Density-dependent potential for multi-neutron halo nuclei

CHEN Shuang; CHU Yan-Yun; REN Zhong-Zhou

doi:10.1088/1674-1137/33/8/008

Chinese Physics C> 2009, Vol. 33> Issue(8) : 639-644 DOI: 10.1088/1674-1137/33/8/008

Density-dependent potential for multi-neutron halo nuclei

Abstract
HTML
Reference
Related

PDF

Abstract：
We apply a simple density-dependent potential model to the three-body calculation of the ground-state structure of drip-line nuclei with a weakly bound core. The hyperspherical harmonics method is used to solve the Faddeev equations. There are no undetermined potential parameters in this calculation. We find that for the halo nuclei with a weakly-bound core, the calculated properties of the ground-state structure are in better agreement with experimental data than the results calculated from the standard Woods-Saxon and Gauss type potentials. We also successfully reproduce the experimental cross sections by using the density calculated from this method. This may be explained by the fact that the simple Fermi or Gaussian function can not exactly describe the density distribution of the drip-line nuclei.

References

[1]

. Tanihata I. J. Phys. G, 1996, 22: 1572. Hansen P G, Jonson B. Europhys. Lett., 1987, 4: 4093. REN Zhong-Zhou, XU Gong-Ou. Phys. Lett. B, 1990, 25:3114. Tosaka Y, Suzuki Y. Nucl. Phys. A, 1990, 512: 465. Bertsch G F, Esbensen H. Ann. Phys., 1991, 209: 3276. Otsuka T, Fukunishi N, Sagawa H. Phys. Rev. Lett., 1993,70: 13857. Zhukov MV, Danilin B V, Fedorov D V, Bang J M, Thomp-son I J, Vaagen J S. Phys. Rep., 1993, 231: 1518. Nunes F M, Christley J A, Thompson I J, Johnson R C,Efros V D. Nucl. Phys. A, 1996, 609: 439. Nunes F M, Thompson I J, Tostevin J A. Nucl. Phys. A,2002, 703: 59310. Bang J M, Danilin B V, Efros V D, Vaagen J S, Zhukov MV, Thompson I J. Phys. Rep., 1996, 264: 2711. Nielsen E, Fedorov D V, Jensen A S, Garrido E. Phys. Rep.,2001, 347: 37312. Suzuki T et al. Nucl. Phys. A, 1999, 658: 31313. Fedorov D V, Jensen A S, Riisager K. Phys. Rev. C, 1993,49: 201; Phys. Rev. C, 1994, 50: 2372; Phys. Rev. C, 1995,51: 3052; Phys. Rev. C, 1997, 55: 132714. Cobis A, Fedorov D V, Jensen A S. Phys. Rev. C, 1998,58: 140315. Garrido E, Fedorov D V, Jensen A S. Phys. Rev. C, 2003,68: 01400216. Zhukov M V, Korsheninnikov A A, Smedberg M H. Phys.Rev. C, 1994, 50: R117. Vary J P, Dover C B. Phys. Rev. Lett., 1973, 31: 151218. PANG D Y, YE Yan-Lin et al. AIP Conf. Proc., 2006, 865:1619. GE Yu-Cheng, YE Yan-Lin et al. Chin. Phys. Lett., 2003,20: 720. Dover C B, Vary J P. Phys. Rev. C, 1975, 11: 180321. El-Azab Farid M, Mahmoud Z M M, Hassan G S. Phys.Rev. C, 2001, 64: 01431022. XU Chang, REN Zhong-Zhou. Phys. Rev. C, 2006, 73:R04130123. CHEN B Q, MA Z Y, Grummer F, Krewald S. Phys. Lett.B, 1999, 455: 13-1824. PEI J C, XU F R, Stevensond P D. Nucl. Phys. A, 2005,765: 29-3825. LIU Jian-Ye, GUO Wen-Jun, REN Zhong-Zhou, XINGYong-Zhong, ZUO Wen, LEE Xi Guo. Phys. Lett. B, 2005,617: 24-3226. REN Z Z, Carstoiu F. HEP NP, 1995, 19: 562 (in Chi-nese)27. Tanihata I et al. Phys. Rev. Lett., 1985, 55: 267628. Tanihata I et al. Phys. Lett. B, 1985, 160: 38029. Al-Khalili J S, Tostevin J A. Phys. Rev. Lett., 1996, 76:390330. Liatard E et al. Europhys. Lett., 1990, 13: 40131. Hansen P G, Jonson B. Europhys. Lett., 1987, 4: 40932. Thompson I J, Nunes F M, Banilin B V. Comput. Phys.Commun., 2004, 161: 8733. Sparenberg J M, Baye D. Phys. Rev. Lett., 1997, 79: 380234. Bertsch G F, Borysowicz J, Mcmanus H, Love W G. Nucl.Phys. A, 1977, 284: 39935. Chaudhuri A K. Nucl. Phys. A, 1986, 449: 243; Nucl. Phys.A, 1986, 459: 41736. Khoa Dao T, Satchler G R, Von Oertzen W. Phys. Rev. C,1997, 56: 95437. Kobos A M, Brown B A, Lindsay R, Satchler G R. Nucl.Phys. A, 1984, 425: 20538. Satchler G R, Love W G. Phys. Rep., 1979, 55: 18339. Tanihata I et al. Phys. Lett. B, 1988, 206: 59240. Gogny D, Pires P, Tourriel R. Phys. Lett. B, 1970, 32: 59141. Audi G, Wapstrab A H, Thibaulta C. Nucl. Phys. A, 2003,729: 33742. Glauber R J. Lectures in Theoretical Physics (Vol. 1). NewYork: InterScience, 1959. 31543. Czyz W, Maximon L C. Ann. Phys. (N.Y.), 1969, 52: 5944. Karol P J. Phys. Rev. C, 1975, 11: 120345. Charagi S K, Gupta S K. Phys. Rev. C, 1990, 41: 161046. Ogawa Y et al. Nucl. Phys. A, 1992, 543: 72247. Ozawa A, Suzuki T, Tanihata I. Nucl. Phys. A, 2001, 693:3248. Neumaier S R et al. Nucl. Phys. A, 2002, 712: 24749. Tanihata I, Hirata D, Kobayashi T, Shimoura S, SugimotoK, Toki H. Phys. Lett. B, 1992, 289: 26150. Walecka J D. Theoretical Nuclear Physics and Subnuclear Physics. Oxford: Oxford University Press, 1995. 11

