Medium effect up to twice the normal density on nucleus-nucleus - - PowerPoint PPT Presentation

Medium effect up to twice the normal density

• n nucleus-nucleus elastic scattering

Takenori Furumoto (Yokohama National University)

Neutron Star ar Mat atter 2016 ( (NSMAT2016) (21 – 24th Nov. v., 2 2016 a at Tohoku Univ. v.)

Collaborators

• Y. Sakuragi (Osaka City Univ.)
• Y. Yamamoto (RIKEN Nishina Center)

Contents

• 1. Purpose
• 2. Three-body force (TBF) effect

for the heavy-ion elastic scattering

• Complex G-matrix folding model
• 3. Medium effect in high density region

for the heavy-ion elastic scattering

• Introduction of the investigation methods
• Interaction dependence
• Incident energy and target mass dependences
• 4. Summary

• Toward nuclear matter from the experimental data

Purpose

Nuclear structure

Neutron star  2 4 3

Few-body Heavy-ion reaction?

R r1 r2 vNN(s)

Projectile(1) Target(2)

) ( ) ( d d exp ) , ; ( ) , ( ) , ( d d ) , ; ( ) ( ) ( ) (

2 1 2 2 2 1 1 1 2 1 2 2 1 1

R R r r s K s s r r s r r r r s r r R

DFM DFM EX D

iW V M i E v E v U             

 

     

Frozen-density approx. (FDA)

2 1

    

 2

Frozen Density Approximation (FDA)

16O + 16O elastic scattering cross section

at E/A = 70 MeV

ESC MPa MPb MPc

• Y. Yamamoto, T. Furumoto, N. Yasutake, and Th. A. Rijken,
• Phys. Rev. C90, 045805 (2014)

Important effect of three-body force

• 1. Where is the visible region for the cross section?

Introduction of the investigation methods

• Y. Yamamoto, T. Furumoto, N. Yasutake and Th. A. Rijken,
• Phys. Rev. C90, 045805 (2014)

ESC MPa MPb MPc normal density

?

) ( ) ( d d exp ) , ; ( ) , ( ) , ( d d ) , ; ( ) ( ) ( ) (

2 1 2 2 2 1 1 1 2 1 2 2 1 1

R R r r s K s s r r s r r r r s r r R

DFM DFM EX D

iW V M i E v E v U             

 

     

Method 1

R r1 r2 vNN(s)

Projectile(1) Target(2) Cutting method          ) ( ) (

cut 2 1 cut cut 2 1 2 1

         

 2

cut



16O + 16O elastic scattering cross section

at E/A = 70 MeV

• T. Furumoto, Y. Sakuragi and Y. Yamamoto,
• Phys. Rev. C90, 041601(R) (2014)

) ( ) ( d d exp ) , ; ( ) , ( ) , ( d d ) , ; ( ) ( ) ( ) (

2 1 2 2 2 1 1 1 2 1 2 2 1 1

R R r r s K s s r r s r r r r s r r R

DFM DFM EX D

iW V M i E v E v U             

 

     

R r1 r2 vNN(s)

Projectile(1) Target(2) Replacement method             ) ( ESC ) ( MPa

rep. 2 1 rep. 2 1

        v

 2

rep.



Method 2

16O + 16O elastic scattering cross section

at E/A = 70 MeV

• T. Furumoto, Y. Sakuragi and Y. Yamamoto,
• Phys. Rev. C90, 041601(R) (2014)

→We can see the medium effect up to kF = 1.6-1.7 fm-1 from the experimental data

Interaction dependence

• 2. If the interaction is changed, can we give the same

conclusion? MPa MPb MPc

MP model

CEG07 CDM3Y6 Others

• ut of the range of application

with phenomenological TBF with phenomenological density dependence

16O + 16O elastic scattering cross section at E/A = 70 MeV

• T. Furumoto, Y. Sakuragi and Y. Yamamoto,
• Phys. Rev. C94, 044620 (2016)

16O + 16O elastic scattering cross section at E/A = 70 MeV

• T. Furumoto, Y. Sakuragi and Y. Yamamoto,
• Phys. Rev. C94, 044620 (2016)

Incident energy and target mass dependences

• 3. What system is the most suitable to investigate the

medium effect in the high density region? Potential Elastic cross section

The medium effect is clearly seen with all interactions It is difficult to see the medium effect up to twice normal density

W iN V U

W

 

Heavy-ion elastic scattering cross sections

• T. Furumoto, Y. Sakuragi and Y. Yamamoto, Phys. Rev. C94, 044620 (2016)

Application to the high-energy region

• T. Furumoto, Y. Sakuragi and Y. Yamamoto,
• Phys. Rev. C94, 044620 (2016)

• Multi-pomeron (MP) potential (TBF effect)
• successful for nucleus-nucleus elastic scattering
• Medium effect including TBF effect in high density region
• needs up to kF = 1.6-1.7 fm-1 for heavy-ion elastic scattering
• Interaction dependence (MPa/b/c, CEG07b & CDM3Y6)
• slightly different but the conclusion is not changed

(kF = 1.6-1.7 fm-1)

• Incident energy and target mass dependences
• The high energy (around 200 MeV) and large nucleus

not seems to be suitable to investigate the medium effect, however the effect again appears in E/A > 300 MeV.

Summary