# Light element ($$Z=1,2$$) production from spontaneous ternary fission of $$$$^{252}$$$$Cf

## Abstract

Abstract The yields of light elements ( $$Z=1,2$$ $Z=1,2$ ) obtained from spontaneous ternary fission of $$$$^{252}$$$$ ${}^{252}$ Cf are treated within a nonequilibrium approach, and the contribution of unstable nuclei and excited bound states is taken into account. These light cluster yields may be used to probe dense matter, and to infer in-medium corrections such as Pauli blocking which is determined by the nucleon density. Continuum correlations are calculated from scattering phase shifts using the Beth-Uhlenbeck formula, and the effect of medium modification is estimated. The relevant distribution is reconstructed from the measured yields of isotopes. This describes the state of the nucleon system at scission and cluster formation, using only three Lagrange parameters which are the nonequilibrium counterparts of the temperature and chemical potentials, as defined in thermodynamic equilibrium. We concluded that a simple nuclear statistical equilibrium model neglecting continuum correlations and medium effects is not able to describe the measured distribution of H and He isotopes. Moreover, the freeze-out concept may serve as an important ingredient to the nonequilibrium approach using the relevant statistical operator concept.

- Authors:

- Publication Date:

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1665929

- Grant/Contract Number:
- FG03-93ER40773

- Resource Type:
- Published Article

- Journal Name:
- European Physical Journal. A

- Additional Journal Information:
- Journal Name: European Physical Journal. A Journal Volume: 56 Journal Issue: 9; Journal ID: ISSN 1434-6001

- Publisher:
- Springer Science + Business Media

- Country of Publication:
- Germany

- Language:
- English

## Citation Formats

```
Röpke, G., Natowitz, J. B., and Pais, H. Light element ($$Z=1,2$$) production from spontaneous ternary fission of $$^{252}$$Cf. Germany: N. p., 2020.
Web. doi:10.1140/epja/s10050-020-00247-0.
```

```
Röpke, G., Natowitz, J. B., & Pais, H. Light element ($$Z=1,2$$) production from spontaneous ternary fission of $$^{252}$$Cf. Germany. https://doi.org/10.1140/epja/s10050-020-00247-0
```

```
Röpke, G., Natowitz, J. B., and Pais, H. Fri .
"Light element ($$Z=1,2$$) production from spontaneous ternary fission of $$^{252}$$Cf". Germany. https://doi.org/10.1140/epja/s10050-020-00247-0.
```

```
@article{osti_1665929,
```

title = {Light element ($$Z=1,2$$) production from spontaneous ternary fission of $$^{252}$$Cf},

author = {Röpke, G. and Natowitz, J. B. and Pais, H.},

abstractNote = {Abstract The yields of light elements ( $$Z=1,2$$ Z = 1 , 2 ) obtained from spontaneous ternary fission of $$^{252}$$ 252 Cf are treated within a nonequilibrium approach, and the contribution of unstable nuclei and excited bound states is taken into account. These light cluster yields may be used to probe dense matter, and to infer in-medium corrections such as Pauli blocking which is determined by the nucleon density. Continuum correlations are calculated from scattering phase shifts using the Beth-Uhlenbeck formula, and the effect of medium modification is estimated. The relevant distribution is reconstructed from the measured yields of isotopes. This describes the state of the nucleon system at scission and cluster formation, using only three Lagrange parameters which are the nonequilibrium counterparts of the temperature and chemical potentials, as defined in thermodynamic equilibrium. We concluded that a simple nuclear statistical equilibrium model neglecting continuum correlations and medium effects is not able to describe the measured distribution of H and He isotopes. Moreover, the freeze-out concept may serve as an important ingredient to the nonequilibrium approach using the relevant statistical operator concept.},

doi = {10.1140/epja/s10050-020-00247-0},

journal = {European Physical Journal. A},

number = 9,

volume = 56,

place = {Germany},

year = {2020},

month = {9}

}

https://doi.org/10.1140/epja/s10050-020-00247-0

Works referenced in this record:

##
Scission neutrons in the general systematics of the yields of light particles from ternary nuclear fission

journal, July 2004

- Val’sky, G. V.
- Physics of Atomic Nuclei, Vol. 67, Issue 7

##
Energy distribution of ternary $\alpha $ particles in spontaneous fission of ${}^{252}\mathrm{Cf}$

journal, December 2008

- Mutterer, M.; Kopatch, Yu. N.; Yamaledtinov, S. R.
- Physical Review C, Vol. 78, Issue 6

##
$\alpha $ decay to a doubly magic core in the quartetting wave function approach

journal, February 2020

- Yang, Shuo; Xu, Chang; Röpke, Gerd
- Physical Review C, Vol. 101, Issue 2

##
Light-charged-particle emission in the spontaneous fission of ${}_{}{}^{250}{}_{}{}^{}\mathrm{Cf}$ , ${}_{}{}^{256}{}_{}{}^{}\mathrm{Fm}$ , and ${}_{}{}^{257}{}_{}{}^{}\mathrm{Fm}$

journal, August 1985

- Wild, J. F.; Baisden, P. A.; Dougan, R. J.
- Physical Review C, Vol. 32, Issue 2

##
Fission dynamics of ${}^{240}\mathrm{Pu}$ from saddle to scission and beyond

journal, September 2019

- Bulgac, Aurel; Jin, Shi; Roche, Kenneth J.
- Physical Review C, Vol. 100, Issue 3

##
Light Charged Particles from Spontaneous Fission of ${\mathrm{Cf}}^{252}$

journal, February 1967

- Whetstone, S. L.; Thomas, T. D.
- Physical Review, Vol. 154, Issue 4

##
Tetraneutron condensation in neutron rich matter

journal, October 2019

- Ivanytskyi, O.; Ángeles Pérez-García, M.; Albertus, C.
- The European Physical Journal A, Vol. 55, Issue 10

