A study of the ^9 Be nucleus

<p>The reaction ⁷Li(³He, p)⁹Be has been used to measure excitations and intrinsic widths of levels in ⁹Be below the ⁷Li + d threshold. Previously unreported levels have been found at excitations of (13.78 ± .03) MeV and (16.671 ± .008) MeV with widths of (590 ± 60) keV and (41 ± 4) keV respectively. Two overlapping levels have been found at (11.81 ± .02) MeV and (11.29 ± .03) MeV with widths of (400 ± 30) keV and (620 ± 70) keV respectively. Branching ratios from ⁹Be levels populated in this reaction to the ground and first excited states of ⁸Be have been measured by observing the associated protons in coincidence with the decay neutrons. Branching ratios were found to be: </p><p></p> <p>Excitation in ⁹Be .... Branching Ratio.......... Final Nucleus.........</p> <p> (MeV) .......................... (percent) .....................................</p> <p>.. 2.43 ........................... 7.5 ± 1.5 .............. ⁸Be(g.s.)</p> <p>.. 3.03 ........................... 87 ± 13......................................</p> <p>.. 4.65 ........................... 13 ± 4.......................................</p> <p>.. 6.76 .............................. ≤ 2 ......................................</p> <p>.. 11.29 ...............................≤ 2 ......................................</p> <p>.. 11.81 ...............................≤ 3 ......................................</p> <p>.. 6.76 ........................... .41 ≤ B.R. ≤ .69 ....... ⁸Be(2⁺)</p> <p>.. 11.29 ........................... 14 ± 4 .......................................</p> <p>.. 11.81 ........................... 12 ± 4 .......................................</p> <p>Corresponding reduced widths for neutron emission are calculated and a comparison of the results with the expectations of current nuclear models is made. In particular the measured branching ratio to ⁸Be(g.s.) from ⁹Be(2.43 MeV) corresponds to an f-wave reduced with θ²_f = 2.1 x 10^-2, in units of ħ²/mR², with R = 4.35 fm. A comparison of this value with that predicted by a Nilsson model calculation, in which ⁹Be is taken to be a deformed nucleus, is discussed. The measured value for θ²_f is found to be consistent with that expected on the basis of measured E2-transition rates between rotational levels in ⁹Be. </p>