Rigorous spectral representation of relativistic random phase approximation for finite nuclei

LI Ning; YAO Hai-Bo; CHEN Xi; WU Shi-Shu

doi:10.1088/1674-1137/34/12/008

Chinese Physics C> 2010, Vol. 34> Issue(12) : 1830-1835 DOI: 10.1088/1674-1137/34/12/008

Rigorous spectral representation of relativistic random phase approximation for finite nuclei

Abstract
HTML
Reference
Related

PDF

Abstract：
By using the rigorous spectral representation of relativistic random phase approximation, the low-lying excitation of finite nuclei and its longitudinal response function for quasielastic
electron scattering are calculated in the σ-ω model of quantum hadrodynamics. It is shown that the reproduction of the correct order of the 1^－ and 3^－ excitation states of ¹⁶O is due to the contribution of the exchange vertex. There is no significant influence of the retardation effect on the low-lying excitation states. In contrast, the retardation effect plays an important role in the electron scattering process of nuclei. The theoretical longitudinal responses of ¹²C and ⁴⁰Ca, including the contributions of the exchange vertex and the retardation effect, are suppressed and reproduce the experimental data better than the results excluding them.

References

[1]

Lipparini E,Stingari S.Phys.Rep.,1989,175(3,4):103-261[2] Wehrberger K.Phys.Rep.,1993,225(5,6):273-362[3] Chin S A.Ann.Phys.(N.Y.),1977,108:301-367[4] Horowitz C J,Serot B D.Nucl.Phys.A,1987,464:613-699[5] Baym G,Kadanoff L P.Phys.Rev.,1961,124:287-299[6] Blunden P G,McCorquodale P.Phys.Rev.C,1988,38:1861-1869[7] Crecca M A,Walker G E.Phys.Rev.C,1991,43:1709-1724[8] Bauer E.Phys.Rev.C,1996,54,2959-2966[9] Bauer E,Polls A,Ramos A.Phys.Rev.C,1998,58:1052-1065[10] WU Shi-Shu.J.Phys.G,1990,16:1447-1460[11] WU Shi-Shu,YAO Yu-Jie,SU Jun-Chen et al.Chinese Phys.Lett.,1992,9:345-348[12] WU Shi-Shu,ZHANG Hai-Xia,YAO Yu-Jie.Study of Con-sistency in the Relativistic Random Phase Approximation.In:Kuo T T S,Lee T -S H,WU Shi-Shu,ed.Nuclear Many-Body Problem and Sub-Nucleonic Degrees of Freedom in Nuclei.Changchun:Jilin Pepole's Press.2008.141-155[13] Serot B D,Walecka J D.Adv.Nucl.Phys.,1985,16:1-327[14] Reinhard P G.Rep.Prog.Phys.1989,52:439-514[15] Ring P.Prog.Part.Nucl.Phys.,1996,37:193-263[16] Vretenar D,Afanasjev A,Lalazissis G,Ring P.Phys.Rep.,2005,409:101-259[17] MENG J,Toki H,ZHOU S G,ZHANG S Q,LONG W H,GENG L S.Prog.Part.Nucl.Phys.,2006,57:470-563[18] Horowitz C J,Serot B D.Nucl.Phys.A,1981,368:503-528[19] Ajzenberg-Selove F et al.Nucl.Phys.A,1982,375:1-168[20] Dawson J F,Furnstahl R J.Phys.Rev.C,1990,42:2009-2022[21] Meziani Z E et al.Phys.Rev.Lett.,1984,52:2130-2133[22] Wehrverger K,Beck F.Phys.Rev.C,1988,37:1148-1154[23] Shepard J R,Rost E,McNeil J A.Phys.Rev.C,1989,40:2320-2336