[1]	Dong Bai , Zhongzhou Ren , Tiekuang Dong . Two-neutron halo state of ¹⁵B around 3.48 MeV by a three-body model. Chinese Physics C, 2018, 42(6): 064103. doi: 10.1088/1674-1137/42/6/064103
[2]	Wen-Jie Xie , Feng-Shou Zhang . Effects of density-and momentum-dependent potentials in Au+Au collisions at intermediate energies. Chinese Physics C, 2018, 42(10): 104103. doi: 10.1088/1674-1137/42/10/104103
[3]	Xiang Jiang , Nan Wang . Production mechanism of neutron-rich nuclei around N=126 in the multi-nucleon transfer reaction ¹³²Sn + ²⁰⁸Pb. Chinese Physics C, 2018, 42(10): 104105. doi: 10.1088/1674-1137/42/10/104105
[4]	CHAI Qing-Zhen , WANG Hua-Lei , YANG Qiong , LIU Min-Liang . Spin-dependent γ softness or triaxiality in even-even ^132-138Nd nuclei. Chinese Physics C, 2015, 39(2): 024101. doi: 10.1088/1674-1137/39/2/024101
[5]	HOU Jia-Xun , PENG Guang-Xiong , XIA Cheng-Jun , XU Jian-Feng . Magnetized strange quark matter in a mass-density-dependent model. Chinese Physics C, 2015, 39(1): 015101. doi: 10.1088/1674-1137/39/1/015101
[6]	H. Hassanabadi , A. A. Rajabi , H. Rahimov , S. Zarrinkamar . Investigation of deformed nuclei with a new potential combination. Chinese Physics C, 2013, 37(11): 114102. doi: 10.1088/1674-1137/37/11/114102
[7]	M. R. Abdi . Relativistic particle scattering states with tensor potential and spatially-dependent mass. Chinese Physics C, 2013, 37(5): 053103. doi: 10.1088/1674-1137/37/5/053103
[8]	E. Javadimanesh , S. Zarrinkamar , H. Rahimov . An angle-dependent potential and alpha-decay half-lives ofdeformed nuclei for 67≤Z≤91. Chinese Physics C, 2013, 37(4): 044101. doi: 10.1088/1674-1137/37/4/044101
[9]	LIU Long-Xiang , SUN Zhi-Yu , YUE Ke , XIAO Guo-Qing , CHEN Xi-Meng , YU Yu-Hong , ZHANG Xue-Heng , WANG Shi-Tao , ANG Shu-Wen , ZHOU Yong , YAN Duo , FANG Fang . Study of Borromean halo nuclei by the neutron wall with simulation. Chinese Physics C, 2013, 37(11): 116202. doi: 10.1088/1674-1137/37/11/116202
[10]	JI Juan-Xia , LI Jia-Xing , HAN Rui , WANG Jian-Song , HU Qiang . The neutron halo structure of ¹⁷B studied with the relativistic Hartree-Bogoliubov theory. Chinese Physics C, 2012, 36(1): 43-47. doi: 10.1088/1674-1137/36/1/007
[11]	YE Yan-Lin , LÜ Lin-Hui , CAO Zhong-Xin , XIAO Jun . Probing the halo and cluster structure of exotic nuclei. Chinese Physics C, 2012, 36(2): 127-131. doi: 10.1088/1674-1137/36/2/004
[12]	LIU Xiao-Jin , WU Chen , REN Zhong-Zhou . Effects of the density dependence of the symmetry energy on neutron stars. Chinese Physics C, 2010, 34(11): 1709-1713. doi: 10.1088/1674-1137/34/11/008
