Folding Model Analysis of Proton Elastic Scattering Based on the One-Body Density Matrix of Shell Model

HU Ze-Hua; SUN Wei-Li; TIAN Dong-Feng; ZHANG Ben-Ai

Chinese Physics C> 2007, Vol. 31> Issue(2) : 155-161

Folding Model Analysis of Proton Elastic Scattering Based on the One-Body Density Matrix of Shell Model

Graduate School, China Academy of Engineering Physics, Beijing 100088, China2 Institute of Applied Physics and Computational Physics, Beijing 100088, China

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Abstract：
By using the real part of the optical potential obtained in the folding model calculation and the imaginary part of the optical potential of Koning and Delaroche, the data of the proton elastic scattering off ^30—40S are calculated and analyzed. By introducing the one-body density matrix of nuclear shell model with Woods-Saxon potential, the local approximation which is usually used in the folding model can be eliminated. The effects of the local approximation on the folding potential and the cross sections of elastic scattering are analyzed. The calculated results are compared with those of the folding model and JLM model.

References

[1]

. Hama S, Clark B, Cooper E D et al. Phys. Rev., 1990, C41:27372. Koning A, Delaroche J P. Nucl. Phys., 2003, A713: 2313. Jeukenne J P, Lejeune A, Mahaux C. Phys. Rev., 1974,C10: 1391; Jeukenne J P, Lejeune A, Mahaux C. Phys.Rev., 1977, C15: 104. Sinha B. Phys. Rep., 1975, 20: 15. Brieva F A, Rook J R. Nucl. Phys., 1977, A291: 299;Brieva F A, Rook J R. Nucl. Phys., 1977, A291: 317;Brieva F A, Rook J R. Nucl. Phys., 1978, A297: 2066. Satchler G R, Love W G. Phys. Rep., 1979, 55: 1837. Rikus L, Nakano K, von Geramb H V. Nucl. Phys., 1984,A414: 4138. Bertsch G, Borysowicz J, McManus H et al. Nucl. Phys.,1977, A284: 3999. Anantaraman N, Toki H, Bertsch G F. Nucl. Phys., 1983,A398: 26910. Dortmans P J, Amos K, Karataglidis S. Phys. Rev., 1998,C58: 2249; Amos K, Dortmans P J, von Geramb H V etal. Adv. in Nucl. Phys., 2000, 25: 27511. Khoa D T, Khan E, Colò G et al. Nucl. Phys., 2002 A706:6112. Bauge E, Delaroche J P, Girod M. Phys. Rev., 1998, C58:111813. Feshbach H. Theoretical Nuclear Physics. Vol. II. New York: Wiley, 199214. Kobos A M, Brown B A, Hodgson P E et al. Nucl. Phys.,1982, A384: 65; Kobos A M, Brown B A, Lindsay R et al.Nucl. Phys., 1984, A425: 20515. Khoa D T, von Oertzen W. Phys. Lett., 1993, B304: 816. Khoa D T, Satchler G R, von Oertzen W. Phys. Rev., 1997,C56: 95417. Negele J W, Vautherin D. Phys. Rev., 1972, C5: 147218. Campi X, Bouyssy A. Phys. Lett., 1978 B73: 26319. Ring P, Schuck P. The Nuclear Many-Body Problem. NewYork: Springer-Verlag, 1980. 54220. Ismail M, Osman M M, Salah F. Phys. Lett., 1996, B378:4021. Soubbotin V B, Vias X. J. Phys., 1999, G25: 2087; Nucl.Phys., 2000, A665: 29122. Khoa D T. Phys. Rev., 2001 C63: 03400723. Satchler G R. Direct Nuclear Reactions. Oxford: Claren-don, 198324. Varshalovich D A, Moskalev A N, Khersonskii V K. Quan-tun Theory of Angular Momentum. Sigapore: Word Scien-fic, 198825. Bohr A, Mottelson B R. Nuclear Structure Vol. I. NewYork: Benjamin, 1969. 238|23926. Khan E et al. Nucl. Phys., 2001 A694: 10327. Bauge E, Delaroche J P, Girod M. Phys. Rev.,2001, C63:02460728. Alarcon R, Rapaport J, Kovzes R T et al. Phys. Rev., 1985,C31: 69729. Hogenbirk A, Blok H P, Brand M G E et al. Nucl. Phys.,1990, A516: 20530. Kelley J H et al. Phys. Rev., 1997, C56: R120631. Maréchal F et al. Phys. Rev., 1999 C60: 034615

