An application of the weak coupling model to the negative-parity states of the A = 15 nuclei

doi:10.1016/0375-9474(71)90706-8

Nuclear Physics A

Volume 169, Issue 3, 12 July 1971, Pages 617-628

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Abstract

The negative-parity states forA = 15 have been investigated in a weak coupling model. Based on particles in the sd shell and holes in the p-shell the final eigenstates are found to be admixtures of Op-1h, 1p-2h T_h = 0 and 1p-2h T_h = 1 configurations. Good agreement is obtained with the experimental energy levels below 11 MeV. The correspondence between levels in ¹⁵N and ¹⁵O is discussed.

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Cited by (51)

The 18O(p, α)15N reaction at 40.9 MeV
1987, Nuclear Physics, Section A
The ¹⁸O(p, α)¹⁵N reaction has been studied at a proton energy of 40.9 MeV with an overall energy resolution of about 100keV. Differential cross sections for levels with excitation energies up to about 12 MeV were measured. Finite-range DWBA calculations were performed using cluster form factors, and the deduced spectroscopic factors compared with the shell-model calculations of Millener. Numerous states show considerably greater strength than predicted by the shell model.
Spectroscopy of intermediate 16F states with the reaction 14N(3He, np)15O
1985, Nuclear Physics, Section A
Excited states of ¹⁶F have been investigated with the reaction ¹⁴N(³He, np)¹⁵O at E = 10.5 and 12 MeV in kinematically complete experiments. Proton groups corresponding to the decays of intermediate ¹⁶F states were observed at various angles with counter telescopes in time coincidence with the associated neutrons detected at θ_n^lab = 0° with a time-of-flight spectrometer. Excitation energies and decay widths Γ_p0 of these states have been extracted from the proton spectra. Lower limits for the orbital angular momentum in the decay channel and for the spin of the states have been deduced from the obtained angular correlations. By comparison with the reaction ¹⁴N(³He, pp)¹⁵N measured at E = 13 MeV, pairs of $T = 1^{16} F$ parent/¹⁶O analog states have been identified. J^π assignments and shell-model configurations are discussed on the basis of the selectivity of the reactions measured.
Pion-induced single charge exchange and nuclear structure
1981, Nuclear Physics, Section A
The influence of nuclear structure upon calculated angular distributions and cross sections of pion-induced single charge exchange on light nuclei is studied within the framework of Glauber theory. Results obtained using simple shell-model configurations as well as more realistic shellmodel wave functions which involve particle-hole components where appropriate are compared. In all cases the use of better wave functions enhance the (π⁺, π⁰) cross sections and suppress (π⁻, π⁰) cross sections. The effects of using realistic single-particle wave functions generated from WoodsSaxon potentials and the effects of the antisymmetry of the nuclear wave functions are also investigated. Renormalisation of the properties of the $Δ (32, 32)$ in the nucleus has also been considered and is shown to be essential to understand the behaviour of the experimental integrated cross section. Results are given for $(π^{+}, π^{0}) on^{7} Li,^{13} C,^{15} N,^{16} O,^{17} O and^{39} K and (π^{−}, π^{0}) on^{13} C,^{15} N and^{17} O$ leading to the ground state and excited states of the final nucleus. A comparison with experiment is made where possible.
Investigation of low-lying states of 15N via 14N(d, p)15N reactions with vector polarized deuterons
1980, Nuclear Physics, Section A
Angular distributions of cross section and vector analyzing power have been measured for the ¹⁴N(d, p)¹⁵N reaction at E_d = 10 MeV for transitions to levels up to 8.6 MeV excitation in ¹⁵N. Distorted wave Born approximation calculations and calibration curves were used to determine total and orbital angular momenta and spectroscopic factors of the transferred neutrons. The results were compared with different theoretical approaches.
The proton shell closure at 14C
1979, Nuclear Physics, Section A
Data for the ¹⁴C(³He, d)¹⁵N and ¹⁴C(t, ⁴He)¹³B reactions are compared to DWBA calculations to measure the spectroscopic factors for $p_{12} and p_{32}$ proton transitions. Good fits are found for the stripping data, as well as to similar stripping data on ¹²C. These results lower the previous value for proton $p_{32}$ hole strength in ¹⁴C by a factor of two, indicating that the neutron closure of the p-shell has provided a very good proton closed shell at ¹⁴C. Stripping results to low-lying positive parity states in ¹⁵N are interpreted within a Nilsson scheme, which reproduces the experimental results, but which requires a large deformation for the s-d orbitals.
Direct evidence for 3p4h excitations in 15N
1979, Physics Letters B

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^†: Work supported in part by the Norwegian Research Council for Science and Humanities.

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Nuclear Physics A

Abstract

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Cited by (51)

The <sup>18</sup>O(p, α)<sup>15</sup>N reaction at 40.9 MeV

Spectroscopy of intermediate <sup>16</sup>F states with the reaction <sup>14</sup>N(<sup>3</sup>He, np)<sup>15</sup>O

Pion-induced single charge exchange and nuclear structure

Investigation of low-lying states of <sup>15</sup>N via <sup>14</sup>N(d, p)<sup>15</sup>N reactions with vector polarized deuterons

The proton shell closure at <sup>14</sup>C

Direct evidence for 3p4h excitations in <sup>15</sup>N