Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration

LEI Yi-An; ZENG Jin-Yan

Chinese Physics C> 2007, Vol. 31> Issue(8) : 731-735

Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration

LEI Yi-An ,
ZENG Jin-Yan ^,

School of Physics, Peking University, Beijing 100871, China

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The analysis of experimental nuclear charge radii R_c indicates that R_c deviates systematically from the A^1/3 law, i.e., R_c/A^1/3 gradually decreases with increasing A, whereas R_c/Z^1/3 remains almost a constant. This statement is also supported by the analysis of a large amount of experimental nulcear giant monopole resonance energy data E_x∝ R^－1. The deviation of nuclear charge radii from the A^1/3 law is basically caused by the isospin independence of A^1/3 law, and the isospin dependence has been partly included in Z^1/3 law. In the frame of nuclear shell model, a microscopic demonstration of the Z^1/3 law is given. The difference in the harmonic oscillator potential strength between proton and neutron (ω_p and ω_n) can be accounted for by the Z^1/3 law. Similar to Wigner's nuclear isobaric multiplet mass equation (IMME), a modified Z^1/3 law for nuclear charge radii is proposed.

References

[1]

. Bohr A, Mottelson B R. Nuclear Structure (Vol. I). Ben-jamin, New York, 19692. Ring P, Schuck P. The Nuclear Many-Body Problem.Springer-Verlag, New York, 19803. Fricke G et al. At. Data Nucl. Data Tables, 1995, 60: 1774. Angeli I. At. Data Nucl. Data Tables, 2004, 87: 1855. ZENG J Y. Acta Phys. Sin., 1957, 13: 357; 1975, 24: 151(in Chinese)(曾谨言.物理学报，1957, 13: 357; 1975, 24: 151)6. Tseng C Y (Zeng J Y), Cheng T S, Yang F C. Nucl. Phys.,1980, A334: 4707. ZENG J Y. Chinese Phys., 1983, 3: 6528. Nerlo-Pomorska B, Pomorski K. Zeit. Phys., 1993, 344:359; 1994, 348: 1699. Warda M, Nerlo-Pomorska, Pomorski K. Nucl. Phys., 1998,A635: 48410. Raman S, Nester C W, Jr, Tikkanen P. At. Data Nucl.Data Tables, 2001, 78: 111. Shlomo S, Youngblood D H. Phys. Rev., 1993, C47: 52912. Youngblood D H, Clark H C, LIU Y W. Phys. Rev. Lett.,1999, 82: 69113. Nilsson S G et al. Nucl. Phys., 1969, A131: 1; Nilsson SG. Mat. Fys. Medd. Dan. Vid. Selsk., 1955, 29: No.1614. ZHANG S Q, MENG J, ZHOU S G et al. Eur. Phys. J,2002, A13: 285; ZHANG S Q, MENG J, ZHOU S G et al.HEP NP, 2002, 26: 252 (in Chinese)(张双全，孟杰，周善贵等.高能物理与核物理，2002, 26: 252)15. Wigner E P. Proc. of the Robert A.Welch Foundation Con-ference on Chemical Research, (Houston, Texas, 1957, ed.W. D. Milikan), 1: 6716. Benenson W, Kashy E. Atomic Masses and FundamentalConstants, 1976, 5: 15417. Benenson W, Kashy E. Rev. Mod. Phys., 1979, 51: 52718. Britz J, Pepe A, Antony M S. At. Data Nucl. Data Table,1998, 69: 125

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LEI Yi-An and ZENG Jin-Yan. Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration[J]. Chinese Physics C, 2007, 31(8): 731-735.

LEI Yi-An and ZENG Jin-Yan. Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration[J]. Chinese Physics C, 2007, 31(8): 731-735. shu

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Received: 2006-11-28
Revised: 1900-01-01

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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

Isospin Dependence of Nuclear Charge Radii and Its Microscopic Demonstration

Corresponding author: ZENG Jin-Yan,

School of Physics, Peking University, Beijing 100871, China

Received Date: 2006-11-28

Accepted Date: 1900-01-01

Available Online: 2007-08-05

Abstract: The analysis of experimental nuclear charge radii R_c indicates that R_c deviates systematically from the A^1/3 law, i.e., R_c/A^1/3 gradually decreases with increasing A, whereas R_c/Z^1/3 remains almost a constant. This statement is also supported by the analysis of a large amount of experimental nulcear giant monopole resonance energy data E_x∝ R^－1. The deviation of nuclear charge radii from the A^1/3 law is basically caused by the isospin independence of A^1/3 law, and the isospin dependence has been partly included in Z^1/3 law. In the frame of nuclear shell model, a microscopic demonstration of the Z^1/3 law is given. The difference in the harmonic oscillator potential strength between proton and neutron (ω_p and ω_n) can be accounted for by the Z^1/3 law. Similar to Wigner's nuclear isobaric multiplet mass equation (IMME), a modified Z^1/3 law for nuclear charge radii is proposed.

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