Misak SargsianFlorida International University, Miami

Nuclear Forces at Short Distancesand the Dynamics of Neutron Stars

JLab Users Group Meeting June 6-8 2011, Newport News, VA

Progam of Small Distances in Nuclei - Deuteron at large internal

momenta - the relativistic bound state - interaction with deeply bound nucleons - non nucleon degrees of freedom - hadron-quark transition- Nuclei at Large Internal Momenta

and Excitation Energies - identifying NN Short Range Correlations - dynamics of such correlations - beyond NN correlations - hadron-quark transition- Astrophysical Applications - equation of state of dense nuclear matter - electro-weak processes in neutron stars - existence of cold quark matter

(i) Measuring the High Momentum Component of the Deuteron wave function(ii) Studies of two-nucleon short range correlations(iii) Implications: Protons in the superdense nuclear matter:

How to probe small distances in nuclei

High Density Fluctuations

for Deuteron

1. Probe nucleon with large virtual ity

2. Probe large relat ive momenta

How to probe high density fluctuations in nuclei

Probe large initial momenta of nucleon in the nucleus and large excitation energy of residual A-1 nucleus

for A > 2

If at large k, Frankfurt MSStrikman IJMP 08

(1) To Probe large initial nucleon momenta and nuclear excitation energies

Transferred energy to nuclei

Transferred momentum to nuclei

Frankfurt , MS Strikman IJMP 2008

(2) Probing Small Distances/High Density Fluctuations in Nuclei

Probing NN system in the nucleus at high missing momenta and energies

Expectation: Signatures of nuclear structure at small distances will be those of the NN system at small separations

Nuclear momentum Distr ibutions

Reflecting the dynamics of the NN interact ion at short distances

Isospin 1 states

Isospin 0 states

Strong disparity between pp and pn pairs in the region of tensor correlation

Method High Energy and Momentum Transfer Nuclear Reactions

I. Momenta involved in the reactions q ≈ p

f > few

GeV/c.

A new small parameters

(a) What we want to study:

(b) Framework

Interaction with deeply bound nucleon, relativistic effects, etc(virtual nucleon, Light Cone approximation…)

Generalized Eikonal Approximation

(c) Suppress

(d) Framework Generalized Eikonal Approximation

Generalized Eikonal Approximation

MS, Int. J.Mod.Phys, 2001

MS, Int. J.Mod.Phys, 2001

Frankfurt, Strikman, MSPhys. Re. C 1997

Ciofi degli Atti, Kaptari, 2001

Ciofi degli Atti, Kaptari, 2007

MS, Abrahamyan, Frankfurt,Strikman Phys. Rev.C 2005

MS, Phys. Rev. C 2010

Effective Feynman Diagram Rules

knock-out

GEA

L.Frankfurt, M.StrikmanPRC 1997, M.S. IJMP01

(i) Measuring the High Momentum Component of the Deuteron wave function

GAGEA

Structure of Final State interaction:

L.Frankfurt, M.S. M.Strikman PRC 1997

et al, PRL07

Werner BoeglinLuminita Coman, PhD 2007

Measuring Deuteron Momentum Distribution at Large Internal Momenta

Q2 = 0.33 GeV2 Q2 = 0.667GeV2

Blomqvist et al1998 Ulmer et al 2002

JLab HALL A experiment : Boeglin et al ArXiv : 1106:0275, 1 June 2011

II. Two Nucleon Short Range Correlations in Nuclei

First SRC Studies in Nuclei at JLab weredone in inclusive A(e,e’)X reactions at

x > 1

For finite Q2

- Light cone momentum fraction of nucleus carried by interacting nucleon normalized to A

if only 2 nucleons then

if only 3 nucleons then

at least 2 nucleons are needed

at least 3 nucleons are needed

at least j+1 nucleons are neede

if only j+1 nucleons then

scales

scales

scales

signatures for short range correlations

Prediction for Scaling

Frankfurt & Strikman PR 88

First such analysis was done using different SLAC data sets

Day, Frankfurt ,MS, Strikman PRC 93

More refined experiment at JLAB measured

Egiyan, et al PRC 2004

Egiyan, et al PRL 2006

Meaning of the scaling values

introduce

where

In the situation when scaling is established

Probability of finding 2N or 3N SRCs relative to deuteron and helium 3

Fraction of High momentum component of nuclear wave function due to

2N SRC

3N SRC

Egiyan, et al PRL 2006

How to probe high density fluctuations in nuclei

Probe large initial momenta of nucleon in the nucleus and large excitation energy of residual A-1 nucleus

for A > 2

If at large k, Frankfurt MSStrikman IJMP 08

Are they really Correlations?

