247 lines
6.2 KiB
Python
Executable File
247 lines
6.2 KiB
Python
Executable File
#!/usr/bin/env python3
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import math
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import numpy as np
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import sys, os
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sys.path.append(os.path.join(os.path.dirname(__file__), '../Cleopatra'))
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from IAEANuclearData import IsotopeClass
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class Coulomb:
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def __init__(self, rc):
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self.rc = rc
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self.id = 0
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self.ee = 1.43996 # MeV.fm
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def setA(self, A):
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self.Rc = self.rc * math.pow(A, 1/3)
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def setAa(self, A, a):
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self.Rc = self.rc * (math.pow(A, 1/3) + math.pow(a, 1/3))
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def setCharge(self, Z):
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self.Charge = Z
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def output(self, x):
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if x >self.Rc:
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return (self.Charge * self.ee) / (x + 1e-20) # Add a small value to avoid division by zero
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else:
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return (self.Charge * self.ee) / (2 * self.Rc) * (3 - (x / self.Rc)**2)
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class WS:
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def __init__(self, V0, r0, a0) :
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self.V0 = V0
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self.r0 = r0
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self.a0 = a0
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self.id = 1
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def setA(self, A):
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self.R0 = self.r0 * math.pow(A, 1/3)
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def setAa(self, A, a):
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self.R0 = self.r0 * (math.pow(A, 1/3) + math.pow(a, 1/3))
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def output(self, x):
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return self.V0/(1 + math.exp((x-self.R0)/self.a0))
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class SO:
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def __init__(self, VSO, rSO, aSO) :
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# the LS factor is put in the SolvingSE Class
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self.VSO = VSO
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self.rSO = rSO
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self.aSO = aSO
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self.id = 2
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def setA(self, A):
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self.RSO = self.rSO * math.pow(A, 1/3)
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def setAa(self, A, a):
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self.RSO = self.rSO * (math.pow(A, 1/3) + math.pow(a, 1/3))
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def output(self, x):
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if x > 0 :
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return 4*(self.VSO * math.exp((x-self.RSO)/self.aSO))/(self.aSO*math.pow(1+math.exp((x-self.RSO)/self.aSO),2))/x
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else :
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return 4*1e+19
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class WSSurface:
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def __init__(self, V0, r0, a0):
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self.V0 = V0
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self.r0 = r0
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self.a0 = a0
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self.id = 3
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def setA(self, A):
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self.R0 = self.r0 * math.pow(A, 1/3)
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def setAa(self, A, a):
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self.R0 = self.r0 * (math.pow(A, 1/3) + math.pow(a, 1/3))
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def output(self, x):
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exponent = (x - self.R0) / self.a0
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return self.V0 * math.exp(exponent) / (1 + math.exp(exponent))**2
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#========================================
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class SolvingSE:
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#grid setting
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rStart = 0.0
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dr = 0.05
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nStep = 600*5
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rpos = np.arange(rStart, rStart+nStep*dr, dr)
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SolU = []
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maxSolU = 0.0
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WF = np.empty([nStep], dtype=float) # radial wave function
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maxWF = 0.0
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#constant
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mn = 939.56539 #MeV/c2
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amu = 931.494 #MeV/c2
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hbarc = 197.326979 #MeV.fm
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ee = 1.43996 # MeV.fm
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#RK4 constants
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parC = [0, 1./2, 1./2, 1.]
