From 7f85bd2640728f86a5392c4cbb59b1498f776dde Mon Sep 17 00:00:00 2001 From: oliskir <oliver.kirsebom@gmail.com> Date: Fri, 4 Dec 2015 11:00:18 +0100 Subject: [PATCH] added program files and pdf documents --- bedepe.f | 437 ++++++++++++++++++++++++++++++++++++++++++++++++ description.pdf | Bin 0 -> 33903 bytes input0 | 9 + spincoeff.f | 56 +++++++ spincoeff.pdf | Bin 0 -> 35646 bytes 5 files changed, 502 insertions(+) create mode 100644 bedepe.f create mode 100644 description.pdf create mode 100644 input0 create mode 100644 spincoeff.f create mode 100644 spincoeff.pdf diff --git a/bedepe.f b/bedepe.f new file mode 100644 index 0000000..d3da260 --- /dev/null +++ b/bedepe.f @@ -0,0 +1,437 @@ + program BEDEPE + +* Oliver S. Kirsebom +* 31 Nov 2010 + +* Differs from the 0th version in that +* FUNLXP and FUNLUX are used to generate +* beta energies according to phase-space +* distribution (the 0th version uses a flat +* distribution from 0 to T0, and includes the +* phase-space factor in the weight) + + +* * * * * * * * * * * +* DECLARATIONS * +* * * * * * * * * * * + + REAL pi + PARAMETER (pi = 3.1415927) + REAL*8 ran2 + EXTERNAL triple,DummyIni,phasespace,ran2 + character*80 histout,dataout + COMMON /PAWC/HMEMOR(8000000) + real malpha,me,QEC,mn,mp,mpar + parameter(mn = 939.565002441406) + parameter(mp = 938.271972656250) + parameter(malpha = 3727378.97610664) + parameter(amu = 931494.0) + PARAMETER(me = 510.99906) + REAL pacm(3),pbeta(3),pnu(3),prec(3) + + ,vacm(3),vfcm(3),vrec(3),valab(3),vflab(3) + + ,palab(3),pflab(3) + logical check + real T0,E0,va + common /COEFF/xi,Theta,a3 + PARAMETER(Nmont=200,Nbig=1E7) + REAL Xbeta(Nbig),Ybeta(Nmont) + COMMON /PHSP/T0me + + + +* READ FROM INPUT FILE + open(91,file='input0',status='old') + read(91,*) Nevent + read(91,*) Qbeta + read(91,*) alpha_thres + read(91,*) Eexc + read(91,*) Ai + read(91,*) npar + read(91,*) a3 + read(91,*) xi + read(91,*) Theta + close(91) + + +* Check + if (Nevent.gt.Nbig) then + write(6,*) 'Number of events is too large' + write(6,*) 'Parameter NBIG must be increased (see code)' + STOP + endif + + + +* PARTICLE EMITTED + if (npar.eq.0) then !neutron + mpar = mn + Af = Ai-1. + elseif (npar.eq.1) then !proton + mpar = mp + Af = Ai-1. + elseif (npar.eq.2) then !alpha + mpar = malpha + Af = Ai-4. + endif + +* Comment: For historical reasons (the program was first +* written only for alpha decay) many of the variables are +* named alpha-something though they are generic, i.e. they +* work for neutrons and protons as well. + + + +* INITIATE + + Call DummyIni + call hlimit(8000000) + histout = 'bedepe.his' + dataout = 'bedepe.dat' + check = .false. + + + +* BOOK HISTOGRAMS + + nhis_rec = 10 + call hbook1(nhis_rec,'Recoil energy (keV)',250,0.,50.,0.) + nhis_eb = 11 + call hbook1(nhis_eb,'beta kinetic energy (keV)',400,0.,20000.,0.) + nhis_ea = 12 + call hbook1(nhis_ea,'alpha lab energy (keV)',400,0.,20000.,0.) + nhis_ef = 13 + call hbook1(nhis_ef,'final nucleus lab energy (keV)' + + ,400,0.,20000.,0.) + nhis_ba = 14 + call hbook1(nhis_ba,'lab angle between beta and ' + + //'alpha (degree)',360,0.,180.,0.) + nhis_af = 15 + call hbook1(nhis_af,'lab angle between alpha and ' + + //'final nucleus (degree)',120,120.,180.,0.) + + + +*::::::::::::::::::::::::::::::::::::::::* +* SIMULATION OF B8 BETA DECAY * +*::::::::::::::::::::::::::::::::::::::::* +* +* Take direction of alpha in recoil frame (c.m.) as z-axis + Qbe8 = Eexc - alpha_thres + Ealpha = Af/Ai*Qbe8 + rpacm = sqrt(2.