In[]:=
II[ρ_,μ_,β_]:=Evaluate[Integrate[Sin[ρs]/(ρs)s^(μ-β-1),{s,0,Infinity},GenerateConditions->False]]
In[]:=
II[r/Sqrt[νt],1.256,0.813]
Out[]=
2.75507
0.2215
2
r
tν
​​
W(ΔS>s)≈
A
ds
-β
s
;​​β≈0.813;\[NewLine]
A
ds
≈
-4
3.568*10
​
In[]:=
JJ[ρ_,μ1_,W1_,A1_,μ2_,W2_,A2_,β_,Ads_]:=​​Adsβ/4(W1/(W1+W2)A1II[ρ,μ1,β]-W2/(W1+W2)A2II[ρ,μ2,β]);
In[]:=
JJ[ρ,1.256,128927,13851.157,1.200,345312,15988.304,0.813,3.56810^(-4)]//Expand
Out[]=
0.752351
0.2215
(
2
ρ
)
-
2.59419
0.1935
(
2
ρ
)
In[]:=
Exp[Log[0.752351133293951`/2.5941903131207114`]/((0.2215-0.1935)*2)]
Out[]=
2.51382×
-10
10
In[]:=
Plot[JJ[ρ,1.274,12912,16410.389,1.197,34355,15460.604,0.81],{ρ,0,10^(-15)}]
Out[]=
2e-16
4e-16
6e-16
8e-16
1e-15
1.0e+11
1.5e+11
2.0e+11
2.5e+11
3.0e+11