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[4]	Yang Yongxu , Li Qingrun . Description of ¹⁶O+¹⁶O Elastic Scattering at 124MeV by a Folding Model. Chinese Physics C, 1997, 21(7): 645-647.
[5]	Li Yangguo . Antiproton -Nucleus Charge Exchange Reaction and Inelastic Scattering. Chinese Physics C, 1996, 20(11): 1021-1027.
[6]	An Zhu . Microscopic Analysis of Proton Scattering from ²⁸Si at 22MeV. Chinese Physics C, 1995, 19(10): 873-878.
[7]	Mao Guangjun , Li Zhuxia , Zhuo Yizhong , Han Yinlu , Yu Ziqiang . In-medium N-N Elastic Cross Section. Chinese Physics C, 1994, 18(S1): 56-63.
[8]	LI Yang-Guo . RELATIVISTIC STUDY OF PROTON-NUCLEUS ELASTIC SCATTERING AT LOWER ENERGIES. Chinese Physics C, 1989, 13(2): 148-155.
[9]	MA Zhong-Yu , GU Ying-Qi , ZHU Ping , ZHOU Yi-Zhong . SYSTEMATICAL ANALYSES OF PROTON-NUCLEI SCATTERING WITH RELATIVISTIC MICROSCOPIC OPTICAL POTENTIAL. Chinese Physics C, 1988, 12(5): 635-643.
[10]	LI Yang-Guo . ANALYIS OF ANTIPROTON-NUCLEUS ELASTIC SCATTERING. Chinese Physics C, 1988, 12(4): 501-508.
[11]	LIU Yuan , LI Yang-Guo . RELATIVISTIC DESCRIPTION OF PROTON-NUCLEUS ELASTIC SCATTERING AT HIGH ENERGIES. Chinese Physics C, 1987, 11(1): 68-77.
[12]	LIU Yuan , LI Yang-Guo . THE EFFECTS OF INELASTIC CHANNEL TO THE PROTON-NUCLEUS ELASTIC SCATTERING AT HIGH ENERGIES. Chinese Physics C, 1984, 8(4): 426-430.
[13]	SHEN Qing-Biao , TIAN Ye , LIU Rui-Zhe . CALCULATIONS OF NUCLEON DENSITIES, KINETIC ENERGY DENSITIES, SPIN DENSITIES AND CHARGE DENSITY WITH SHELL MODEL FOR ⁴⁰Ca. Chinese Physics C, 1983, 7(4): 473-480.
[14]	MA Wei-Xing , YU Zi-Qiang , XU Cheng-Xian . π-¹²C ELASTIC SCATTERING IN THE QUASI-Δ₃₃ DOORWAY STATE MODEL. Chinese Physics C, 1983, 7(2): 186-196.
[15]	LIU BO , CHIANG HUAN-CHING . THE DWIA ANALYSIS OF PION-¹⁸O INELASTIC SCATTERING. Chinese Physics C, 1982, 6(6): 743-749.
[16]	Lu SHI-QI , WANG RU-LIN , MA WEI-XING . INVESTIGATION OF THE EFFECT OF NUCLEAR SHORT RANGE CORRELATION IN HEAVY ION SCATTERING. Chinese Physics C, 1981, 5(3): 374-377.
[17]	Ma Wei-xing , Lin Chun-can . ELASTIC SCATTERING OF HADRONS FROM NUCLEI AT HIGH ENERGY AND THE SHORT RANGE CORRELATION IN NUCLEI. Chinese Physics C, 1980, 4(3): 302-312.
[18]	Zheng Yu-ming , Lu Zhao-qi , Chen Yong-shou . THE FOLDING POTENTIAL OF THE DOUBLE WELL-CLUSTER SHELL MODEL. Chinese Physics C, 1980, 4(1): 109-112.
[19]	NEUTRON PHYSICS GROUP OF NUCLEAR PHYSICS LABORATORY . ELASTIC SCATTERING OF FAST NEUTRONS FROM Fe, Cu AND Pb. Chinese Physics C, 1978, 2(5): 450-460.
[20]	TU TUNG-SHENG , WU JI-MIN . NEUTRINO-PROTON, NEUTRINO-ELECTRON ELASTIC SCATTERING AND THE SPACE-TIME STRUCTURE OF THE WEAK NEUTRAL CURRENTS. Chinese Physics C, 1978, 2(6): 515-525.

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HU Ze-Hua, SUN Wei-Li, TIAN Dong-Feng and ZHANG Ben-Ai. Folding Model Analysis of Proton Elastic Scattering Based on the One-Body Density Matrix of Shell Model[J]. Chinese Physics C, 2007, 31(2): 155-161.

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Received: 2006-04-11
Revised: 2006-09-03

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Folding Model Analysis of Proton Elastic Scattering Based on the One-Body Density Matrix of Shell Model

Corresponding author: HU Ze-Hua,

Graduate School, China Academy of Engineering Physics, Beijing 100088, China2 Institute of Applied Physics and Computational Physics, Beijing 100088, China

Received Date: 2006-04-11

Accepted Date: 2006-09-03

Available Online: 2007-02-05

Abstract: By using the real part of the optical potential obtained in the folding model calculation and the imaginary part of the optical potential of Koning and Delaroche, the data of the proton elastic scattering off ^30—40S are calculated and analyzed. By introducing the one-body density matrix of nuclear shell model with Woods-Saxon potential, the local approximation which is usually used in the folding model can be eliminated. The effects of the local approximation on the folding potential and the cross sections of elastic scattering are analyzed. The calculated results are compared with those of the folding model and JLM model.

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Folding Model Analysis of Proton Elastic Scattering Based on the One-Body Density Matrix of Shell Model

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