*mpar*Ealpha) + pacm(1) = 0. + pacm(2) = 0. + pacm(3) = rpacm + + +*=======================================================================* +* Sample beta energy (E_beta) +*=======================================================================* + + T0 = Qbeta - Eexc ! end point of beta kinetic energy spectrum + T0me = T0/me + if (T0.lt.0.) then + write(6,*) 'ERROR : excitation energy exceeds maximum value' + STOP + endif + call funlxp(phasespace,Ybeta,0.,T0me) + call funlux(Ybeta,Xbeta,Nevent) + + + Wmax = 0. + sum = 0. + Wsum = 0. + Esum = 0. + ieve = 1 + angle_min = 180. + open(41,file=dataout,status='unknown') + + do while(ieve.le.Nevent) + + IF (MOD(ieve,10000).EQ.0) THEN + WRITE(6,*) 'ieve ... ',ieve + + ,'(',INT(100.*real(ieve)/real(Nevent)),'%)' + ENDIF + + +*=======================================================================* +* Sample beta energy (E_beta) and direction (theta_beta,phi_beta) +* and neutrino direction (theta_nu,phi_nu) +*=======================================================================* + +* Beta energy + T_beta = Xbeta(ieve)*me + T_beta = max(0.,T_beta) + E_beta = me + T_beta + +* Neutrino energy + E_nu = T0 - T_beta + +* Beta direction + phi_beta = 2.*pi*ran2(10) + costh_beta = 2.*ran2(10)-1. + sinth_beta = sqrt(1.-costh_beta**2.) + +* Neutrino direction + phi_nu = 2.*pi*ran2(10) + costh_nu = 2.*ran2(10)-1. + sinth_nu = sqrt(1.-costh_nu**2.) + +* Beta momentum + rpbeta = sqrt( E_beta**2. - me**2. ) + pbeta(1) = sinth_beta * cos(phi_beta) * rpbeta + pbeta(2) = sinth_beta * sin(phi_beta) * rpbeta + pbeta(3) = costh_beta * rpbeta + +* Neutrino momentum + rpnu = E_nu + pnu(1) = sinth_nu * cos(phi_nu) * rpnu + pnu(2) = sinth_nu * sin(phi_nu) * rpnu + pnu(3) = costh_nu * rpnu + + +*=======================================================================* +* Calculate recoil energy of daughter nucleus +*=======================================================================* + +* Momentum of recoil + do i=1,3 + prec(i) = -pbeta(i)-pnu(i) + enddo + precsq = prec(1)**2.+prec(2)**2.+prec(3)**2. + +* Energy of recoil + Erec = precsq/(2.*Ai*amu) + + +*=======================================================================* +* Calculate velocities of decay products in lab +*=======================================================================* + +* Velocity of alpha and final nucleus in recoil frame + do i=1,3 + vacm(i) = pacm(i)/mpar + vfcm(i) = -pacm(i)/(Af*amu) + enddo + +* Velocity of recoil + do i=1,3 + vrec(i) = prec(i)/(Ai*amu) + enddo + +* Velocity and momenta of alphas in lab + do i=1,3 + valab(i) = vacm(i) + vrec(i) + palab(i) = mpar*valab(i) + vflab(i) = vfcm(i) + vrec(i) + pflab(i) = Af*amu*vflab(i) + enddo + rpalab = sqrt(palab(1)**2.+palab(2)**2.+palab(3)**2.) + rpflab = sqrt(pflab(1)**2.+pflab(2)**2.