Theoretical Study of the Coupled-channel Effects in Fusion Reactions <sup>46,50</sup>Ti+<sup>124</sup>Sn

WANG Bing; ZHAO Weijuan; ZHAO Enguang; ZHOU Shangui

doi:10.11804/NuclPhysRev.34.03.539

Volume 34 Issue 3

Jul. 2017

Turn off MathJax

Article Contents

Article Navigation > Nuclear Physics Review > 2017 > 34(3): 539-544

WANG Bing, ZHAO Weijuan, ZHAO Enguang, ZHOU Shangui. Theoretical Study of the Coupled-channel Effects in Fusion Reactions 46,50Ti+124Sn[J]. Nuclear Physics Review, 2017, 34(3): 539-544. doi: 10.11804/NuclPhysRev.34.03.539

Citation:

WANG Bing, ZHAO Weijuan, ZHAO Enguang, ZHOU Shangui. Theoretical Study of the Coupled-channel Effects in Fusion Reactions ^46,50Ti+¹²⁴Sn[J]. Nuclear Physics Review, 2017, 34(3): 539-544. doi: 10.11804/NuclPhysRev.34.03.539

Theoretical Study of the Coupled-channel Effects in Fusion Reactions ^46,50Ti+¹²⁴Sn

doi: 10.11804/NuclPhysRev.34.03.539

1.
Department of Physics, Zhengzhou University, Zhengzhou 450001, China;
2.
CAS Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China;
3.
Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China;
4.
School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
5.
Synergetic Innovation Center for Quantum Effects and Application, Hunan Normal University, Changsha 410081, China

Funds: Natural Science Foundation of China(11475115, 11525524, 11621131001, 11647601, 11711540016, 11705165); Knowledge Innovation Project of Chinese Academy of Sciences (KJCX2-EW-N01); Key Research Program of Frontier Sciences of CAS

Received Date: 2016-11-18
Rev Recd Date: 2017-04-13
Publish Date: 2017-07-18

Abstract

The heavy-ion capture and fusion processes at energies near the Coulomb barrier can be treated as a multi-dimensional barrier penetration problem. In the eigenchannel framework, the couplings to other channels split the single potential barrier into a set of discrete barriers. Based on the concept of the barrier distribution, we have developed an empirical coupled-channel (ECC) model and performed a systematic study of capture excitation functions for 220 reaction systems. Recently, an experiment was reported in which the capture excitation functions of reactions ^46,50Ti+¹²⁴Sn were measured. In this work, we review the ECC model briefly and use this model together with the universal fusion function (UFF) prescription to study the coupled-channel effects in fusion reactions ^46,50Ti+¹²⁴Sn. The reduced fusion functions show that the sub-barrier capture cross sections of ⁴⁶Ti+¹²⁴Sn exhibit an extra enhancement as compared with those of ⁵⁰Ti+¹²⁴Sn. The results from the ECC model reproduce the experimental capture excitation functions successfully and show that this extra enhancement of the sub-barrier cross sections for ⁴⁶Ti+¹²⁴Sn can be ascribed to the positive Q value neutron transfer effect.
- barrier distribution,
- empirical coupled-channel model,
- coupled-channel effect

