Lecture 4 ½ The end of the SEMF 9 Nov 2005, Lecture 4.

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Presentation transcript:

Lecture 4 ½ The end of the SEMF 9 Nov 2005, Lecture 4

4.1 Overview 4.2 Shortcomings of the SEMF magic numbers for N and Z spin & parity of nuclei unexplained magnetic moments of nuclei value of nuclear density values of the SEMF coefficients 9 Nov 2005, Lecture 4

4.2 Shortcomings of the SEMF 9 Nov 2005, Lecture 4

4.2 Shortcomings of the SEMF (magic numbers in Ebind/A) SEMF does not apply for A<20 There are deviations from SEMF for A>20 (2,2) 2*(2,2) = Be(4,4) Ea-a=94keV (6,6) (8,8) (10,10) (N,Z) 9 Nov 2005, Lecture 4

N Z Neutron Magic Numbers 4.2 Shortcomings of the SEMF (magic numbers in numbers of stable isotopes and isotones) Proton Magic Numbers Magic Proton Numbers (stable isotopes) Magic Neutron Numbers (stable isotones) 9 Nov 2005, Lecture 4

4.2 Shortcomings of the SEMF (magic numbers in separation energies) Neutron separation energies saw tooth from pairing term step down when N goes across magic number at 82 Ba Neutron separation energy in MeV 9 Nov 2005, Lecture 4

4.2 Shortcomings of the SEMF (abundances of elements in the solar system) Z=50 N=82 Z=82 N=126 iron mountain Complex plot due to dynamics of creation, see lecture on nucleosynthesis no A=5 or 8 9 Nov 2005, Lecture 4

4.2 Shortcomings of the SEMF (other evidence for magic numbers) Nuclei with N=magic have abnormally small n-capture cross sections (they don’t like n’s) First excitation energy Close to magic numbers nuclei can have “long lived” excited states (tg>O(10-6 s) called “isomers”. One speaks of “islands of isomerism” [Don’t make holydays there!] 208Pb 9 Nov 2005, Lecture 4

4.2 Shortcomings of the SEMF (others) spin & parity of nuclei do not fit into a drop model magnetic moments of nuclei are incompatible with drops value of nuclear density is unpredicted values of the SEMF coefficients except Coulomb and Asymmetry are completely empirical 9 Nov 2005, Lecture 4

End of Lecture 4 9 Nov 2005, Lecture 4