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The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马马马 Email: [email protected] Outlook: 1. Backgrounds 2. The SAA Model 3. Results and Discussion 4. Conclusions 马马马 , 马马马 马马马马马马马马马马

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Page 1: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

Fragments cross section distributions of even 36-52Ca at intermediate energy

马春旺 Email: [email protected]

Outlook:

1. Backgrounds 2. The SAA Model 3. Results and Discussion 4. Conclusions

张艳芳 , 魏慧玲河南师范大学物理学系

Page 2: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

1. Backgrounds Projectile fragmentation is one of the basic

experimental method in RIB era.NSCL experiment: 40,48Ca+9Be/181Ta, 58,64Ni+9Be/181Ta, 86Kr+9Be

New generation or updated RIB facilities expand the nuclear chart to more neutron-rich and proton-rich sides.

Increasing interests in EOS of asymmetric nuclear matter: n-rich nuclei

Hotter in the research of ISOSPIN physics. Neutron density distribution of neutron-rich

nucleus hard to be extracted or measured. Neutron skin thickness important in nuclear phys.

etc.

Page 3: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

1. backgrounds– neutron skin thickness and EOS

Page 4: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

1. Backgrounds Neutron density distribution or neutron skin

thickness of asymmetric nuclear matter: not easy to know but important in nuclear physics.

Isospin phenomena are strongly related to the different proton and neutron density distribution of asymmetric nucleus.

Can the isospin phenomena be used to extract neutron density distribution of neutron skin thickness directly? The observable!

D.Q.Fang, et al., PhysRevC61(2000)044610;Ma Chun-Wang, et al., Chin.Phys.B,17(2008)1216;Ma Chun-Wang, et al., Phys.Rev.C79(2009)034606,Chin. Phys. B18(11)(2009), to be published

Page 5: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

Chin. Phys. B 17(04)(2008)1674

Page 6: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

1. Backgrounds Isospin dependence of PF

140A MeV 40,48Ca/ 58,64Ni+9Be

Ma Chun-Wang, et al., Chin. Phys. B18(11)(2009), to be published

Isospin effect in fragments production and it’s decreaseObvious in the productions of peripheral reactions. (big difference of proton and neutron density distribution in the surface of nucleus)Decrease and disappear in the productions of central collisions. (similar proton and neutron density distributions in the core of nucleus)

Page 7: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

1. Backgrounds How do the peak position of the

fragments distributions change in the PF of a series of isotopes?

If there are some parameters or observables that are related to neutron skin thickness? Find the correlation between neutron skin thickness and some observables.

Page 8: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

2. The statistical abrasion-ablation (SAA) model

Brohm & Schmidt, Fang, Zhong, etc, Simple and useful; 2-steps reactions:

Collisions—participant and spectator

De-excitation

Refs:NPA569(1994)821, PRC61(2000)044610, CPC 27(2003)39, EPJA10(2001)381,PRC79(2009)034606

Page 9: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

2. The statistical abrasion-ablation (SAA) modelThe colliding nuclei: parallel tubes.

transmission probabilities for neutrons (protons) at b:

the average absorbed mass in an infinitesimal tubes at b Density distributions: Fermi-type

Isotope production

De-excitation

Y.Eisenberg, PhysRev 52(1954)1378

Key for frag production

Page 10: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

3. Results

Page 11: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

3. PF of even even 36-5236-52CaCa isotopes

Page 12: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

4. Results and discussion

Isotonic distributionsIsotopic distribution

Page 13: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

Peak position (in A) as a function of ΔN, ΔZ

Page 14: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

4. Results and discussion

Page 15: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

4. Results and discussion

Peak vs A fit results

Page 16: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

4. Results and discussion

Page 17: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

4. Results and discussion

σ(iCa)- σ(40Ca)

Page 18: The 13th National Nuclear Structure Conference of China, Chifeng Fragments cross section distributions of even 36-52 Ca at intermediate energy 马春旺 Email:

The 13th National Nuclear Structure Conference of China, Chifeng

5. Conclusion The cross sections of fragments prod

uced in 80 A MeV even 36-52Ca PF on 12

C were calculated by the SAA model.