${}^{208}{Pb}$ ( ${}^{16}O$ , ${}^{15}O$ ) ${}^{209}{Pb}$ reaction

The neutron levels in

{}^{209}{Pb}

have been studied with the

{}^{208}{Pb}

(

{}^{16}O

{}^{15}O

) reaction at a bombarding energy of 139 MeV. Spectroscopic factors (

S

) have been deduced using a finite-range distorted-wave Born approximation (DWBA) with recoil. The

2 g_{\frac{9}{2}}

1 i_{\frac{11}{2}}

2 g_{\frac{7}{2}}

, and

3 d_{\frac{3}{2}}

levels are found to have

S ≳ 0.9

while

S \approx 0.7

for the

1 j_{\frac{15}{2}}

level at 1.4 MeV excitation. Evidence is found for other

1 j_{\frac{15}{2}}

fragments being at 3.05 MeV and ∼ 3.8 MeV with

S \approx 0.08 and 0.26

, respectively, which would place the centroid of the

1 j_{\frac{15}{2}}

level at

E_{x} \approx 2.2

MeV. DWBA predicts a shift in the maxima of the angular distributions as a function of

Q

value which is not observed experimentally. A comparison with the proton transfer reaction

{}^{208}{Pb}

(

{}^{16}O

{}^{15}N

)

{}^{209}{Bi}

has been used to deduce the geometrical parameters of a neutron shell-model potential appropriate for nuclei with

A ≳ 200

. The parameters of this Woods-Saxon potential are:

V_{R} = - 50.5

MeV

r_{R} = 1.19

fm,

a_{R} = 0.75

fm,

V_{so} = - 5.5

MeV,

r_{}

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Pb208(O16,O15)Pb209reaction