M Naumenko

The paper presents the results of measurement of the total cross sections for reactions 4,6He + Si and 6,7,9Li + Si in the beam energy range 5−50 A⋅MeV. The enhancements of the total cross sections for reaction 6He + Si compared with reaction 4He + Si, and 9Li + Si compared with reactions 6,7Li + Si have been observed. The performed microscopic analysis of total cross sections for reactions 6He + Si and 9Li + Si based on numerical solution of the time-dependent Schrödinger equation for external neutrons of projectile nuclei 6He and 9Li yielded good agreement with experimental data.


2009 ◽  
Vol 64 (9-10) ◽  
pp. 665-670
Author(s):  
Xiao-Ming Tan ◽  
Chuan-Lu Yang ◽  
Mei-Shan Wang ◽  
Zhi-Hong Zhang

The total cross sections for electron scattering from He, Ne, Ar, Kr and Xe in the energy range from 100 eV to 10 000 eV have been calculated based on the optical-model potential. Our theoretical results are compared with the available experimental data. The consistency between them is also discussed. At higher energies (over 2000 eV for He, over 5000 eV for Ne, Ar, Kr and Xe), the total cross sections of electron scattering from these atoms are scarce, so our calculations will give a reference for further experimental and theoretical studies.


2019 ◽  
Vol 206 ◽  
pp. 06005 ◽  
Author(s):  
Piotr Lebiedowicz ◽  
Otto Nachtmann ◽  
Antoni Szczurek

We review some selected results of the tensor-pomeron and vectorodderon model of soft high-energy proton-proton scattering and central exclusive production of meson and baryon pairs in proton-proton collisions. We discuss the theoretical aspects of this approach and consider the phenomenological implications in a variety of processes at high energies, comparing to existing experimental data. We consider the diffractive dipion and dikaon production including the continuum and the dominant scalar and tensor resonance contributions as well as the photoproduction processes. The theoretical results are compared with existing CDF experimental data and predictions for planned or current LHC experiments, ALICE, ATLAS, CMS, LHCb are presented.


The scattering wavefunctions of the H – ion are expanded in a basis of two-centre wavefunctions with radial components. Two expansions are considered characterized by the charge ratio q being either – 1 or + 1. These expansions may be regarded as an extension of the polarized-orbital method. The q = + 1 expansion has some novel features. The radial components are determined as the solutions of a set of coupled radial differential equations. Imposition of exchange antisymmetry transforms these equations into integro-differential equations for the q = - 1 expansion, but for the q = + 1 expansion the equations remain simply differential. The cross-sections are determined by partial wave analysis, utilizing the Mathieu function form of the radial wavefunctions at moderately large values of R. Numerical work is reported based upon truncation of the q = + 1 expansion after two terms. Phase shifts derived from static and adiabatic q = + 1 potentials for the l = 0 - 7 partial waves are presented for 59 values of the energy between 0 and 13.6eV. The corresponding differential and total cross-sections are compared with experimental, and other theoretical results.


2015 ◽  
Vol 30 (08) ◽  
pp. 1542006 ◽  
Author(s):  
Claude Bourrely ◽  
Jacques Soffer ◽  
Tai Tsun Wu

In 1970, on purely theoretical grounds, all total hadronic total cross-sections were predicted to increase without limit for higher and higher energies. This was contrary to the conventional belief at that time. In 1978, an accurate phenomenological model was formulated for the case of proton–proton and antiproton-proton interactions. The parameters for this model were slightly improved in 1984 using the additional available experimental data. Since then, for 30 years these parameters have not changed. This development, including especially the difficult task of formulating this phenomenological model and the comparison of the predictions of this model with later experimental results, is summarized.


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