1. INFN - Laboratori Nazionali del Sud
Effects of symmetry energy and momentum dependent interaction on low-energy reaction mechanisms
H. Zheng and M. Colonna
INFN - Laboratori Nazionali del Sud

2. Outline Introduction BNV model and results without MDI
Results from HF+RPA (Literature)
EoS with MDI
Our results
Conclusions and outlook

3. Equation of State (EoS) is important
A.W. Steiner et al., Phys. Rep. 411, 325 (2005)

4. Experiments and theory
Excited nucleus
collective modes
QM: HF+RPA
X. Roca-Maza et al., PRC 85, (2012)
Methods
Transport model: BNV
(TWINGO, Grid)
V. Baran et al., PRC 88, (2013)
L.G. Cao et al., arXiv: v1
See Prof. V. Baran’s talk
on Tuesday

5. The strength function
M. Urban, PRC 85, (2012)

6. Semiclassical approach (BNV)
We use test particle method to solve the equations.
V. Baran et al., PRC 88, (2013)

7. Semiclassical approach (BNV)
Using the BNV model to study the resonances:
EoS
Produce the gs, perturb the gs and follow the dynamical evolution
Extract the energy spectrum

8. Effective EoS without MDI

9. Results without MDI Pb208 Sn140 Sn isotopes green soft red stiff
blue super stiff
Pb208
Sn140
Sn isotopes
M. Urban, PRC 85, (2012)
V. Baran et al., PRC 88, (2013)

10. IVGDR and ISGDR in Ni68, Sn132 and Pb208 (HF+RPA)
X. Roca-Maza et al., PRC 85, (2012)
V. Baran et al., PRC 88, (2013)

11. Momentum dependent interaction (EoS)
Ad.R. Raduta et al., EPJA 50, 24 (2014)

12. depend on the EoS and MDI.
Ni68, Results Comparison
without MDI
with MDI
The PDR and IVGDR
depend on the EoS and MDI.
X. Roca-Maza et al., PRC 85, (2012)

13. Sn132, Results Comparison without MDI with MDI
X. Roca-Maza et al., PRC 85, (2012)

14. Pb208, Results Comparison with MDI without MDI Sami28
X. Roca-Maza et al., PRC 85, (2012)
X. Roca-Maza et al., PRC 86, (2012)

15. Conclusions and outlook
The MF transport model (TWINGO) with MDI can produce similar IVGDR results with HF+RPA, this could indicate that the shell effects are not important in IVGDR
IVGDR depends on the EoS. The stiffer the EoS, the lower IVGDR energy. It doesn’t matter with the EoS with/without MDI.
MDI shifts the IVGDR energy to a higher value
Outlook:
We will look at ISGDR (in progress)
We will also look at the transition density (in progress)
Is PDR an isoscalar-like collective motion? Comparing with HF+RPA transition density