GOLDBERGER-TREIMAN RELATION AND NUCLEON'S MEAN SQUARE RADIUS OF STRONG INTERACTION IN THE SKYRME MODEL

LI Bing-An

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2024年10月30日

Chinese Physics C> 1987, Vol. 11> Issue(3) : 426-429

GOLDBERGER-TREIMAN RELATION AND NUCLEON'S MEAN SQUARE RADIUS OF STRONG INTERACTION IN THE SKYRME MODEL

LI Bing-An ^,

Institute of High Energy Physics, Academia Sinica, Beijing, China and Fundamental Physics Center, Univ. of Science and Technology of China, Hefei, Anhui, China

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Abstract：
In this letter it is shown that even in m_π≠0 case the Goldberger-Treiman relation is still hold in the Skyrme model. The mean square radius of strong interaction of nucleon <r²>_s^1/2 is computed in the Skyrme model.

References

[1]

T. H. R. Skyrme, Proc. Roy. Soc., A260(1961), 127.N. K. Pak and H. C. Tze, Ann. Phys, 117(1979), 164.A. P. Balachandran, V. P. Nair, A. G. Rajeev, and A. Stern, Phys. Rev., D27(1983), 1153.[2] E. Witten, Nucl. Phys., B223(1983), 433.[3] G. Adkins, C. Nappi, and E. Witteri, Nucl. Phys., B228(1983), 552.[4] G. Adkins and C. Nappi, Nucl. Phys., B233(1984), 109.[5] Bing-an Li and Qi-xing Shen, Commun., in Theor. Phys., 6(1986), 65.

