6.3 Resonant States of 11 Li, Probability Distributions and β-decay of Halo Analog States
79
Fig. 6.6 Probability density P along z-axis versus p 12 , and p 3 (expressed in units of α)
Fig. 6.7 Probability density P (along Y-axis) versus p 3 . Here, p 12 , and p 3 are expressed in units
of α
r 12 = r nn =
1
12
= 7.19 fm
(6.18)
Similarly, the FWHM, 3 in Fig. 6.8, is 45.70 MeV/c which gives the most
probable value of the distance of
9 Li core from the center of mass of the two halo
neutrons
r 3 = r c−nn =
1
3
= 4.32 fm
(6.19)
Having calculated r 12 and r 3 from the three-body model, we can now estimate the
rms matter radius, r matter , of
11 Li using the relation
79
Fig. 6.6 Probability density P along z-axis versus p 12 , and p 3 (expressed in units of α)
Fig. 6.7 Probability density P (along Y-axis) versus p 3 . Here, p 12 , and p 3 are expressed in units
of α
r 12 = r nn =
1
12
= 7.19 fm
(6.18)
Similarly, the FWHM, 3 in Fig. 6.8, is 45.70 MeV/c which gives the most
probable value of the distance of
9 Li core from the center of mass of the two halo
neutrons
r 3 = r c−nn =
1
3
= 4.32 fm
(6.19)
Having calculated r 12 and r 3 from the three-body model, we can now estimate the
rms matter radius, r matter , of
11 Li using the relation