Simulation of Anti-Nucleus – Nucleus Elastic scattering

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Simulation of Anti-Nucleus – Nucleus Elastic scattering

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Simulation of Anti-Nucleus – Nucleus Elastic scattering

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Simulation of Anti-Nucleus –Nucleus Elastic scattering

A. Galoyan and V. Uzhinsky, 27 April 2011

●Glauber theory for anti-nucleus - nucleus interactions

● Glauber amplitudesand black disk model with diffuse boundary approximation

● Effective parameters of the black disk model with diffuse boundary

● New G4 Class “G4AntiNuclElastic” - for simulation of Anti-Nucleus – Nucleus Elastic scattering

● Calculation results, possible improvements

1

Glauber theory for anti-nucleus - nucleus interactions

Amplitude of hadron-nucleus elastic scattering in Glauber theory

Amplitude of nucleus-nucleus elastic scattering in Glauber theory

Differential elastic scattering cross section

Accordingto Black Diskmodel with Diffuse boundary 2-dimensional

Fourier transform of P(b) must be:

(1)

*

2

Glauber amplitudes and black disk model approximation

Pbar+Pb elastic scattering Glauber amplitudes at P=0.1 and 1000GeV/c

(blue lines)and J1(Rq)/(Rq)(black lines)

First zero of F(q) can be used for determination of R, R=3.832/q_zero

3

Effective parametersof black disk model

(slide2)

4

Class:

GEANT4

G4VHadronElastic

Base class

G4AntiNuclElastic

New class

G4double SampleInvariantT (

const G4ParticleDefinition* p,

G4double plab, G4int Z, G4int A);

Derived methods

Sampling of polar angle Theta

G4double SampleThetaCMS( particle, plab, Z, A);

Methods:

G4double SampleThetaLab( p, plab, Z, A);

and other methods

cs, fTeta1, fTetaCMS, fThetaLab, fRa, fRef et al.

Data of class:

5

G4AntiNuclElastic::

SampleInvariantT (p, plab, Z, A);

Coulomb – Wentzel scattering ( V.M. Grishine/ CPC 181 (2010) 921 )

Hadronic part

─ Magorant function

6

Differential Cross sections of Elastic Pbar Nucleus interactions

7

Differential Cross sections of Elastic Pbar Nucleus interactions

8

Differential Cross sections of Elastic Pbar/Dbar + Pb interactions

9

Differential Cross section of Dbar with C-12 and Ca-40 nuclei

10

Conclusion

1. Glauber theory and Black Diskmodel with diffuse boundary were used

for calculations of anti-nucleon and anti-nucleus nucleus elastic

scatterings.

2. Effective parameters “R” and “c” of Black Disk model depend on energy of projectile and nucleus mass number. These dependences were parameterised by us.

3. G4 Class G4AntiNuclElasticfor simulation of anti-nucleon and anti-

nucleus nucleus elastic scattering has been created. The class is

based on Black Disk Model with Diffuse Boundary and Coulomb-

Wentzel model.

Differential cross sections of elastic scattering of antiprotons with

nuclei were calculated using the class G4AntiNuclElastic.

Good description of known exp. data were obtained.

Differential cross sections of elastic scattering of anti-deutrons with

nuclei were calculated.

11

Possible improvements

More accurate parameterization on NNbar elastic scattering amplitude in order to satisfy the unitarity requirement.

2. Taking into account the real part of NNbar amplitude.

3. More accurate treating of the Coulomb scattering in the Glauber

approach.

Accounting anti-hyperons and anti-hyper-nuclei elastic interactions with nuclei.

Fine tuning of parameters for anti-nuclei interactions with light nuclei.

12