Polarization of protons in the optical model

Yu. A. Berezhnoy; V. P. Mikhailyuk

doi:10.1088/1674-1137/41/2/024102

Chinese Physics C> 2017, Vol. 41> Issue(2) : 024102 DOI: 10.1088/1674-1137/41/2/024102

Polarization of protons in the optical model

Yu. A. Berezhnoy ^1,, ,
V. P. Mikhailyuk ^2,,

1.
Karazin Kharkov National University, Kharkov 61077, Ukraine
2.
Institute for Nuclear Research, Kiev 03680, Ukraine

Abstract
HTML
Reference
Related

PDF

Abstract：
A development of the optical model for the description of hadron-nucleus scattering is proposed. When describing the behaviour of observables for elastic proton scattering from ⁴⁰Ca nuclei at the energy of 200 MeV the second Born approximation is used. Analytical expressions for the scattering amplitudes as well as for the differential cross section and polarization observables were obtained. The observables calculated in this approach are in reasonable agreement with the available experimental data.
- optical model ,
- Born approximation ,
- intermediate energies ,
- elastic scattering ,
- polarization observables

References

[1]	H. Feshbach, C. E. Porter, V. F. Weiskopf, Phys. Rev., 90:166-167(1953)
[2]	H. Feshbach, C. E. Porter, V. F. Weisskopf, Phys. Rev., 96:448-464(1954)
[3]	H. Feshbach, Ann. Phys. (New York), 5:357-390(1958)
[4]	P. E. Hodgson, Nuclear reactions and nuclear structure, eds. W. Marshall and D.H. Wilinson (Clarendon Rress-Oxford, 1971), p. 661
[5]	H. Feshbach, Ann. Phys. (New York), 281:519-546(2000)
[6]	R. D. Woods, D. S. Saxon, Phys. Rev., 95:577-578(1954)
[7]	A. Dar, B. Kozlowsky Phys. Lett., 20:314-317(1966)
[8]	S. Varma, Nucl. Phys. A, 97:282-288(1967)
[9]	L. Wolfenstein, Annu. Rev. Nucl. Sci., 6:43-76(1956)
[10]	H. Seifert, J. J. Kelly, A. E. Feldman et al, Phys. Rev. C, 47:1615-1635(1993)
[11]	W. T. H. van Oers, Phys. Rev. C, 3:1550-1559(1971)
[12]	A. Nadasen, P. Schwandt, P. P. Singh et al, Phys. Rev. C, 23:1023-1043(1981)
[13]	P. Schwandt, H. O. Meyer, W. W. Jacobs et al, Phys. Rev. C, 26:55-64(1982)
[14]	G. D. Alkhazov, S. L. Belostotsky, A. A. Vorobyov, Phys. Rep., 42:89-144(1978)
[15]	L. Ray, G. W. Hoffmann, W. R. Coker, Phys. Rep., 212:223-328(1992)
[16]	Yu. A. Berezhnoy, V. P. Mikhailyuk, V. V. Pilipenko, Int. J. Mod. Phys. E, 24:1530004-1-1530004-89(2015)