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parD = [1./6, 2./6, 2./6, 1./6]
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#inital condition
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solu0 = 0.0
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dsolu0 = 0.0001
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potential_List = []
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def PrintInput(self):
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print(f" A : ({self.A:3d}, {self.ZA:3d})")
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print(f" a : ({self.a:3d}, {self.Za:3d})")
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print(f" Elab : {self.Energy : 10.3f} MeV")
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print(f" mu : {self.mu: 10.3f} MeV/c2")
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# print(f" Ecm : {self.Ecm: 10.3f} MeV")
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# print(f" k : {self.k: 10.3f} MeV/c")
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# print(f" eta : {self.eta: 10.3f}")
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# print(f" L : {self.L}, maxL : {self.maxL}")
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print(f" dr : {self.dr} fm, nStep : {self.nStep}")
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print(f"rStart : {self.rStart} fm, rMax : {self.nStep * self.dr} fm")
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print(f"spin-A : {self.sA}, spin-a : {self.sa} ")
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def __init__(self, A, ZA, a, Za, Energy):
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self.A = A
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self.a = a
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self.ZA = ZA
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self.Za = Za
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self.Z = ZA * Za
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self.sA = 0
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self.sa = 0
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self.L = 0
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self.S = 0
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self.J = 0
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haha = IsotopeClass()
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self.mass_A = haha.GetMassFromAZ(self.A, self.ZA)
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self.mass_a = haha.GetMassFromAZ(self.a, self.Za)
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#self.mu = (A * a)/(A + a) * self.amu
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self.mu = (self.mass_A * self.mass_a)/(self.mass_A + self.mass_a)
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self.Energy = Energy
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self.Ecm = self.Energy
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# self.E_tot = math.sqrt(math.pow((a+A)*self.amu,2) + 2 * A * self.amu * eng_Lab)
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# self.Ecm = self.E_tot - (a + A) * self.amu
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# self.k = math.sqrt(self.mu * 2 * abs(self.Ecm)) / self.hbarc
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# self.eta = self.Z * self.ee * math.sqrt( self.mu/2/self.Ecm ) / self.hbarc
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# self.maxL = int(self.k * (1.4 * (self.A**(1/3) + self.a**(1/3)) + 3))
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def SetSpin(self, sA, sa):
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self.sA = sA
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self.sa = sa
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self.S = self.sa
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def SetLJ(self, L, J):
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self.L = L
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self.J = J
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def LS(self, L = None, J = None) :
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if L is None:
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L = self.L
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if J is None:
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J = self.J
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return (J*(J+1)-L*(L+1)-self.S*(self.S))/2.
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# set the range in fm
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def SetRange(self, rStart, dr, nStep):
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self.rStart = rStart
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self.dr = dr
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self.nStep = nStep
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self.WF=np.empty([nStep], dtype=float)
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self.rpos = np.arange(self.rStart, self.rStart+self.nStep*dr, self.dr)
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self.WF = np.empty([self.nStep], dtype=float)
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self.maxWF = 0.0
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self.SolU = []
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self.maxSolU = 0.0
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def ClearPotential(self):
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self.potential_List = []
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def AddPotential(self, pot, useBothMass : bool = False):
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if pot.id == 0:
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pot.setCharge(self.Z)
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if useBothMass:
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pot.setAa(self.A, self.a)
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else:
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pot.setA(self.A)
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self.potential_List.append(pot)
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def __PotentialValue(self, x):
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value = 0
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for pot in self.potential_List:
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if pot.id == 2:
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value = value + self.LS() * pot.output(x)
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else:
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value = value + pot.output(x)
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return value
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def GetPotentialValue(self, x):
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return self.__PotentialValue(x)
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# The G-function, u''[r] = G[r, u[r], u'[r]]
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def __G(self, x, y, dy):
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#return -2*x*dy -2*y # solution of gaussian
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if x > 0 :
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return 2*self.mu/math.pow(self.hbarc,2)*(self.__PotentialValue(x) - self.Ecm)*y + self.L*(1+self.L)/x/x*y
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else:
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return 0
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# Using Rungu-Kutta 4th method to solve u''[r] = G[r, u[r], u'[r]]
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def SolveByRK4(self):
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#initial condition
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self.SolU = [self.solu0]
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dSolU = [self.dsolu0]
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dyy = np.array([1., 0., 0., 0., 0.], dtype= complex)
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dzz = np.array([1., 0., 0., 0., 0.], dtype= complex)
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self.maxSolU = 0.0
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for i in range(self.nStep-1):
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r = self.rStart + self.dr * i
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y = self.SolU[i]
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z = dSolU[i]
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for j in range(4):
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dyy[j + 1] = self.dr * (z + self.parC[j] * dzz[j])
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dzz[j + 1] = self.dr * self.__G(r + self.parC[j] * self.dr, y + self.parC[j] * dyy[j], z + self.parC[j] * dzz[j])
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dy = sum(self.parD[j] * dyy[j + 1] for j in range(4))
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dz = sum(self.parD[j] * dzz[j + 1] for j in range(4))
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self.SolU.append(y + dy)
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dSolU.append(z + dz)
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return self.SolU
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def normalize_boundState(self):
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pass
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