References

[1]	HOFMANN S, MÜNZENBERG G. Rev Mod Phys, 2000, 72:733.
[2]	MORITA K, MORIMOTO K, KAJI D, et al. J Phys Soc Jpn, 2004, 73:2593.
[3]	NAIK R S, LOVELAND W, SPRUNGER P H, et al. Phys Rev C, 2007, 76:054604.
[4]	ZHANG Z Y, GAN Z G, MA L, et al. Chin Phys Lett, 2012, 29:012502.
[5]	HAMILTON J, HOFMANN S, OGANESSIAN Y. Annu Rev Nucl Part Sci, 2013, 63:383.
[6]	OGANESSIAN Y T, UTYONKOV V K. Rep Prog Phys, 2015, 78:036301.
[7]	KAROL P J, BARBER R C, SHERRILL B M, et al. Pure Appl Chem, 2016, 88:139.
[8]	KAROL P J, BARBER R C, SHERRILL B M, et al. Pure Appl Chem, 2016, 88:155.
[9]	ZHAO E G, WANG N, FENG Z Q, et al. Int J Mod Phys E, 2008, 17:1937.
[10]	FENG Z Q, JIN G M, LI J Q. Nucl Phys Rev, 2011, 28:1.
[11]	LI L L, LU B N, WANG N, et al. Nucl Phys Rev, 2014, 31(3):253. doi:10.11804/NuclPhysRev.31.03.253. (in Chinese) (李璐璐, 吕炳楠, 王楠, 等. 原子核物理评论, 2014, 31(3):253.)
[12]	ZHU L, XIE W J, ZHANG F S. Phys Rev C, 2014, 89:024615.
[13]	BAO X J, GAO Y, LI J Q, et al. Phys Rev C, 2016, 93:044615.
[14]	LU H, BÖILLEY D, ABE Y, et al. Phys Rev C, 2016, 94:034616.
[15]	WANG N, TIAN J, SCHEID W. Phys Rev C, 2011, 84:061601(R).
[16]	ZAGREBAEV V, GREINER W. Phys Rev C, 2008, 78:034610(R).
[17]	ZHANG J, WANG C, REN Z. Nucl Phys A, 2013, 909:36.
[18]	LIU Z H, BAO J D. Phys Rev C, 2011, 84:031602(R).
[19]	WANG N, ZHAO E G, SCHEID W, et al. Phys Rev C, 2012, 85:041601(R)
[20]	THOMPSON I J. Comput Phys Rep, 1988, 7:167.
[21]	HAGINO K, ROWLEY N, KRUPPA A. Comput Phys Commun, 1999, 123:143.
[22]	HAGINO K, TAKIGAWA N. Prog Theo Phys, 2012, 128:1001.
[23]	BECKERMAN M. Rep Prog Phys, 1988, 51:1047.
[24]	DASGUPTA M, HINDE D J, ROWLEY N, et al. Annu Rev Nucl Part Sci, 1998, 48:401.
[25]	CANTO, L F, GOMES, P R S, DONANGELO, R, et al. Phys Rep, 2015, 596:1.
[26]	SIWEK-WILCZYNSKA K, SIEMASZKO E, WILCZYNSKI J. Acta Phys Pol B, 2002, 33:451.
[27]	ZAGREBAEV V I, ARITOMO Y, ITKIS M G, et al. Phys Rev C, 2001, 65:014607.
[28]	ZAGREBAEV V I, SAMARIN V V. Phys At Nucl, 2004, 67:1462.
[29]	LIU M, WANG N, LI Z, et al. Nucl Phys A, 2006, 768:80.
[30]	ZHU L, FENG Z Q, LI C, et al. Phys Rev C, 2014, 90:014612.
[31]	WANG B, WEN K, ZHAO W J, et al. At Data Nucl Data Tables, 2016, 114:281.
[32]	WANG B, ZHAO W, ZHAO E, et al. Sci China-Phys Mech Astron, 2016, 59:642002.
[33]	WANG B, ZHAO W J, DIAZ-TORRES A, et al. Phys Rev C, 2016, 93:014615.
[34]	LIANG J F, ALLMOND J M, GROSS C J, et al. Phys Rev C, 2016, 94:024616.
[35]	HILL D L, WHEELER J A. Phys Rev, 1953, 89:1102
[36]	LI L L, ZHOU S G, ZHAO E G, et al. Int J Mod Phys E, 2010, 19:359.
[37]	ZAGREBAEV V I. Phys Rev C, 2003, 67:061601(R).
[38]	MÖLLER P, NIX J R, MYERS W D, et al. At Data Nucl Data Tables, 1995, 59:185.
[39]	BROGLIA R, DASSO C, LANDOWNE S, et al. Phys Rev C, 1983, 27:2433R.
[40]	WANG B, ZHAO W J, GOMES P R S, et al. Phys Rev C, 2014, 90:034612.
[41]	CANTO L F, GOMES P R S, LUBIAN J, et al. J Phys G:Nucl Phys, 2009, 36:015109.
[42]	CANTO L F, GOMES P R S, LUBIAN J, et al. Nucl Phys A, 2009, 821:51.
[43]	CÂNDIDO RIBEIRO M A, CHAMON L C, PEREIRA D, et al. Phys Rev Lett, 1997, 78:3270.
[44]	CHAMON L C, PEREIRA D, HUSSEIN M S, et al. Phys Rev Lett, 1997, 79:5218.
[45]	CHAMON L C, CARLSON B V, GASQUES L R, et al. Phys Rev C, 2002, 66:014610.