[1]	Wendi Chen , Danyang Pang , Hairui Guo , Tao Ye , Weili Sun , Yangjun Ying . Elastic scattering and total reaction cross sections of ⁶Li examined via a microscopic continuum discretized coupled-channels model. Chinese Physics C, 2024, 48(1): 014101. doi: 10.1088/1674-1137/ad0453
[2]	Guo Yang , Fang-Fang Duan , Kang Wang , Yan-Yun Yang , Zhi-Yu Sun , Valdir Guimarães , Dan-Yang Pang , Wen-Di Chen , Lei Jin , Shi-Wei Xu , Jun-Bing Ma , Peng Ma , Zhen Bai , Ling-Hao Wang , Quan Liu , Hooi-Jin Ong , Bing-Feng Lv , Song Guo , Mukhi Kumar Raju , Xiu-Hua Wang , Rong-Hua Li , Yu-Hu Zhang , Xiao-Hong Zhou , Zheng-Guo Hu , Hu-Shan Xu . Elastic scattering of ¹³C and ¹⁴C isotopes on a ²⁰⁸Pb target at energies of approximately five times the Coulomb barriers. Chinese Physics C, 2024, 48(3): 034001. doi: 10.1088/1674-1137/ad1678
[3]	Si-Na Wei , Zhao-Qing Feng . Elastic scattering based on energy-dependent relativistic Love-Franey model at energies between 20 and 800 MeV. Chinese Physics C, 2023, 47(6): 064104. doi: 10.1088/1674-1137/accb88
[4]	Cui-Hua Rong , Gao-Long Zhang , Lin Gan , Zhi-Hong Li , L. C. Brandão , E. N. Cardozo , M. R. Cortes , Yun-Ju Li , Jun Su , Sheng-Quan Yan , Sheng Zeng , Gang Lian , Bing Guo , You-Bao Wang , Wei-Ping Liu , J. Lubian . The angular distributions of elastic scattering of ^12,13C+Zr. Chinese Physics C, 2020, 44(10): 104003. doi: 10.1088/1674-1137/abab8d
[5]	Fang-Fang Duan , Yan-Yun Yang , Dan-Yang Pang , Bi-Tao Hu , Jian-Song Wang , Kang Wang , Guo Yang , Valdir Guimarães , Peng Ma , Shi-Wei Xu , Xing-Quan Liu , Jun-Bing Ma , Zhen Bai , Qiang Hu , Shu-Ya Jin , Xin-Xin Sun , Jia-Sheng Yao , Hang-Kai Qi , Zhi-Yu Sun . Experimental study of the elastic scattering of ¹⁰Be on ²⁰⁸Pb at the energy of around three times the Coulomb barrier. Chinese Physics C, 2020, 44(2): 024001. doi: 10.1088/1674-1137/44/2/024001
[6]	Jing-Jing Li , Dan-Yang Pang , Yan-Lin Ye , Jian-Ling Lou , Xiao-Fei Yang , Yang Liu , Biao Yang . Improved eikonal approach for charge exchange reactions at intermediate energies. Chinese Physics C, 2019, 43(12): 124102. doi: 10.1088/1674-1137/43/12/124102
[7]	Sergey Dubovichenko , Nassurlla Burtebayev , Albert Dzhazairov-Kakhramanov , Denis Zazulin , Zhambul Kerimkulov , Marzhan Nassurlla , Chingis Omarov , Alesya Tkachenko , Tatyana Shmygaleva , Stanislaw Kliczewski , Turlan Sadykov . New measurements and phase shift analysis of p¹⁶O elastic scattering at astrophysical energies. Chinese Physics C, 2017, 41(1): 014001. doi: 10.1088/1674-1137/41/1/014001
[8]	D. S. Martyanov , E. Sh. Soukhovitskí , R. Capote , J. M. Quesada , S. Chiba . Predicting the optical observables for nucleon scattering on even-even actinides. Chinese Physics C, 2017, 41(9): 094105. doi: 10.1088/1674-1137/41/9/094105
[9]	D. Patel , S. Mukherjee , N. Deshmukh , J. Lubian , Jian-Song Wang , T. Correa , B. K. Nayak , Yan-Yun Yang , Wei-Hu Ma , D. C. Biswas , Y. K. Gupta , S. Santra , E. T. Mirgule , L. S. Danu , N. L. Singh , A. Saxena . Influence of breakup on elastic and α-production channels in the ⁶Li+¹¹⁶Sn reaction. Chinese Physics C, 2017, 41(10): 104001. doi: 10.1088/1674-1137/41/10/104001
[10]	Lei Yang , Cheng-Jian Lin , Hui-Ming Jia , Xin-Xing Xu , Nan-Ru Ma , Li-Jie Sun , Feng Yang , Huan-Qiao Zhang , Zu-Hua Liu , Dong-Xi Wang . Test of the notch technique for determining the radial sensitivity of the optical model potential. Chinese Physics C, 2016, 40(5): 056201. doi: 10.1088/1674-1137/40/5/056201
[11]	Awad A. Ibraheem . Folding model calculations for ⁶He+¹²C elastic scattering. Chinese Physics C, 2016, 40(3): 034102. doi: 10.1088/1674-1137/40/3/034102
[12]	LIU Xue-Wen , KE Hong-Wei , DING Yi-Bing , LI Xue-Qian . Study of the structures of four-quark states in terms of the Born-Oppenheimer approximation. Chinese Physics C, 2015, 39(8): 083103. doi: 10.1088/1674-1137/39/8/083103
[13]	PANG Dan-Yang . Effects of relativistic kinematics in heavy ion elastic scattering. Chinese Physics C, 2014, 38(2): 024104. doi: 10.1088/1674-1137/38/2/024104
[14]	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
[15]	LIU Xin , WANG You-Bao , LI Zhi-Hong , JIN Sun-Jun , WANG Bao-Xiang , LI Yun-Ju , LI Er-Tao , BAI Xi-Xiang , GUO Bing , SU Jun , ZENG Sheng , YAN Sheng-Quan , LIAN Gang , HUANG Wu-Zhen , LIU Wei-Ping . Angular distribution of ⁶He+p elastic scattering. Chinese Physics C, 2012, 36(8): 716-720. doi: 10.1088/1674-1137/36/8/006
[16]	Marc Richard , Xavier Artru , Mokhtar Elchikh , Jacques Soffer , Oleg Teryaev . Model-independent constraints on spin observables. Chinese Physics C, 2009, 33(12): 1153-1158. doi: 10.1088/1674-1137/33/12/017
[17]	Li Yangguo . Anti-proton-Nucleus Inelastic Scatterings at Intermediate Energies. Chinese Physics C, 1994, 18(S2): 193-200.
[18]	Li Yangguo . Antiproton-Nucleus Elastic Scatting at Intermediate Energies. Chinese Physics C, 1993, 17(S2): 199-205.
[19]	Li Yangguo . Relativistic Study of Proton-Nucleus Elastic Scattering at Lower Energies. Chinese Physics C, 1989, 13(S1): 59-68.
[20]	Li Yangguo . Analysis of Antiproton-Nucleus Elastic Scattering. Chinese Physics C, 1988, 12(S3): 261-270.

