On Nuclear Modification of Bound NucleonsG. Musulmanbekov JINR, Dubna, Russiae-mail:genis@jinr.ru:

On Nuclear Modification of Bound Nucleons G. Musulmanbekov JINR, Dubna, Russia e-mail:genis@jinr.ru Contents
Introduction
Strongly Correlated Quark Model
Quark Arrangement inside Nuclei
EMC – effect
Color Transparency
Conclusions

Introduction:

Introduction EMC – effect
F₂A(x)/F₂D(x)
Regions of the effect
* Shadowing
* Antishadowing
* EMC – effect
* Fermi motion

Introduction:

Introduction Color Transparency
Quasielastic scattering
p+A pp+X at θcm=900
Observable:
T = σA/(Z σN)

Introduction:

Introduction Color Transparency
Quasielastic scattering
e+A e`p+X
Observable:
T = σA/ σPWIA

Introduction:

Introduction Color Transparency
Exclusive electroproduction of ρ0 in µA scattering
Observable: T = σA/(Aσ0)
Fit for specified Q2 region: σA = σ0Aα
Then T = Aα-1

Introduction:

Introduction

What is Chiral Symmetry and its Breaking?:

What is Chiral Symmetry and its Breaking? Chiral Symmetry
SU(3)L × SU(3)R for ψL,R = u, d, s
The order parameter for symmetry breaking is quark or chiral condensate:
andlt;ψψandgt; ≃ - (250 MeV)³, ψ = u,d,s.
As a consequence massless valence quarks (u, d, s) acquie dynamical masses which we call constituent quarks
MC ≈ 350 – 400 MeV

Strongly Correlated Quark Model (SCQM) :

Strongly Correlated Quark Model (SCQM)

Interplay Between Current and Constituent Quarks Chiral Symmetry Breaking and Restoration Dynamical Constituent Mass Generation :

Interplay Between Current and Constituent Quarks Chiral Symmetry Breaking and Restoration Dynamical Constituent Mass Generation j r

The Strongly Correlated Quark Model:

The Strongly Correlated Quark Model Hamiltonian of the Quark – AntiQuark System , are the current masses of quarks,
= (x) – the velocity of the quark (antiquark),
is the quark–antiquark potential.

Slide11:

Conjecture:
where is the dynamical mass of the constituent quark and

Quark Potential:

Quark Potential I II U(x) andgt; I – constituent quarks
U(x) andlt; II – current(relativistic) quarks

Generalization to the 3 – quark system (baryons):

Generalization to the 3 – quark system (baryons) 3 RGB, _
3 CMY qqq _
( 3)Color qq

The Proton:

The Proton

SCQM Chiral Symmerty Breaking :

SCQM Chiral Symmerty Breaking Consituent Current Quarks Consituent Quarks Asymptotic Freedom Quarks t = 0
x = xmax t = T/4
x = 0 t = T/2
x = xmax During the valence quarks oscillations:

SCQM The Local Gauge Invariance Principle :

SCQM The Local Gauge Invariance Principle
Destructive Interference of color fields Phase rotation of the quark w.f. in color space:
Phase rotation in color space dressing (undressing) of the quark the gauge transformation here

Slide17:

Parameters of SCQM for Proton
2.Amplitude of VQs oscillations : xmax=0.64 fm,
3.Constituent quark sizes (parameters of gaussian distribution): x,y=0.24 fm, z =0.12 fm
Parameters 2 and 3 are derived from the calculations of Inelastic Overlap Function (IOF) and in and pp – collisions. 1.Mass of Consituent Quark

Constituent Quarks – Solitons :

Constituent Quarks – Solitons SCQM Breather Solution of Sine- Gordon equation Breather – oscillating soliton-antisoliton pair, the periodic solution of SG: The evolution of density profile of the soliton-antisoliton pair (breather)
is identical to that one of our quark-antiquark system.