Proportional views

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Get Citation

PDF

XML

Article Metrics

Article views(1115) PDF downloads(121) Cited by()

Proportional views

Theoretical Study of the Coupled-channel Effects in Fusion Reactions ^46,50Ti+¹²⁴Sn

1. Department of Physics, Zhengzhou University, Zhengzhou 450001, China;

2. CAS Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China;

3. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China;

4. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;

5. Synergetic Innovation Center for Quantum Effects and Application, Hunan Normal University, Changsha 410081, China

Received Date: 2016-11-18

Rev Recd Date: 2017-04-13

Publish Date: 2017-07-18

Key words:

Abstract: The heavy-ion capture and fusion processes at energies near the Coulomb barrier can be treated as a multi-dimensional barrier penetration problem. In the eigenchannel framework, the couplings to other channels split the single potential barrier into a set of discrete barriers. Based on the concept of the barrier distribution, we have developed an empirical coupled-channel (ECC) model and performed a systematic study of capture excitation functions for 220 reaction systems. Recently, an experiment was reported in which the capture excitation functions of reactions ^46,50Ti+¹²⁴Sn were measured. In this work, we review the ECC model briefly and use this model together with the universal fusion function (UFF) prescription to study the coupled-channel effects in fusion reactions ^46,50Ti+¹²⁴Sn. The reduced fusion functions show that the sub-barrier capture cross sections of ⁴⁶Ti+¹²⁴Sn exhibit an extra enhancement as compared with those of ⁵⁰Ti+¹²⁴Sn. The results from the ECC model reproduce the experimental capture excitation functions successfully and show that this extra enhancement of the sub-barrier cross sections for ⁴⁶Ti+¹²⁴Sn can be ascribed to the positive Q value neutron transfer effect.

HTML

Reference (45)