Access

Get Citation

Yu. A. Berezhnoy and V. P. Mikhailyuk. Polarization of protons in the optical model[J]. Chinese Physics C, 2017, 41(2): 024102. doi: 10.1088/1674-1137/41/2/024102

Yu. A. Berezhnoy and V. P. Mikhailyuk. Polarization of protons in the optical model[J]. Chinese Physics C, 2017, 41(2): 024102. doi: 10.1088/1674-1137/41/2/024102 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2016-05-20

Article Metric

Article Views(1501)
PDF Downloads(23)
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

Polarization of protons in the optical model

Corresponding author: Yu. A. Berezhnoy, yuberezhnoy@karazin.ua

Corresponding author: V. P. Mikhailyuk, yuberezhnoy@karazin.ua

1. Karazin Kharkov National University, Kharkov 61077, Ukraine

2. Institute for Nuclear Research, Kiev 03680, Ukraine

Received Date: 2016-05-20

Available Online: 2017-02-05

Abstract: A development of the optical model for the description of hadron-nucleus scattering is proposed. When describing the behaviour of observables for elastic proton scattering from ⁴⁰Ca nuclei at the energy of 200 MeV the second Born approximation is used. Analytical expressions for the scattering amplitudes as well as for the differential cross section and polarization observables were obtained. The observables calculated in this approach are in reasonable agreement with the available experimental data.

HTML

Reference (16)

Polarization of protons in the optical model

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article