+pflab(3)**2.) + +* Energies of alphas in lab + valabsq = valab(1)**2. + valab(2)**2. + valab(3)**2. + vflabsq = vflab(1)**2. + vflab(2)**2. + vflab(3)**2. + Ealab = 0.5 * mpar * valabsq + Eflab = 0.5 * Af*amu * vflabsq + + +*=======================================================================* +* Calculate weight of event +*=======================================================================* + +* Angle between beta and neutrino + dot_bn = pbeta(1)*pnu(1) + pbeta(2)*pnu(2) + pbeta(3)*pnu(3) + cos_bn = dot_bn / (rpbeta*rpnu) + +* Angle between beta and alpha + dot_ba = pbeta(1)*pacm(1)+pbeta(2)*pacm(2)+pbeta(3)*pacm(3) + cos_ba = dot_ba / (rpbeta*rpacm) + angle_ba = acos(cos_ba)*180./pi + +* Angle between neutrino and alpha + dot_na = pnu(1)*pacm(1) + pnu(2)*pacm(2) + pnu(3)*pacm(3) + cos_na = dot_na / (rpnu*rpacm) + +* Triple correlation amplitude + va = rpacm/mpar + E0 = T0 + me + A = triple(Ai,rpbeta,cos_bn,cos_ba,cos_na,va,E0) + +* Weight of event + W = A + if (W.gt.Wmax) then + Wmax = W + endif + + +*=======================================================================* +* Calculate lab angle between alpha and final nucleus +*=======================================================================* + + dotprod = valab(1)*vflab(1) + valab(2)*vflab(2) + + + valab(3)*vflab(3) + cos_af = dotprod/sqrt(valabsq)/sqrt(vflabsq) + angle_af = acos(cos_af)*180./pi + if (angle_af.lt.angle_min) then + angle_min = angle_af + endif + + +*=======================================================================* +* Checks of self consistency +*=======================================================================* + +* Check energy conservation + Etot = Ealab + Eflab + T_beta + E_nu + if (check) then + write(6,*) 'E_f-E_i and recoil energy (keV):' + + ,Etot-(Qbeta-alpha_thres),Erec + endif + +* Check momentum conservation + ptot1 = mpar*valab(1) + Af*amu*vflab(1) + pbeta(1) + pnu(1) + ptot2 = mpar*valab(2) + Af*amu*vflab(2) + pbeta(2) + pnu(2) + ptot3 = mpar*valab(3) + Af*amu*vflab(3) + pbeta(3) + pnu(3) + if (check) then + write(6,*) 'Ptot (MeV/c):' + + ,sqrt(ptot1**2.+ptot2**2.+ptot3**2.) + read(*,*) + endif + + +*=======================================================================* +* Plots and write data to files +*=======================================================================* + + call hfill(nhis_rec,real(Erec),0.,real(W)) + call hfill(nhis_eb,real(T_beta),0.,real(W)) + call hfill(nhis_ea,real(Ealab),0.,real(W)) + call hfill(nhis_ef,real(Eflab),0.,real(W)) + call hfill(nhis_ba,real(angle_ba),0.,real(W)) + call hfill(nhis_af,real(angle_af),0.,real(W)) + Wsum = Wsum + W + Esum = Esum + W*Erec + write(41,*) ieve, T_beta, Ealab, Eflab, angle_ba, angle_af, W + + + 99 ieve = ieve+1 + enddo ! loop over ieve + write(41,*) 'Maximum weight:', Wmax + close(41) + + + write(6,*) 'Average recoil energy (keV):', Esum/Wsum + write(6,*) 'Minimum lab angle between alpha ' + + //'and final nuclues (degree):', angle_min + + call hrput(0,histout,'n') + + END + + + + +* Beta-decay phase space +* T0me = total lepton kinetic energy in units of 511 keV +* t = beta kinetic energy in units of 511 keV + real function phasespace(t) + COMMON /PHSP/T0me + q = T0me + phasespace = (t**2.+2.*t)**0.5*(q-t)**2.*(t+1.) + end + + +* Triple-correlation function + real function triple(Ai,pb,cosbn,cosba,cosna,va,E0) + real pb,cosba,cosna + real me,Eb,M,E0,va + PARAMETER(me = 510.99906) + parameter(amu = 931494.0) + real r,v,bn,ab,an,xi,Theta,g2g1,g12g1,c,c0 + common /COEFF/xi,Theta,a3 + + M = Ai*amu + Eb = sqrt( pb**2. + me**2.) + + r = pb/Eb + v = va + bn = cosbn + ab = cosba + an = cosna + + c = 2.