Random Interactions in Nuclei and Extension of 0<SUP>+</SUP> Dominance in Ground States to Irreps of Group Symmetries

V.K.B.Kota

Chinese Physics C> 2004, Vol. 28> Issue(12) : 1307-1312

Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries

V.K.B.Kota ^,

Physical research laboratory,ahmedabad 380009,india

Abstract
HTML
Reference
Related

PDF

Abstract：
random one plus two–body hamiltonians invariant with respect to o(n_1)o(n_2)symmetry in the group–subgroup chains u(n )u(n_1)u(n_2)o(n_1)o(n_2)and u(n )o(n )o(n_1)o(n_2) of a variety of interacting boson models are used to investigate the probability of occurrence of a given(ω_1ω_2)irreducible representation(irrep)to be the ground state in even–even nuclei;[ω_1] and [ω_2] are symmetric irreps of o(n_1) and o(n_2) respectively. employing a 500 member random matrix ensemble for n boson systems (with n=10–25),it is found that for n_1,n_2≥3 the (ω_1ω_2)=(00) irrep occurs with～50% and (ω_1ω_2)=(n0) and (0n) irreps each with～25% probability. similarly,for n_1≥3,n_2=1,for even n the ω_1=0 occurs with～75% and ω_1=n with～25% probability and for odd n,ω_1=0 occurs with～50% and ω_1=1,n each with～25% probability. an extended hartree–bose mean–field analysis is used to explain all these results.

References

[1]

.Johnson C W, Bertsch G F,Dean D J. Phys. Rev.Lett. , 1998, 80: 27492. Bijker R,Frank A. Phys. Rev. Lett . , 2000, 84: 4203. Kota V K B. Phys. Rep. , 2001, 347: 2234. Zelevinsky V, Volya A. Phys. Rep. , 2004, 391: 3115. ZHAO Y M, Arima A,Yoshinaga N. Phys. Rep. , 2004, 400: 16. Kota V K B, Kar K. Phys. Rev. E, 2002, 65: 026130; Pluhar Z, Weidenm..ller H A. Ann. Phys. ( N. Y. ) , 2002, 297: 344; Chau P H-T et al . Phys. Rev. C, 2002, 66: 0613027. Daley H J, Iachello F. Ann. Phys. (N.Y. ) , 1986, 167: 738. Iachello F, Arima A. The Interacting Boson Model . Cambridge. Cam..bridge University Press, 19879. Rowe D J and Iachello F. Phys. Lett. B, 1983, 130: 23110. Kota V K B et al. J. Math. Phys. , 1987, 28: 1644; Devi Y D, Kota V K B. Z. Phys. A, 1990, 337: 1511. Engel J, Iachello F. Phys. Rev. Lett. , 1985, 54: 1126; Kusnezov D. J.Phys. A, 1990, 23: 5673; JI H Y et al. Nucl. Phys. A, 1999, 658: 19712. LONG G L et al. Science in China A, 1998, 41: 129613. Bijker R, Iachello F, Ann. Phys. (N.Y. ) , 2002, 298: 33414. Kota V K B. Ann. Phys. (N.Y. ) , 1998, 265: 10115. Kota V K B. Ann. Phys. ( N. Y. ) , 2000, 280: 1,Van Isacker P, Warner D D. Phys. Rev. Lett. , 1997, 78: 326616. Kota V K B. Pramana..J. Phys. , 2003, 60: 5917. Kusnezov D. Phys. Rev. Lett. , 2000, 85: 377318. Bijker R, Frank A. Phys. Rev. , 2001, C64: 061303; Phys. Rev. ,2002 C65: 04431619. Kota V K B. J. Math. Phys. , 1997, 38: 663920. Bijker R. preprint, 2003, nucl-th/030306921. Dukelsky J et al . preprint, 2003, nucl-th/031003122. Leviatan A. Ann. Phys. ( N. Y. ) , 1987, 179: 201; Dukelsky J et al. Nucl . Phys. , 1984, A425: 9323. Kota V K B. In: Proc. of the Symp. on Symmet ries in Science XIII.eds. Gruber B,Marmo G, Yoshinaga N. Dordrecht (The Netherlands) .Kluwer Academic publishers, 2004,P. 265;Van Isacker P. Rep. Prog.Phys. , 1999, 62: 1661