[1]	Ya-Peng Zhao , Rui-Rui Zhang , Han Zhang , Hong-Shi Zong . Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume. Chinese Physics C, 2019, 43(6): 063101. doi: 10.1088/1674-1137/43/6/063101
[2]	Xiang-Ru Yu , Jing Hu , Xiao-Xue Li , Si-Yu An , Yu Zhang . Effects of single particle on shape phase transitions and phase coexistence in odd-even nuclei. Chinese Physics C, 2018, 42(3): 034103. doi: 10.1088/1674-1137/42/3/034103
[3]	Xue Pan , Yanhua Zhang , Lizhu Chen , Mingmei Xu , Yuanfang Wu . Finite-size behaviour of generalized susceptibilities in the whole phase plane of the Potts model. Chinese Physics C, 2018, 42(2): 023110. doi: 10.1088/1674-1137/42/2/023110
[4]	El Hanafy , G. G. L. Nashed . Generic phase portrait analysis of finite-time singularities and generalized teleparallel gravity. Chinese Physics C, 2017, 41(12): 125103. doi: 10.1088/1674-1137/41/12/125103
[5]	ZHANG Hui , SHU Song . Mean-field approximation for the chiral soliton in achiral phase transition. Chinese Physics C, 2015, 39(9): 094104. doi: 10.1088/1674-1137/39/9/094104
[6]	WANG Rui , CHEN Ying , GONG Ming , LIU Chuan , LIU Yu-Bin , LIU Zhao-Feng , MA Jian-Ping , MENG Xiang-Fei , ZHANG Jian-Bo . Phase transition in finite density and temperature lattice QCD. Chinese Physics C, 2015, 39(6): 063103. doi: 10.1088/1674-1137/39/6/063103
[7]	CHEN Li-Zhu , CHEN Yun-Yun , WU Yuan-Fang . Finite-size behavior near the critical point of QCD phase-transition. Chinese Physics C, 2014, 38(10): 104103. doi: 10.1088/1674-1137/38/10/104103
[8]	CHEN Yan-Jun . Quasielastic electron scattering in a derivative coupling model with relativistic random phase approximation. Chinese Physics C, 2013, 37(7): 074101. doi: 10.1088/1674-1137/37/7/074101
[9]	YANG Ding , CAO Li-Gang , MA Zhong-Yu . Collective multipole excitations of exotic nuclei in relativistic continuum random phase approximation. Chinese Physics C, 2013, 37(12): 124102. doi: 10.1088/1674-1137/37/12/124102
[10]	R. G. Nazmitdinov , E. I. Shahaliev , M. K. Suleymanov . Central nucleus-nucleus collisions at relativistic energies with a new method based on Random Matrix Theory. Chinese Physics C, 2010, 34(8): 1076-1081. doi: 10.1088/1674-1137/34/8/007
[11]	ZHANG Zi-Zhen . Relativistic description of single-particle resonances via phase shift analysis. Chinese Physics C, 2009, 33(3): 187-190. doi: 10.1088/1674-1137/33/3/005
[12]	YU Yi , GUO Jian-You . Solution to the eigenstates of pairing Hamiltonian in finite nuclei. Chinese Physics C, 2009, 33(S1): 134-136. doi: 10.1088/1674-1137/33/S1/042
[13]	Chen Baoqiu , Ma Zhongyu . Description of the Properties of Nuclei Far From the β Stability Line in the Relativistic Mean Field Theory. Chinese Physics C, 1994, 18(Z1): 87-94.
[14]	Shen Kun , Qiu Zhongping . Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(S3): 261-270.
[15]	Soren P. Sorensen , Zhao Weiqin . Influence of Finite Collision Time on Energy Density in Relativistic Heavy Ion Collisions. Chinese Physics C, 1993, 17(S1): 89-93.
[16]	Wang Enke , Li Jiarong . The Equation of State and Phase Structure in A Model with Dynamical Spontaneous Symmetry Breaking at Finite Temperature and Density. Chinese Physics C, 1992, 16(S2): 193-200.
[17]	Mao Naifeng , Li Zenghai . Spline Function Representation For Transformation of Beam Phase Space With Arbitrary Contours. Chinese Physics C, 1989, 13(S2): 149-156.
[18]	Sa Benhao , Zheng Yuming , Zhang Xiaoze , Lu Zhaoqi , Xu Shuyan , D. H. E. Gross . Behaviors of the Phase Transition Exhibited in the Disassembly of Hot, Dilute and Finite Nuclei. Chinese Physics C, 1989, 13(S1): 53-58.
[19]	Ma Zhongyu , Gu Yingqi , Zhu ping , Zhuo Yizhong . Systematical Analyses of Proton-Nuclei Scattering with the Relativistic Microscopic Optical Potential. Chinese Physics C, 1988, 12(S3): 281-292.
[20]	Sun Changpu . Quasi-Adiabatic Approximation for Slowly-Changing Quantum System and Berry's Phase Factors. Chinese Physics C, 1988, 12(S3): 251-260.

Access

Get Citation

LI Ning, YAO Hai-Bo, CHEN Xi and WU Shi-Shu. Rigorous spectral representation of relativistic random phase approximation for finite nuclei[J]. Chinese Physics C, 2010, 34(12): 1830-1835. doi: 10.1088/1674-1137/34/12/008

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-02-03
Revised: 2010-04-06

Article Metric

Article Views(2718)
PDF Downloads(936)
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

Rigorous spectral representation of relativistic random phase approximation for finite nuclei

Corresponding author: LI Ning,

Received Date: 2010-02-03

Accepted Date: 2010-04-06

Available Online: 2010-12-05

Abstract:

By using the rigorous spectral representation of relativistic random phase approximation, the low-lying excitation of finite nuclei and its longitudinal response function for quasielastic
electron scattering are calculated in the σ-ω model of quantum hadrodynamics. It is shown that the reproduction of the correct order of the 1^－ and 3^－ excitation states of ¹⁶O is due to the contribution of the exchange vertex. There is no significant influence of the retardation effect on the low-lying excitation states. In contrast, the retardation effect plays an important role in the electron scattering process of nuclei. The theoretical longitudinal responses of ¹²C and ⁴⁰Ca, including the contributions of the exchange vertex and the retardation effect, are suppressed and reproduce the experimental data better than the results excluding them.

HTML

Reference (1)

Rigorous spectral representation of relativistic random phase approximation for finite nuclei

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article