*Eb/(M*v) + c0 = 2.*E0/(M*v) + c = max(0.,c) + c0 = max(0.,c0) + + g2g1 = 1./3.*(2.*a3+1.) + g12g1 = 1./2.*Theta*(a3-1.) + + d1 = -c + d2 = -c*g2g1 + d3 = -(c0-c) + d4 = -(c0-c)*g2g1 + d8 = 1./10.*xi*2.*c*(-g12g1) + d9 = 1./10.*xi*2.*(c0-c)*(-g12g1) + + triple = 1. + g2g1*r*bn + g12g1*1./10.*xi*r*(ab*an-1./3.*bn) + + + (d1-1./5.*d9)*r*ab + (d2-2./5.*d8)*r**2.*ab*bn + + + (d3-1./5.*r**2.*d8)*an + (d4-2./5.*d9)*r*an*bn + + + d8*r**2.*ab**2.*an + d9*r*ab*an**2. + + end + + + +* Dummy routines + + subroutine dummyini + implicit none + real X,Y + real A(100) + integer i + real RNDM + external RNDM + do i=1,100 + y = RNDM(X) + a(i) = y + enddo + call FLPSOR(A,20) + end + + FUNCTION ran2(idummy) + IMPLICIT real*8 (A-H,O-Z) + parameter (IM1=2147483563,IM2=2147483399,AM=1d0/IM1, + *IMM1=IM1-1, + *IA1=40014,IA2=40692,IQ1=53668,IQ2=52774,IR1=12211,IR2=3791, + *NTAB=32,NDIV=1+IMM1/NTAB,EPS=1.2d-7,RNMX=1d0-EPS) + integer idum2,j,k,iv(NTAB),iy + SAVE iv,iy,idum2 + DATA idum2/123456789/, iv/NTAB*0/, iy/0/ + idum=idummy + if (idum.le.0) then + idum=max(-idum,1) + idum2=idum + do 11 j=NTAB+8,1,-1 + k=idum/IQ1 + idum=IA1*(idum-k*IQ1)-k*IR1 + if (idum.lt.0) idum=idum+IM1 + if (j.le.NTAB) iv(j)=idum +11 continue + iy=iv(1) + endif + k=idum/IQ1 + 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/dev/null +++ b/spincoeff.f @@ -0,0 +1,56 @@ + program SPINCOEFF + +* Oliver S. Kirsebom +* 20 Jan 2011 + +* This program calculates the spin-dependent +* coefficients, Xi and Theta, which enter the +* formula for the beta-nu-alpha triple +* correlation. +* +* The subroutine tRACAW from CERNLIB is used +* to calculate the Racah W-coefficient. +* + + + + + REAL J,Ji,Jii,L + +* J = spin of parent nucleus +* Ji = spin of daughter nucleus +* Jii = spin of final nucleus +* L = relative angular momentum in final breakup + + + write(6,*) 'Spin of parent nucleus? (J)' + read(*,*) J + write(6,*) 'Spin of daughter nucleus? (J`)' + read(*,*) Ji + write(6,*) 'Spin of final nucleus? (J``)' + read(*,*) Jii + write(6,*) 'Orbital angular momentum? (L)' + read(*,*) L + + if (L.gt.0.) then + a = sqrt(L*(L+1.)*(2.*L+1.)/(2.*L-1.)/(2.*L+3.)) + b = sqrt((2.*Ji-1.)*(2.*Ji+1.)*(2.*Ji+3.)/Ji/(Ji+1.)) + c = rRACAW(2,Ji,L,Jii,Ji,L) + xi = 10.*a*b*c + else + xi = 0. + endif + write(6,*) 'Xi=',xi + + if (Ji.gt.0.) then + a = (-1.)**(Ji-J) + b = sqrt(30.*Ji*(Ji+1.)*(2.*Ji+1.)/(2.*Ji-1.)/(2.*Ji+3.)) + c = rRACAW(Ji,1.,Ji,1.,J,2.) + Theta = a*b*c + else + Theta = 0. + endif + write(6,*) 'Theta=',Theta + + + END diff --git a/spincoeff.pdf b/spincoeff.pdf new file mode 100644 index 0000000000000000000000000000000000000000..822a1b97945a49ac9af8ba7b71b47dfdc3c04950 GIT binary patch literal 35646 zcmce;1z1!~*ai%OD2+5Kuz(;Su*3$9bVx{dch@2v(j|>_cPi4YASxgwU{KN}4H8oS zE*8f7{_ppF|Mg#cEqmt7nK?60-p?~L(B2ghV`gLFz@UA(5}Azw2CxEb4J<Htd4bZ# zHl{E$00e$V0Vrl}1v7R40L85IVa6iHhPFn={QMY>Fb89OYYdmvVJ-DX*E@)6g5!cP zBSY{R<Uy`ouxT6Bv=Nyjyh>CW38eAhOYMG!Ru3mX5nVpzUr<th_jZ_rZ_M)6<s_cv zqPd}>^_7B!r3e|1my50YdnY-S*D?~v6Z-nzudVN|cUKmej^V!V5ZI$!waJ(PG|o8S 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