CALCULATION OF MUON FINAL PROBABILITIES AFTER THE PROMPT FISSION OF MUONIC ATOM

CAI Chong-Hai; ZHUO Yi-Zhong

Chinese Physics C> 1983, Vol. 7> Issue(2) : 203-216

CALCULATION OF MUON FINAL PROBABILITIES AFTER THE PROMPT FISSION OF MUONIC ATOM

CAI Chong-Hai ^, ,
ZHUO Yi-Zhong

Abstract
HTML
Reference
Related

PDF

Abstract：
Based on the variational method and using two classes (exponential and square) nuclear charge distributions and two classes (Gaussian and exponential) trial wave functions the 1s and 2p energy levels of muonic atoms are calculated and compared with the accurate calculation^[1]. Then we use the LCAO (Linear Combination of Atomic Orbitals) to calculate the foure energy levels of Muon in the two centre nuclear extended coulombian potential, and use the PSS (Purterbation of Stationary States) to solve the time-dependent Schrödinger equation and obtain the final Muon probabilities for these four states. We find that after the prompt fission of Muonic atom. Muon is mainly attached on the 1s state of the heavy fragment, only 3.8—5.1% of the probabilities are attached on 1s state of the light fragment, and 0.7—0.9% and ~0.1% on the 2p states of the heavy fragment and the light fragment respectively. These results are in agreement with those of references [2], [3], and also in accordance with the experimental results within the experimental errors.

References

[1]

G. A. Rinker et al., At. Data and Nucl. Data Table, 20(1977), 143.[2] 马中玉等,原子核物理,4(1982), 97.[3] J. O. Raemussen et al, 原子核物理，2 (1980), 107; Z. Y. Ma et al., Nucl. Phys., A348 (1980), 446.[4] J. A. wheeler, Rev. Mod. Phys., 21 (1949), 133.[5] D. F. Zaretsky et al., Proc. Second United Nations Int. Conf. on Peaceful Usea of Atomic Energy (Geneva 1985) Vol. 15, p. 175.[6] D. F. Zaretsky et al., Nucl. Phys., 14 (1960), 540; 28(1961), 177.[7] Dz. Ganzoring et al., European Organization for Nuclear Research Preprint CERN-EP/80-86 (3 June 1980).[8] W. V. Schroder et al., Phys. Rev. Lett., 43 (1979),672.[9] S. Polikanov, IAEA SM-241/El, Symp. on Physics and Chemistry of Fission, Jülick, FRG, 1979, Vol. 2, p. 3.[10] D. Goulard and H. Primakoff, Phys. Rev., C10 (1974), 2034.[11] P. Olanders et al., Phys. Lett., 90B (1980), 193.[12] J. R. Nix, Private Comunication.