[1]	YAN Mu-Lin . X(1835) as Proton-Antiproton Bound State in Skyrme Model. Chinese Physics C, 2006, 30(11): 1141-1150.
[2]	YAO Jiang-Ming , ZHONG Xian-Hui , LI Lei , NING Ping-Zhi . The Primary Investigation of Ξ-N Skyrme Force Parameters. Chinese Physics C, 2005, 29(2): 105-108.
[3]	Soojae Im , MENG Jie , ZHOU Shan-Gui , YANG Si-Chun , LONG Wen-Hui . Skyrme-Hartree-Fock Description of the Nuclear Structure in Ca Isotopes (Ⅰ)Binding Energy and Shell Effects,Radii and Density Distributions. Chinese Physics C, 2001, 25(4): 322-328.
[4]	Shen Yaosong , Ren Zhongzhou . Skyrme-Hartree-Fock Calculation on Exotic Nuclei. Chinese Physics C, 1997, 21(S2): 53-62.
[5]	Shen Yaosong , Ren Zhongzhou . Skyrme-Hartree-Fock Calculation on Exotic Nuclei. Chinese Physics C, 1997, 21(3): 248-256.
[6]	LIN Jin-HU , ZHANG Shou , ZHENG Zhe-Zhu . The Influence on the Baryon and Its Resonances From a New Additional Mass Term in the Skyrme Model. Chinese Physics C, 1993, 17(1): 38-43.
[7]	LI Tie-Zhong . One Problem in the Skyrme Model and its Simple Discussion. Chinese Physics C, 1993, 17(9): 807-810.
[8]	SHEN Peng-Nian , ZHANG Zong-Ye , YU You-Wen . CORRELATED EFFECT ARISEN FROM EXCITATIONS OF SIX-QUARK CLUSTERS IN NUCLEON-NUCLEON INTERACTION. Chinese Physics C, 1990, 14(10): 900-906.
[9]	SHEN Qi-Xing , LI Bing-An . πN SCATTERING PHASE SHIFTS IN A MODIFIED SKYRME MODEL. Chinese Physics C, 1989, 13(2): 128-134.
[10]	YANG Xin-Hua , CHENG Tan-Sheng , ZHONG Yu-Shu . N-N INTERACTION IN THE DEFORMED MESON CLOUD BAG MODEL. Chinese Physics C, 1988, 12(2): 211-213.
[11]	WEN Jia-Ru , HUANG Tao . THE COMPOSITE SOLITON SOLUTION WITH BARYON NUMBER B=0 BUT HOPF INDEX H=1 IN THE SKYRME MODEL. Chinese Physics C, 1988, 12(1): 34-41.
[12]	YU You-Wen , SHEN Peng-Nian . STUDIES OF ρ AND K* MESONS DECAY BY THE ONEGLUON-EXCHANGE QUARK-ANTIQUARK PAIR CREATION MODEL. Chinese Physics C, 1988, 12(1): 137-139.
[13]	GAO Xiao-Chun , WANG Yong . THE STUDY OF A SOLITON SOLUTION IN THE SKYRME MODEL WITH B=2. Chinese Physics C, 1988, 12(3): 341-350.
[14]	LI Bing-An , SHEN Qi-Xing . A MODIFIED SKYRME MODEL. Chinese Physics C, 1988, 12(5): 616-621.
[15]	LI Bing-An . GOLDBERGER-TRELMAN RELATION AND NUCLEON'S MEAN SQUARE RADIUS OF STRONG INTERACTION IN THE SKYREM MODEL. Chinese Physics C, 1988, 12(2): 269-272.
[16]	ZENG Xin-Chuan , HU Shi-Ke . THE STUDY OF BARYON STRUCTURE IN THE SKYRME MODEL. Chinese Physics C, 1987, 11(4): 469-475.
[17]	LIN Jin-Hu , ZHENG Zhe-Zhu . THE SOFT-PION SKYRME MODEL AND STATIC PROPERTIES OF NUCLEONS. Chinese Physics C, 1987, 11(1): 32-37.
[18]	YUAN Zhu-Shu , SHEN Yong-Ping , WANG Yan-Seng , QIU Zhi-Hong , . A MICROSCOPIC STUDY OF THE LOW-LYING LEVELS OF ¹⁸O AND ¹⁸F WITH THE SKYRME INTERACTION. Chinese Physics C, 1985, 9(5): 586-593.
[19]	SHEN Qing-Biao , LI Zhu-Xia , SHI Xiang-Jun , TIAN Ye , ZHUO Yi-Zhong . off-shell SINGLE-PARTICLE POTENTIAL AND EFFECTIVE MASS CALCULATION WITH SKYRME INTERACTIONS IN NUCLEAR MATTER. Chinese Physics C, 1985, 9(2): 220-228.
[20]	YUAN TU-NAN , TU TUNG-SHENG . STRONG INTERACTION AND CHIRAL GAUGE FIELD. Chinese Physics C, 1978, 2(6): 481-487.

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LI Bing-An. GOLDBERGER-TREIMAN RELATION AND NUCLEON'S MEAN SQUARE RADIUS OF STRONG INTERACTION IN THE SKYRME MODEL[J]. Chinese Physics C, 1987, 11(3): 426-429.

LI Bing-An. GOLDBERGER-TREIMAN RELATION AND NUCLEON'S MEAN SQUARE RADIUS OF STRONG INTERACTION IN THE SKYRME MODEL[J]. Chinese Physics C, 1987, 11(3): 426-429. shu

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

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沈阳化工大学材料科学与工程学院沈阳 110142

GOLDBERGER-TREIMAN RELATION AND NUCLEON'S MEAN SQUARE RADIUS OF STRONG INTERACTION IN THE SKYRME MODEL

LI Bing-An ^,

Corresponding author: LI Bing-An,

Institute of High Energy Physics, Academia Sinica, Beijing, China and Fundamental Physics Center, Univ. of Science and Technology of China, Hefei, Anhui, China

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-06-05

Abstract: In this letter it is shown that even in m_π≠0 case the Goldberger-Treiman relation is still hold in the Skyrme model. The mean square radius of strong interaction of nucleon <r²>_s^1/2 is computed in the Skyrme model.