[1]	Jian-Rong Zhang , Jing-Lan Zou , Jin-Yun Wu . 0⁺ tetraquark states from improved QCD sum rules: delving into X(5568). Chinese Physics C, 2018, 42(4): 043101. doi: 10.1088/1674-1137/42/4/043101
[2]	Jamil Aslam . B→0⁺(1⁺)+ missing energy in unparticle physics. Chinese Physics C, 2009, 33(5): 332-339. doi: 10.1088/1674-1137/33/5/003
[3]	WANG Ju-Xia , YANG Zhi-Yong , AN Yu-Ying . Quantum Information Transfer in the Process of Coupled Atoms Interacting with Cavity Fields. Chinese Physics C, 2007, 31(2): 204-208.
[4]	SHEN Peng-Nian , GUO Feng-Kun , JIANG Huan-Qing , ZOU Bing-Song . D₀ Non-strange 0⁺ Heavy Mesons Have Molecular Structure in the Heavy Chiral Unitary Approach. Chinese Physics C, 2007, 31(9): 870-873.
[5]	LIU Yu-Xin , MU Liang-Zhu , CHANG Lei , YUAN Wei . Phase Structure and Phase Transition of Nucleus and Strong Interacting Matter. Chinese Physics C, 2006, 30(S2): 29-34.
[6]	BAI Hong-Bo , ZHANG Jin-Fu , LI Yan-Song , ZHOU Xian-Rong , LIU Feng-Ying . E0 Transition as Another Indicator for Nuclear Shape Transitions and an Application to ^102—110Pd. Chinese Physics C, 2004, 28(3): 280-283.
[7]	MENG Jie , BAN Shu-Fang , LI Jun , LONG Wen-Hui , LU Hong-Feng , SHEN Gang , ZHANG Shuang-Quan , ZHANG Shi-Sheng , ZHANG Wei , ZHOU Shan-Gui , . New Effective Interactions,New Symmetry and New States in Atomic Nuclei. Chinese Physics C, 2004, 28(12): 1291-1296.
[8]	YU You-Wen , ZHANG Zong-Ye . Ω+Ω→(ΩΩ)(0+) Scalar Meson Cross Section Calculation. Chinese Physics C, 2004, 28(12): 1261-1263.
[9]	YU You-Wen , WANG Ping , ZHANG Zong-Ye , CHING Cheng-Rui , CHU Lian-Yuan , . A Two Step Mechanism for Forming Dibaryon(ΩΩ)Jπ=0+. Chinese Physics C, 2002, 26(1): 46-51.
[10]	ZHANG Zong-Ye , YU You-Wen , QING Cheng-Rui , HE Zuo-Xiu , LU Zhong-Dao . Study of a New Dibaryon (ΩΩ)J^π=0⁺. Chinese Physics C, 2000, 24(S1): 91-94.
[11]	BES Collaboration . Measurement of the Branching Ratios of τ^±→π^±+nπ⁰+ν_τ(n=0,1,2) decays. Chinese Physics C, 1997, 21(3): 193-200.
[12]	LIU Yu-Xin , LONG Gui-Lu , SUN Hong-Zhou . Staggering Phenomenon in Nuclear Energy Spectrum and Quadrupole-Quadrupole Interaction. Chinese Physics C, 1991, 15(3): 245-250.
[13]	CHEN Xin-Yi , WU Shi-Shu . 1s-0d EFFECTIVE INTERACTIONS OF ISOSPIN TRIPLET AND ¹⁸Ne-¹⁸O COULOMB DISPLACEMENT ENERGIES. Chinese Physics C, 1989, 13(1): 50-55.
[14]	HUO Yu-Kun , PAN Zheng-Ying . INTERACTIONS OF NUCLEI AND LASER(1) ——LASER INDUCED ISOMERIC TRANSITIONS AND GAMMA LASER. Chinese Physics C, 1989, 13(7): 664-669.
[15]	HUO Yu-Kun , PAN Zheng-Ying . INTERACTIONS OF NUCLEI AND LASER (2) ——LASER ENHANCED EFFECTIVE NEUTRON WIDTH FOR NUCLEAR RESONANCE. Chinese Physics C, 1989, 13(9): 856-859.
[16]	JIANG Guo-Rong , JIN Xing-Nan . THE Λ-α EFFECTIVE INTERACTION AND INVESTIGATION ON THE HYPERNUCLEI ⁶_ΛΛHe AND ⁹_ΛBe. Chinese Physics C, 1987, 11(2): 226-230.
[17]	LI Xian-Yin , YAO Shi-Huai . A MAPPING BETWEEN THE SU₆ SUBSPACE IN THE INTERACTING BOSON MODEL OF NUCLEI AND THE SU₆ SUBSPACE OF D.JANSSEN ET AL.. Chinese Physics C, 1985, 9(4): 476-482.
[18]	YANG Ze-Sen(Tse-sen Yang) . DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL. Chinese Physics C, 1985, 9(3): 341-348.
[19]	Qin Ke-yu . THE INTERACTION OF A HIGH ENERGETIC PROTON WITH A NUCLEUS—THE RELATION OF THE PRODUCED PARTICLES WITH THE NUCLEAR MASS NUMBER A. Chinese Physics C, 1980, 4(3): 344-348.
[20]	YU YOU-WEN . THE INTERACTION OF ANTINUCLEON WITH NUCLEUS. Chinese Physics C, 1979, 3(6): 676-680.