[1]	Weibing Deng , Ding Lu , Jiying Zhang , Mingmei Xu , Levchenko Boris , . Entropy and Equilibrium Property of QCD-Instanton Induced Final State in Deep-Inelastic Scattering. Chinese Physics C, 2008, 32(1): 13-17. doi: 10.1088/1674-1137/32/1/003
[2]	XU Ming-Mei , LIU Lian-Shou . A Monte Carlo Study on the Reconstruction Method for Instanton in Deep-Inelastic e⁺p Scattering. Chinese Physics C, 2007, 31(2): 119-124.
[3]	Medina Ablikim , DU Dong-Sheng , YANG Mao-Zhi . Final State Interactions in D→PP Decays. Chinese Physics C, 2003, 27(9): 759-766.
[4]	LI Jing-Wu , YANG Mao-Zhi , DU Dong-Sheng . D→PV Decays with Final State Interactions. Chinese Physics C, 2003, 27(8): 665-672.
[5]	XU Guo-Fa , TONG Guo-Liang , HUANG Xiu-Ping , LV Feng , YU Guo-Wei . Analysis of Φ Decay to 3γ Final States with the TELESIS. Chinese Physics C, 2002, 26(5): 462-470.
[6]	BAO Shang-Lian , LIU Wen-Long , WEN Chen-Lin , FAN Tie-Shuan , , . Measurement of ²⁴⁸Cm/²⁵²Cf Cf Spontaneous Prompt Fission Neutron Spectrum. Chinese Physics C, 2001, 25(4): 304-308.
[7]	YUAN ShuangGui , YANG WeiFan , XU YanBing , PAN QiangYan , HE JianJun , XIONG Bing , LI YingJun . Observation of β-Delayed Fission from ²³⁰Ac. Chinese Physics C, 2000, 24(12): 1191-1193.
[8]	Zhang Xueqian , Xu Shuwei , Shen Cuihua , Zhang Juping , Yuan Shanggui . Calculation of the Inertia Tensor for Symmetric Fission. Chinese Physics C, 1997, 21(1): 58-61.
[9]	Wu Heyu , Dai Guangxi , He Zhiyong , Qi Yujin , Li Zuyu , Jin Genming , Luo Qingzheng , Duan Limin , Wen Wanxin , Zhang Baoguo . Evolution from Cascade Fission to Prompt Multifragmentation with Increasing Excitation Energy. Chinese Physics C, 1995, 19(8): 739-747.
[10]	Han Hongyin , Li Anli , Chen Jinhua , Huang Shengnian . Behaviour of Prompt Gamma-Ray Emission in ColdFission of ²⁵²Cf. Chinese Physics C, 1995, 19(1): 8-15.
[11]	Zhang Yang , Liu Lianshou . The Clustered Production of Final Particles and ForwardBackward Correlation in High Energy pp Collision. Chinese Physics C, 1994, 18(4): 326-333.
[12]	Liu Ximing . The Final State Multiplicity Rates of η and η＇IN e⁺e^－ Annihilation at High Energy. Chinese Physics C, 1994, 18(12): 1091-1095.
[13]	Zhong Yunxiao , Hu Jimin . Fission Probability Calculation by Solving Fokker-Planck Equation With Variation Method. Chinese Physics C, 1994, 18(4): 340-346.
[14]	CHEN Xin-Yi , HU Ji-Min . Calculation of Nuclear Fission Using a Macroscopic Model. Chinese Physics C, 1991, 15(3): 279-283.
[15]	XIE Qu-Bing , LIU Xi-Ming . THE YIELDS OF FINAL PARTICLES IN HIGH ENERGY HADRON REACTION. Chinese Physics C, 1987, 11(4): 476-482.
[16]	ZHANG Chang-Chun . RECENT MEASUREMENTS OF TWO PHOTON MUON PAIR PROCESS FROM MARK J. Chinese Physics C, 1986, 10(4): 400-411.
[17]	Wang Ming-zhong , Zheng Xi-te , Wang Ke-lin , Xian Ding-chang , Zhang Zheng-gang . ON THE PROBABILITY INTERPRETATION OF THE BOUND STATE WAVE FUNCTION OF THE MESON. Chinese Physics C, 1980, 4(4): 433-439.
[18]	WANG ZHENG-DA , GU JIN-NAN , YU CHAO-FAN , LUO SHI-YU . INTRODUCTION OF THE CONCEPT OF THE DEPAIRING PROBABILITY TO EXPLORE NUCLEAR HIGH SPIN STATES. Chinese Physics C, 1979, 3(3): 348-354.
[19]	HU JI-MIN , WANG ZHENG-SHING . THE EVAPORATION MODEL THEORY FOR THE FISSION PROMPT NEUTRON SPECTRUM OF HEAVY NUCLEI. Chinese Physics C, 1979, 3(6): 772-783.
[20]	HE ZE-JUN , LEE PAN-LIN . THE MICROSCOPIC CALCULATION OF THE STATISTICAL THEORY OF NUCLEAR FISSION. Chinese Physics C, 1978, 2(4): 350-349.

Access

Get Citation

CAI Chong-Hai and ZHUO Yi-Zhong. CALCULATION OF MUON FINAL PROBABILITIES AFTER THE PROMPT FISSION OF MUONIC ATOM[J]. Chinese Physics C, 1983, 7(2): 203-216.

CAI Chong-Hai and ZHUO Yi-Zhong. CALCULATION OF MUON FINAL PROBABILITIES AFTER THE PROMPT FISSION OF MUONIC ATOM[J]. Chinese Physics C, 1983, 7(2): 203-216. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2196)
PDF Downloads(469)
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

CALCULATION OF MUON FINAL PROBABILITIES AFTER THE PROMPT FISSION OF MUONIC ATOM

Corresponding author: CAI Chong-Hai,

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1983-04-05

Abstract: Based on the variational method and using two classes (exponential and square) nuclear charge distributions and two classes (Gaussian and exponential) trial wave functions the 1s and 2p energy levels of muonic atoms are calculated and compared with the accurate calculation^[1]. Then we use the LCAO (Linear Combination of Atomic Orbitals) to calculate the foure energy levels of Muon in the two centre nuclear extended coulombian potential, and use the PSS (Purterbation of Stationary States) to solve the time-dependent Schrödinger equation and obtain the final Muon probabilities for these four states. We find that after the prompt fission of Muonic atom. Muon is mainly attached on the 1s state of the heavy fragment, only 3.8—5.1% of the probabilities are attached on 1s state of the light fragment, and 0.7—0.9% and ~0.1% on the 2p states of the heavy fragment and the light fragment respectively. These results are in agreement with those of references [2], [3], and also in accordance with the experimental results within the experimental errors.

HTML

Reference (1)

CALCULATION OF MUON FINAL PROBABILITIES AFTER THE PROMPT FISSION OF MUONIC ATOM

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article