[1]	HOFMANN S, MÜNZENBERG G. Rev Mod Phys, 2000, 72:733.
[2]	MORITA K, MORIMOTO K, KAJI D, et al. J Phys Soc Jpn, 2004, 73:2593.
[3]	NAIK R S, LOVELAND W, SPRUNGER P H, et al. Phys Rev C, 2007, 76:054604.
[4]	ZHANG Z Y, GAN Z G, MA L, et al. Chin Phys Lett, 2012, 29:012502.
[5]	HAMILTON J, HOFMANN S, OGANESSIAN Y. Annu Rev Nucl Part Sci, 2013, 63:383.
[6]	OGANESSIAN Y T, UTYONKOV V K. Rep Prog Phys, 2015, 78:036301.
[7]	KAROL P J, BARBER R C, SHERRILL B M, et al. Pure Appl Chem, 2016, 88:139.
[8]	KAROL P J, BARBER R C, SHERRILL B M, et al. Pure Appl Chem, 2016, 88:155.
[9]	ZHAO E G, WANG N, FENG Z Q, et al. Int J Mod Phys E, 2008, 17:1937.
[10]	FENG Z Q, JIN G M, LI J Q. Nucl Phys Rev, 2011, 28:1.
[11]	LI L L, LU B N, WANG N, et al. Nucl Phys Rev, 2014, 31(3):253. doi:10.11804/NuclPhysRev.31.03.253. (in Chinese) (李璐璐, 吕炳楠, 王楠, 等. 原子核物理评论, 2014, 31(3):253.)
[12]	ZHU L, XIE W J, ZHANG F S. Phys Rev C, 2014, 89:024615.
[13]	BAO X J, GAO Y, LI J Q, et al. Phys Rev C, 2016, 93:044615.
[14]	LU H, BÖILLEY D, ABE Y, et al. Phys Rev C, 2016, 94:034616.
[15]	WANG N, TIAN J, SCHEID W. Phys Rev C, 2011, 84:061601(R).
[16]	ZAGREBAEV V, GREINER W. Phys Rev C, 2008, 78:034610(R).
[17]	ZHANG J, WANG C, REN Z. Nucl Phys A, 2013, 909:36.
[18]	LIU Z H, BAO J D. Phys Rev C, 2011, 84:031602(R).
[19]	WANG N, ZHAO E G, SCHEID W, et al. Phys Rev C, 2012, 85:041601(R)
[20]	THOMPSON I J. Comput Phys Rep, 1988, 7:167.
[21]	HAGINO K, ROWLEY N, KRUPPA A. Comput Phys Commun, 1999, 123:143.
[22]	HAGINO K, TAKIGAWA N. Prog Theo Phys, 2012, 128:1001.
[23]	BECKERMAN M. Rep Prog Phys, 1988, 51:1047.
[24]	DASGUPTA M, HINDE D J, ROWLEY N, et al. Annu Rev Nucl Part Sci, 1998, 48:401.
[25]	CANTO, L F, GOMES, P R S, DONANGELO, R, et al. Phys Rep, 2015, 596:1.
[26]	SIWEK-WILCZYNSKA K, SIEMASZKO E, WILCZYNSKI J. Acta Phys Pol B, 2002, 33:451.
[27]	ZAGREBAEV V I, ARITOMO Y, ITKIS M G, et al. Phys Rev C, 2001, 65:014607.
[28]	ZAGREBAEV V I, SAMARIN V V. Phys At Nucl, 2004, 67:1462.
[29]	LIU M, WANG N, LI Z, et al. Nucl Phys A, 2006, 768:80.
[30]	ZHU L, FENG Z Q, LI C, et al. Phys Rev C, 2014, 90:014612.
[31]	WANG B, WEN K, ZHAO W J, et al. At Data Nucl Data Tables, 2016, 114:281.
[32]	WANG B, ZHAO W, ZHAO E, et al. Sci China-Phys Mech Astron, 2016, 59:642002.
[33]	WANG B, ZHAO W J, DIAZ-TORRES A, et al. Phys Rev C, 2016, 93:014615.
[34]	LIANG J F, ALLMOND J M, GROSS C J, et al. Phys Rev C, 2016, 94:024616.
[35]	HILL D L, WHEELER J A. Phys Rev, 1953, 89:1102
[36]	LI L L, ZHOU S G, ZHAO E G, et al. Int J Mod Phys E, 2010, 19:359.
[37]	ZAGREBAEV V I. Phys Rev C, 2003, 67:061601(R).
[38]	MÖLLER P, NIX J R, MYERS W D, et al. At Data Nucl Data Tables, 1995, 59:185.
[39]	BROGLIA R, DASSO C, LANDOWNE S, et al. Phys Rev C, 1983, 27:2433R.
[40]	WANG B, ZHAO W J, GOMES P R S, et al. Phys Rev C, 2014, 90:034612.
[41]	CANTO L F, GOMES P R S, LUBIAN J, et al. J Phys G:Nucl Phys, 2009, 36:015109.
[42]	CANTO L F, GOMES P R S, LUBIAN J, et al. Nucl Phys A, 2009, 821:51.
[43]	CÂNDIDO RIBEIRO M A, CHAMON L C, PEREIRA D, et al. Phys Rev Lett, 1997, 78:3270.
[44]	CHAMON L C, PEREIRA D, HUSSEIN M S, et al. Phys Rev Lett, 1997, 79:5218.
[45]	CHAMON L C, CARLSON B V, GASQUES L R, et al. Phys Rev C, 2002, 66:014610.

Theoretical Study of the Coupled-channel Effects in Fusion Reactions 46,50Ti+124Sn

doi: 10.11804/NuclPhysRev.34.03.539

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Proportional views

Theoretical Study of the Coupled-channel Effects in Fusion Reactions 46,50Ti+124Sn

doi: 10.11804/NuclPhysRev.34.03.539

HTML

Catalog

Export File

Citation

Format

Content

Theoretical Study of the Coupled-channel Effects in Fusion Reactions ^46,50Ti+¹²⁴Sn

Theoretical Study of the Coupled-channel Effects in Fusion Reactions ^46,50Ti+¹²⁴Sn