[13]	SUN Bao-Yuan , MENG Jie . Neutron star equation of state in density dependent relativistic Hartree-Fock theory. Chinese Physics C, 2009, 33(S1): 73-75. doi: 10.1088/1674-1137/33/S1/024
[14]	CAO Xi-Guang , CHEN Jin-Gen , MA Yu-Gang , FANG De-Qing , TIAN Wen-Dong , YAN Ting-Zhi , CAI Xiang-Zhou . Density effect of the neutron halo nucleus induced reactions in intermediate energy heavy ion collisions. Chinese Physics C, 2009, 33(S1): 49-51. doi: 10.1088/1674-1137/33/S1/016
[15]	SONG Yu-Shou , YE Yan-Lin , GE Yu-Cheng , LÜ Lin-Hui , Faisal Q. , JIANG Dong-Xing , HUA Hui , ZHENG Tao , LI Zhi-Huan , LI Xiang-Qing , LOU Jian-Ling , LU Fei , FAN Feng-Ying , CAO Zhong-Xin , LI Qi-Te , XIAO Jun . Monte Carlo simulation of the property of a scintillation bar in the multi-neutron correlation spectrometer. Chinese Physics C, 2009, 33(10): 860-865. doi: 10.1088/1674-1137/33/10/008
[16]	GUO Wen-Jun , LIU Jian-Ye . Isospin effects of the Skyrme potential and the momentum dependent interaction at intermediate energy heavy ion collisions. Chinese Physics C, 2008, 32(3): 172-176. doi: 10.1088/1674-1137/32/3/002
[17]	CHU Yan-Yun , CHEN Shuang , REN Zhong-Zhou . Three-body model for neutron-halo nuclei. Chinese Physics C, 2008, 32(12): 972-975. doi: 10.1088/1674-1137/32/12/006
[18]	YANG Fang , SHEN Hong . Quark-meson coupling model with a density-dependent bag constant for nuclear matter and finite nuclei. Chinese Physics C, 2006, 30(7): 620-624.
[19]	LI Jun , BAN Shu-Fang , JIA Huan-Yu , SANG Jian-Ping , MENG Jie . Description of the Nuclear Matter and Neutron Star in Relativistic Mean Field Theory with Density-Dependent Interactions. Chinese Physics C, 2004, 28(2): 140-147.
[20]	Ren Zhongzhou , F. Carstoiu . Further Studies on Halo Nuclei ¹¹Li, ¹⁴Be and ¹⁷B. Chinese Physics C, 1995, 19(S3): 313-318.

Access

Get Citation

CHEN Shuang, CHU Yan-Yun and REN Zhong-Zhou. Density-dependent potential for multi-neutron halo nuclei[J]. Chinese Physics C, 2009, 33(8): 639-644. doi: 10.1088/1674-1137/33/8/008

CHEN Shuang, CHU Yan-Yun and REN Zhong-Zhou. Density-dependent potential for multi-neutron halo nuclei[J]. Chinese Physics C, 2009, 33(8): 639-644. doi: 10.1088/1674-1137/33/8/008 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2008-12-02
Revised: 2009-02-18

Article Metric

Article Views(2563)
PDF Downloads(522)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

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

Density-dependent potential for multi-neutron halo nuclei

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Density-dependent potential for multi-neutron halo nuclei

Corresponding author: CHEN Shuang,

HTML

目录