##
Temperature and free-nucleon densities of nuclear matter exploding into light clusters in heavy-ion collisions

journal, September 1985

- Albergo, S.; Costa, S.; Costanzo, E.
- Il Nuovo Cimento A, Vol. 89, Issue 1

##
Decay widths at the scission point in nuclear fission

journal, October 2019

- Bertsch, G. F.; Robledo, L. M.
- Physical Review C, Vol. 100, Issue 4

##
Nuclear clusters bound to doubly magic nuclei: The case of ${}^{212}\mathrm{Po}$

journal, September 2014

- Röpke, G.; Schuck, P.; Funaki, Y.
- Physical Review C, Vol. 90, Issue 3

##
Nucleation and cluster formation in low-density nucleonic matter: A mechanism for ternary fission

journal, July 2014

- Wuenschel, S.; Zheng, H.; Hagel, K.
- Physical Review C, Vol. 90, Issue 1

##
Experimental determination of the yield of “scission” neutrons from the spontaneous fission of 252Cf

journal, October 2017

- Vorobyev, A. S.; Shcherbakov, O. A.; Gagarski, A. M.
- Journal of Experimental and Theoretical Physics, Vol. 125, Issue 4

##
Time-dependent decay rate and angular distribution of the scission neutrons by a dynamical approach

journal, November 2019

- Carjan, N.; Rizea, M.
- International Journal of Modern Physics E, Vol. 28, Issue 11

##
Light $p$ -shell nuclei with cluster structures ( $4\le A\le 16$ ) in nuclear matter

journal, June 2020

- Röpke, Gerd
- Physical Review C, Vol. 101, Issue 6

##
True ternary fission of superheavy nuclei

journal, April 2010

- Zagrebaev, V. I.; Karpov, A. V.; Greiner, Walter
- Physical Review C, Vol. 81, Issue 4

##
Angular correlations in the prompt neutron emission of spontaneous fission of 252Cf

journal, June 2018

- Chietera, A.; Stuttgé, L.; Gönnenwein, F.
- The European Physical Journal A, Vol. 54, Issue 6

##
Systematics of nucleon density distributions and neutron skin of nuclei

journal, November 2015

- Seif, W. M.; Mansour, Hesham
- International Journal of Modern Physics E, Vol. 24, Issue 11

##
Collinear cluster tri-partition: Kinematics constraints and stability of collinearity

journal, January 2017

- Holmvall, P.; Köster, U.; Heinz, A.
- Physical Review C, Vol. 95, Issue 1

##
New experimental studies on the quaternary fission of 233, 235U(nth, f ) and 252Cf (sf )

journal, June 2005

- Jesinger, P.; Kopatch, Yu. N.; Mutterer, M.
- The European Physical Journal A, Vol. 24, Issue 3

##
Role of deformed shell effects on the mass asymmetry in nuclear fission of mercury isotopes

journal, December 2012

- Panebianco, Stefano; Sida, Jean-Luc; Goutte, Héloise
- Physical Review C, Vol. 86, Issue 6

##
${}^{5}\mathrm{He},$ ${}^{7}\mathrm{He},$ and ${}^{8}\mathrm{Li}$ ${(E}^{*}=2.26\mathrm{}\hspace{0.5em}\mathrm{MeV})$ intermediate ternary particles in the spontaneous fission of ${}^{252}\mathrm{Cf}$

journal, April 2002

- Kopatch, Yu. N.; Mutterer, M.; Schwalm, D.
- Physical Review C, Vol. 65, Issue 4

##
Fully microscopic scission-point model to predict fission fragment observables

journal, March 2019

- Lemaître, J. -F.; Goriely, S.; Hilaire, S.
- Physical Review C, Vol. 99, Issue 3

##
The quantum theory of the non-ideal gas. II. Behaviour at low temperatures

journal, October 1937

- Beth, Erich; Uhlenbeck, George E.
- Physica, Vol. 4, Issue 10

##
Light Nuclei Emitted in the Fission of ${}_{}{}^{252}{}_{}{}^{}\mathrm{Cf}$

journal, August 1968

- Raisbeck, G. M.; Thomas, T. D.
- Physical Review, Vol. 172, Issue 4

##
Neutron anisotropic evaporation and scission emission in fission

journal, January 2018

- Stuttgé, L.; Chietera, A.; Gönnenwein, F.
- EPJ Web of Conferences, Vol. 193

##
Ternary fission yields of 241Pu(nth,f)

journal, June 1999

- Köster, U.; Faust, H.; Fioni, G.
- Nuclear Physics A, Vol. 652, Issue 4

##
Cluster formation and the virial equation of state of low-density nuclear matter

journal, September 2006

- Horowitz, C. J.; Schwenk, A.
- Nuclear Physics A, Vol. 776, Issue 1-2

##
Examining the pros and cons of the interpretation of the collinear cluster tri-partition phenomenon

journal, February 2019

- Chuvilskaya, T. V.; Tchuvil'sky, Yu. M.
- Physical Review C, Vol. 99, Issue 2

##
Phenomenological modeling of durotaxis

journal, July 2017

- Yu, Guangyuan; Feng, Jingchen; Man, Haoran
- Physical Review E, Vol. 96, Issue 1

##
Scission point model for the mass distribution of ternary fission

journal, April 2019

- Karthika, C.; Balasubramaniam, M.
- The European Physical Journal A, Vol. 55, Issue 4

##
Pre-scission configuration of the tri-nuclear system at spontaneous ternary fission of 252Cf

journal, May 2016

- Nasirov, A. K.; Tashkhodjaev, R. B.; von Oertzen, W.
- The European Physical Journal A, Vol. 52, Issue 5