By End（G） and hEnd（G） we denote the set of endomorphisms and half-strong endomorphisms of a graph G respectively. A graph G is said to be E-H-unretractive if End（G） = hEnd（G）. A general characterization of an ...By End（G） and hEnd（G） we denote the set of endomorphisms and half-strong endomorphisms of a graph G respectively. A graph G is said to be E-H-unretractive if End（G） = hEnd（G）. A general characterization of an E-H-unretractive graph seems to be difficult. In this paper, bipartite graphs with E-H-unretractivity are characterized explicitly.展开更多
The ground state properties of Ds(Z=110) isotopes(N=151-195) are studied in the framework of the relativistic mean field(RMF) theory with the effective interaction NL-Z2.The pairing correlation is treated within the c...The ground state properties of Ds(Z=110) isotopes(N=151-195) are studied in the framework of the relativistic mean field(RMF) theory with the effective interaction NL-Z2.The pairing correlation is treated within the conventional BCS approximation.The calculated binding energies are consistent with the results from finite-range droplet model(FRDM) and Macroscopic-microscopic method(MMM).The quadrupole deformation,α-decay energy,α-decay half-live,charge radius,two-neutron separation energy and single-particle spectra are analyzed for Ds isotopes to find new characteristics of superheavy nuclei(SHN).Among the calculated results it is rather distinct that the isotopic shift appears evidently at neutron number N=184.展开更多
基金the National Natural Science Foundation of China （No. 10671122）.Acknowledgement The author would like to thank Professor Dr. U.Knauer for valuable advice and helpful comments on this paper.
文摘By End（G） and hEnd（G） we denote the set of endomorphisms and half-strong endomorphisms of a graph G respectively. A graph G is said to be E-H-unretractive if End（G） = hEnd（G）. A general characterization of an E-H-unretractive graph seems to be difficult. In this paper, bipartite graphs with E-H-unretractivity are characterized explicitly.
基金Supported by the National Natural Science Foundation of China under Grant Nos. 10875152,10775061,10825522,and 10975064,11105035,11075066,and 11175074the Fundamental Research Funds for the Central Universities under Grant No. lzujbky-2012-5
文摘The ground state properties of Ds(Z=110) isotopes(N=151-195) are studied in the framework of the relativistic mean field(RMF) theory with the effective interaction NL-Z2.The pairing correlation is treated within the conventional BCS approximation.The calculated binding energies are consistent with the results from finite-range droplet model(FRDM) and Macroscopic-microscopic method(MMM).The quadrupole deformation,α-decay energy,α-decay half-live,charge radius,two-neutron separation energy and single-particle spectra are analyzed for Ds isotopes to find new characteristics of superheavy nuclei(SHN).Among the calculated results it is rather distinct that the isotopic shift appears evidently at neutron number N=184.