Access

Get Citation

V.K.B.Kota. Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries[J]. Chinese Physics C, 2004, 28(12): 1307-1312.

V.K.B.Kota. Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries[J]. Chinese Physics C, 2004, 28(12): 1307-1312. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-11-29
Revised: 1900-01-01

Article Metric

Article Views(4355)
PDF Downloads(699)
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

Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries

Corresponding author: V.K.B.Kota,

Physical research laboratory,ahmedabad 380009,india

Received Date: 2003-11-29

Accepted Date: 1900-01-01

Available Online: 2004-12-05

Abstract: random one plus two–body hamiltonians invariant with respect to o(n_1)o(n_2)symmetry in the group–subgroup chains u(n )u(n_1)u(n_2)o(n_1)o(n_2)and u(n )o(n )o(n_1)o(n_2) of a variety of interacting boson models are used to investigate the probability of occurrence of a given(ω_1ω_2)irreducible representation(irrep)to be the ground state in even–even nuclei;[ω_1] and [ω_2] are symmetric irreps of o(n_1) and o(n_2) respectively. employing a 500 member random matrix ensemble for n boson systems (with n=10–25),it is found that for n_1,n_2≥3 the (ω_1ω_2)=(00) irrep occurs with～50% and (ω_1ω_2)=(n0) and (0n) irreps each with～25% probability. similarly,for n_1≥3,n_2=1,for even n the ω_1=0 occurs with～75% and ω_1=n with～25% probability and for odd n,ω_1=0 occurs with～50% and ω_1=1,n each with～25% probability. an extended hartree–bose mean–field analysis is used to explain all these results.

HTML

Reference (1)

Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries

Corresponding author: V.K.B.Kota,

HTML

目录

Random Interactions in Nuclei and Extension of 0+ Dominance in Ground States to Irreps of Group Symmetries

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Random Interactions in Nuclei and Extension of 0+ Dominance in Ground States to Irreps of Group Symmetries

Corresponding author: V.K.B.Kota,

HTML

目录

Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries

Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries