250
T. R. Routray et al.
0
2
4
6
8
1 0
k [fm
-1 ]
0.6
0.7
0.8
0.9
1
m*(k,ρ
0
)/m
Yukawa
Gaussian
Fig. 17.4 Effective mass in SNM as a function of momentum k at normal nuclear matter density
(ρ = ρ 0 ) for Yukawa and Gaussian form of SEI
Table 17.1 Properties of SNM calculated with the knowledge of the two parameters ex and α.
See the text for details
Properties
Yukawa
Gaussian
ex (MeV)
–129.2
–96.24
λ
1.769
1.976
u R (ρ 0 )
15.93
16.91
m∗
m (k = k F0 , ρ 0 )
0.686
0.709
m∗
m (k = 0, ρ 0 )
0.609
0.660
u(k = ∞, ρ 0 ) (MeV)
35.89
12.68
u(k = 0, ρ 0 ) (MeV)
–73.11
–70.05
dictions of effective mass at Fermi momentum k f 0 in normal nuclear matter are
m∗
m
(k = k f 0 , ρ 0 ) = 0.686 and 0.709, in case of Yukawa and Gaussian forms of SEI,
respectively. The results of m*/m in the asymptotic limit k = 0 in normal nuclear matter calculated from (17.56) for both the Yukawa and Gaussian forms of SEI are given
in Table 17.1 along with the results of the other properties those can be calculated
with the knowledge of the two parameters, α and ex only. These properties of SNM at
normal nuclear matter density are u(k = 0, ρ 0 ), u(k = k f 0 , ρ 0 ), u(k = ∞, ρ 0 ) and
the rearrangement energy u R (ρ 0 ). The results obtained for the standard values of
the saturation properties, e(ρ 0 ) = −16 MeV and T f 0 = 37 MeV, are given in Table
17.1. The expression for the rearrangement energy, u R (ρ), used for its calculation is
obtained by isolating the saturation properties of the effective interaction from the
rearrangement part of the single particle potential in (17.20):