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Volume 2013 Issue No.3, Dt.23 March 2013 Time: 1h08m P.M.
CALCULATIONS ON THE ENERGY LEVELS SPACINGS OF F18 NUCLEUS
{Ph. D. Thesis KLN data A1 to A9; p.01 to p. 011 and p.1 to p.58 and p.80 to p.84 }
Ph. D Thesis (1964) of Andhra University, Waltair
by
Professor Dr Kotcherlakota Lakshmi Narayana
{Retd. Prof. of Phys, SU, Kolhapur}
17-11-10, Narasimha Ashram, Official Colony, Maharanipeta. P. O, Visakhapatnam -530002.
Mobile No: +919491902867 & +919542717723
Mobile No: +919491902867 & +919542717723
Contents of PART 1 (page 1) of Chapter 1(page 2) and
Chapter 11(page 16)
ABSTRACT
The three nuclei with mass number 18 are O 18 having two neutrons and F 18 with a neutron and a proton, Ne 18 with two protons in 1 d 5/2 state outside the completely filled shell. A great deal of experimental data is also available on the spectra of O 18 and F 18. In view of this the author has undertaken the theoretical calculations on the F 18 nucleus. These are presented herein. The purpose of the present investigation is (i) to study the effect of a modified Gaussian potential on the entire energy level spacing’s of F 18 nucleus (ii) to study the dependence of this spectrum on the exchange character by making use of the Serber force and also the Rosenfeld mixture (iii) to determine the F 18 – ß+ - O 18 transition probability with the modified wave functions in order to see whether these would be a better agreement and also to have a comparative study with the energy level spectrum deduced previously. In all cases the strength of the potential used is 70.8 MeV. The various states characterized by J, the total angular momentum and T, the total isotopic spin (i.e. assuming jj coupling) arising out of six different configurations
(1d5/2)2 , (1d5/2 1d3/2), (1d3/2)2,
(2s 1/2)2, (1d5/2 2s1/2 ), (1d3/2 2s 1/2)
for the two nucleons are worked out based on the Pauli’s exclusion principle( Mayer 1955, White Atomic Spectra). The classification of the states for the (1d5/2)2 configuration is illustrated below. Table – 1 lists these. Table-8 gives a complete list of interaction matrices for both the Serber and Rosenfeld forces.
Title of the Ph. D. Thesis by K L Narayana
DECLARATION BY ME
List of Papers of the Ph. D Thesis by
K. L. Narayana
Preface p.i
Preface p.ii
Preface p.iii
Preface p.iv
Preface p.v
AU Declaration of Ph. D. Award to
K L Narayana in 1965
CONTENTS p.1 to p.173 List
CONTENTS (CONT'D) APPENDICES
Page 1
Page 2
Page 3
Page 4
Page 5
Page 6
Page 7
Page 8
Page 9
Page 10
Page 11
Page 12
Page 13
Page 14
Page 15
Page 16
Page 17
Page 18
Page 19
Page 20
Page 21
Page 22
Page 23
Page 24
Page 25
Page 26
Page 27
Page 28
Page 29
Page 30
Page 31
Page 32
Page 33
Page 34
Page 35
Page 36
Page 37
Page 38
Page 39
Page 40
Page 41
Page 42
Page 43
Page 44
Page 45
Page 46
Page 47
Page 48
Page 49
Page 50
Page 51
Page 52
Page 53
Page 54
Page 55
Page 56
Page 57
Page 58
Page 80
Page 81
Page 82
Page 83
Page 84
CONCLUSIONS
Tables 2 and 3 give the values of the individual interaction energies with Serber and also with the Rosenfeld type of exchange forces on the basis of jj-coupling shell model assuming the model modified Gaussian potential. The difference in level spacing’s between those obtained by Redlich and in the present investigation may be attributed to the difference in the radial shape of the two nucleon potential used here.
ACKNOWLEDGEMENT
The main contents of the paper pages A1 to A9; p.01; p.011 and p.1 to p.58 references listed on p.80 to p.84,forms a part of my Ph. D (Andhra) Thesis during the years 1961-1964 of Andhra University, Waltair from the laboratories of Late Prof. K. R. Rao, D.Sc. ( Madras) D.Sc. (London) to whom I am deeply indebted. Most of the calculations were evaluated at my residence
NARASIMHA ASHRAM, Maharanipeta, Official Colony, during night time and after attending office hours 10 A.M to 5 P.M at Andhra University, Waltair.
The author is grateful to Prof B. H. Flowers, F. R. S. for sending an advance copy of his paper on F 18 and for his helpful suggestions in the preparation of the author’s paper on the same subject for its final publication.
Personal attention of Late Prof K R Rao, D.Sc. (Madras) D.Sc. (London) in enlisting the page numbers and other corrections in my Ph.D Thesis are an unforgettable memory cherished in my life time.
REFERENCESThe author is grateful to Prof B. H. Flowers, F. R. S. for sending an advance copy of his paper on F 18 and for his helpful suggestions in the preparation of the author’s paper on the same subject for its final publication.
Personal attention of Late Prof K R Rao, D.Sc. (Madras) D.Sc. (London) in enlisting the page numbers and other corrections in my Ph.D Thesis are an unforgettable memory cherished in my life time.
RELEVANT ARTICLES BY THE PRESENT AUTHOR
1. T. Berggren, T. Erickson, K. L. Narayana,” A
single particle
excitable core model for Li 6 nucleus“
excitable core model for Li 6 nucleus“
Arkiv Fur Fys (Sweden), Vol.30,
p.545 , 1965
2. K. L. Narayana and C. I. Patil, “On the Energy
level
structure of the 10 B nucleus”, Acta Physica Polonica,
Vol. B8, No.4, p.559-572, 1977. &
Paper No.78, Nucl. & Solid State Physics
Sympsium, Vol.17-B, Bombay, 1974.
3. K. L. Narayana, “ Dual core Model for He 3 ”,
Current Science, Vol.38, p.487, 1969.
4. K. L. Narayana, “ Dual Core model for 10B nucleus”,
Shivaji University Journal, Vol.4, No.8, p.73-75, 1971.
5. K. L.Narayana, “On the low lying
energy levels of O 18
nucleus”, Current Science, Vol.37, p.132, 1968.
6. K. L.Narayana, “On the low lying
even parity levels
of F 18 nucleus”,
Current Science, Vol.3, p.38-40, Jan 1966.
7. K. L. Narayana, “The Uranium
qudrupole moment
based on a dual core Fissionable Model”,
Current Science, Vol.38, p.261, 1966.
8. K. L. Narayana, “On The unification
of gravitation and
the quantum theory”, (invited Talk),
Presented at GRG, 8th
National Symposium at
Bhavanagar, 1978 &
Shivaji University J.,
Vol.17. p.13-21. 1977
9. K. L. Narayana, “ Resonating Magic
Cores Model for
Boron - 10 nucleus”,
Proc. Nucl. & Solid State Physics, Roorke,
Paper No. N-93, 1969.
10. K. L. Narayana, ” On the binding energy of 10 B “,
Proc. Nucl. & Solid State
Physics, Madurai, 1970.
11. K. L. Narayana, “ The structure of mass 19 nuceli”,
Proc. Nucl. & Solid State
Physics, Madras, 1968
12.
K. L. Narayana, “ Quantal functional Representation
and Estimate of Actinides Nuclear Properties”,
Nuclear Science
Symposium, No.164, Omni-Shoreham
Hotel, Washington D. C., Oct-Nov. 1, 1986.
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