Breather (soliton –antisoliton) solution of SG equation:

Breather (soliton –antisoliton) solution of SG equation Soliton – antisoliton potential Here M is the soliton mass

Quark Potential :

Quark Potential Uq x Uq = 0.36tanh2(m0x)

Structure Function of Valence Quark in Proton:

Structure Function of Valence Quark in Proton

Summary on Quarks in Hadrons:

Summary on Quarks in Hadrons
Quarks and gluons inside hadrons are strongly correlated;
Hadronic matter distribution inside hadrons is fluctuating quantity;
There are no strings stretching between quarks inside hadrons;
Strong interactions between quarks are nonlocal: they emerge as the vacuum response on violation of vacuum homogeneity by embedded quarks;
Maximal displacement of quarks in hadrons x 0.64f
Sizes of the constituent quark: x,y 0.24f, z 0.12f
Constituent quarks are identical to solitons.

Quark Arrangement inside Nuclei:

Quark Arrangement inside Nuclei Nuclear Models

Two Nucleon System in SCQM:

Two Nucleon System in SCQM Quark Potential Inside Nuclei

Deutron:

Deutron

Three Nucleon Systems in SCQM :

Three Nucleon Systems in SCQM 3H 3He

The closed shell n = 0, nucleus 4He :

The closed shell n = 0, nucleus 4He 3He + neutron or 3H + proton Connections
1 1
2 2
3 3

Binding Energy and Sizes of Nuclei:

Binding Energy and Sizes of Nuclei

Hidden Color in NucleiDeuteron|6q> = c1|SS> + c2|CC>:

Hidden Color in Nuclei Deuteron |6qandgt; = c1|SSandgt; + c2|CCandgt;

The closed shell n = 1, 16O :

The closed shell n = 1, 16O

The closed shell n = 1, 16O:

The closed shell n = 1, 16O

Face – Centered – Cubic Lattice Model (FCC) (N. Cook, 1987) :

Face – Centered – Cubic Lattice Model (FCC) (N. Cook, 1987)

Face – Centered – Cubic Lattice:

Face – Centered – Cubic Lattice n=(x + y +z – 3)/2 =
(r sinq cosf + r sinq sinf + r cosq - 3) / 2
j = l + s = (x + y – 1) / 2 =
(r sinq cosf + r sinq sinf - 1) / 2
m = x / 2 = (r sinq cosf) / 2

Conjecture: Current quark states in bound nucleons are suppressed:

Conjecture: Current quark states in bound nucleons are suppressed Bound Nucleon, N* suppressed Bound Nucleon, N*

Method: Monte–Carlo Simulation :

Method: Monte–Carlo Simulation 1. The Model of DIS: SCQM + VDM

Slide36:

Heisenberg inequality: 2. Calculation of cross sectons
Inelastic Overlap Function:

Slide37:

Parameters of SCQM
Free Nucleon
Amplitude of VQs oscillations:
xmax= 0.64 fm Bound (distorted) nucleon:
Reduced amplitude of VQs oscillations
Displacement of the origin of VQs oscillations to the nucleon perephery
Adjusted values:
xmin= 0.32 fm, xmax= 0.64 fm

Comparison with experiments:

Comparison with experiments 1. EMC – effect

Comparison with experiments:

Comparison with experiments Color Transparency 'Breaking'
in quasielastic scattering
p+A pp+X at θcm=900
Observable:
T = σA/(Z σN)

Conclusions:

Conclusions EMC effect could be explained by valence quark momentum distribution reaggangements.
Quasielastic proton – proton and lepton – proton scattering at high Q2 are not adequate reactions to observe Color Transparency
Favorable reaction for CT observation is the Vector meson production in lepton – nucleus scattering at Q2

You do not have the permission to view this presentation. In order to view it, please
contact the author of the presentation.

Send to Blogs and Networks

Processing ....

Premium member

Use HTTPs

HTTPS (Hypertext Transfer Protocol Secure) is a protocol used by Web servers to transfer and display Web content securely. Most web browsers block content or generate a “mixed content” warning when users access web pages via HTTPS that contain embedded content loaded via HTTP. To prevent users from facing this, Use HTTPS option.