proton

neutron

proton

proton Brookhaven National Lab A(p,ppn)X Experiment

A. Tang et al, PRL 2003

Eli Pasetzky TAU

92% of the time two-nucleon high density fluctuations

are proton and neutron

at most 4% of the time proton-proton or neutron-neutron

Piasetzky, MS, Frankfurt,Strikman, Watson PRL 2007

Isospin 1 states

Isospin 0 states

proton

neutron/proton

electron

electronJeferson Lab Experiment

R. Shneor et al. PRL 07

92% of the time two-nucleon high density fluctuations are proton and neutron

at most 4% of the time proton-proton or neutron-neutron

Piasetzky, MS, Frankfurt,Strikman, Watson PRL 2007

BNL data on A(p,2pn)X

JLAB data A(e,e’pn)X

R. Shneor et al. PRL 07

Combined AnalysisR.Subdei, et al Science , 2008

pn

pp

nn

Combined AnalysisR.Subdei, et al Science , 2008

Press releases on SRC:protonSRCfinal.pdfEVA-SRC-discoverbnl.pdfProtons Pair Up with Neutrons (from BNL News, pdf)Science Magazine: Probing Cold Dense Nuclear Matter (pdf)Nature Physics (Research Highlights: Unequal pairs (pdf))Protons Pair Up With Neutrons, EurekAlert, May 29, 2008Jefferson Lab in the News: Nuclear PairsBrookhaven National News: Protons Pair Up with NeutronsPress release from Kent State UniversityScienceDaily (Penn State University)ScienceDaily (Penn State University)ScientistLive (Penn State University)On TargetPhysics TodayPHYSORG.comNFC (in hebrew)Tel Aviv University Press (in hebrew)CERN Courier article: "Protons and neutrons certainly prefe each oether'scompany"

R&D magazineThe A to Z of Nanotechnologyanalitica-worldMatter NewsSoftpediaNews @ Old Dominion

from http://tauphy.tau.ac.il/eip

(July, 2008)

(July, 2008)

Some Conclusions

- SRCs are directly probed in nuclei with relative momenta 250- 600 MeV/c

- There is a strong suppression (factor of 20) of pp and nn SRCs as compared to pn SRCs

- this disparity is related to the dominance of the strong tensor force at intermediate to short distances

- SRC’s are really correlations

- We learned how to deal with Final State Interaction

Egiyan, et al PRL 2006

(III) Implication for Superdense Nuclear Matter

Consequence of the suppression of nn and pp SRCs

Our Goal

Assumption: Neglecting the contributions of nn and pp in the SRC

Prediction is:

Realistic 3He Wave Function

p

n

M. McGauley, MS Feb. 2011arxiv 1102.3973

(1)

(2)

where

we analyze data for symmetric nuclei For

and for other A’s use the relation

(3) Neglecting contributions due to pp and nn SRCs one obtains boundary conditions

, ,

World Data on Inclusive A(e,e’)X and d(e,e’)X Data

for

we found data for Donal DayInclusive Data Compilation

Remaining

where

using

and

Remaining

where

using

and

and the ansatz

estimate f(y) for

Using fit of

Al 27 y = 0.037Fe56 y = 0.0714Au197 y = 0.198He y = 0.333

Fitting f(y)

- 4 data points

- 2 boundary conditions due to the neglection of pp/nn SRCs

-2 more boundary conditions due to

-1 more, positiveness of f(y)

Checking for 3He

Extrapolation to infinite and superdense nuclear matter

with

C.Ciofi degli Atti, E. Pace, G.Salme, PRC 1991

Asymmetric and superdense nuclear matter:

Some Implication of our Results

Cooling of Neutron Star:

Superfluidity of Protons in the Neutron Stars:

Protons in the Neutron Star Cores:

Isospin Locking and Large Masses of Neutron Stars