Constraining the density dependence of the symmetry energy in finite

nuclei and nuclear matter

Wei-Zhou JIANGDepartment of Physics, Southeas

t UniversityNanjing, China

Collaborators： Bao-An Li， Lie-Wen Chen， Yao-Lin Zhao, Zhi-Yuan Zhu， Zhong-Zhou Ren et.al.

1. Enhancement of the sensitivity of observables to the DDSE

2. Deexcitation energy as a good probe to DDSE

3. Constraints from model chirality

4. A new source in modifying the DDSE——CSB

5. Summary

NN tensor coupling

• Increase the density

by adding Λ

1. Enhancement of the sensitivity of observables to the DDSE

NN tensor coupling

with

And strange meson included

Phys. Lett. B617(05)33

Increase the density(1) Multi- Λ hypernuclei

Metastable exotic multihypernuclear objects (MEMOs)

J.Schaffner, et.al. PRL71(1993)1328; Ann. Phys. (N.Y.) 235 (1994) 35

Multi-Λhypernuclei based on 102Ca

EB/A of 102Ca+Λ’s

fY=ρY/ρB

(2) Matter with hyperonization

Glendenning, Phys.Rept.342(2001)393; Astrophys. J. 293 (1985) 47

Jiang, Nucl-th/0609024, PLB 642(06)28

2. Deexcitation energy as a good probe to DDSE

Difficult neutron radius measurement for Pb208 at JLab

A~190

Ground state: Oblate

Superdeformed Secondary minimum(SSM): Prolate

Collective excitations: isovector changes

Deexcitation energy

• Difference of binding energies between the g.s. & SSM

• Determined by the difference of potentials

• Influenced by the isovector potential and the DDSE

FSUGold

Odd-odd Au isotopes

Almost independent of pairing interactions

Properties of nucleons and mesons in medium should be constrained by the chiral symmetry and its breaking.Symmetry energy is dominated by the isovector mesons.A good candidate is the Walecka model with Brown-Rho scaling: Simple but with chiral limit

3. Constraining with the model chirality)(Esym

P.Danielewicz, R.Lacey,W.G.Lynch, Science 298(2002)1592

Collective flow data from high energy heavy-ion reactions

Pressure of well constructed models

The DDSE

Constrained by isospin diffusion data

Jiang, Li, Chen, Phys. Lett. B653(07)184

4. A new source in modifying the DDSE——CSB

Lowest Order:

npe matter at beta equilibrium

All orders in RPA

Symmetry energy

Summary

• We proposed a few theoretically sensitive probes to the DDSE.

• Deexcitation energy of SSM is a good probe to the DDSE.

• Some constraints from chirality were studied.

• CSB & the DDSE, the symmetry energy is largely softened at high densities.

Thank Thank you!you!

By single-particle property!