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4648 y Fe(0)p 1701 4678 V 1701 4769 a Fg(2)p Ff(M)1854 4740 y Fb(\003)1894 4769 y Ff(c)1936 4740 y Fe(2)1985 4580 y Fa(\023)1167 4958 y Fg(=)83 b(\()p Ff(M)1458 4973 y Fd(\037)1506 4958 y Ff(c)1548 4917 y Fe(2)1610 4958 y Fc(\000)22 b Ff(M)1803 4973 y Fd( )1856 4958 y Ff(c)1898 4917 y Fe(2)1938 4958 y Fg(\))1993 4812 y Fa( )2058 4958 y Fg(1)g Fc(\000)2239 4891 y Fg(\()p Ff(M)2371 4906 y Fd(\037)2419 4891 y Ff(c)2461 4855 y Fe(2)2522 4891 y Fc(\000)h Ff(M)2716 4906 y Fd( )2769 4891 y Ff(c)2811 4855 y Fe(2)2850 4891 y Fg(\))p 2239 4935 650 4 v 2427 5026 a(2)p Ff(M)2570 5041 y Fd(\037)2618 5026 y Ff(c)2660 4998 y Fe(2)2898 4812 y Fa(!)1167 5240 y Fg(=)83 b(\(3415)p Ff(:)p Fg(0)21 b Fc(\000)i Fg(3096)p Ff(:)p Fg(87\))2133 5094 y Fa( )2197 5240 y Fg(1)e Fc(\000)2377 5173 y Fg(\(3415)p Ff(:)p Fg(0)g Fc(\000)i Fg(3096)p Ff(:)p Fg(87\))p 2377 5217 789 4 v 2573 5309 a(2\(3415)p Ff(:)p Fg(0\))3175 5094 y Fa(!)1167 5441 y Fg(=)83 b(303)p Ff(:)p Fg(3)32 b(MeV)411 5661 y(One)44 b(can)f(also)f(deriv)m(e)h(this)g(v)-5 b(alue)42 b(b)m(y)i(setting)f(up)g(the)g(equations)g(for)g(the)g (energy)h(and)411 5781 y(momen)m(tum)37 b(of)g(the)i(system)f(b)s (efore)g(and)g(after)g(the)g(deca)m(y)h(and)f(applying)f(conserv)-5 b(ation)p eop %%Page: 2 2 2 1 bop 411 481 a Fg(of)37 b(energy)g(and)g(momen)m(tum.)55 b(The)37 b(initial)c(state)38 b(of)e(the)h(system)h(consists)f(of)f (the)h Ff(\037)3659 496 y Fd(c)p Fe(0)3766 481 y Fg(at)411 601 y(rest.)43 b(Hence,)32 b Ff(E)1025 616 y Fd(i)1081 601 y Fg(=)27 b Ff(M)1278 616 y Fd(\037)1327 601 y Ff(c)1369 565 y Fe(2)1437 601 y Fg(and)j Ff(~)-49 b(p)1673 616 y Fd(i)1729 601 y Fg(=)27 b(0.)42 b(The)31 b(\014nal)d(state)i (consists)g(of)f(a)g(photon)g(of)g(energy)411 722 y Ff(Q)k Fg(and)g(the)g Ff(J)t(= )j Fg(with)c(energy)i Ff(E)1691 737 y Fd( )1776 722 y Fg(and)f(momen)m(tum)e Ff(~)-49 b(p)2527 737 y Fd( )2580 722 y Fg(.)43 b(So:)1690 906 y Ff(E)1762 921 y Fd(f)1891 906 y Fg(=)83 b Ff(E)2122 921 y Fd( )2197 906 y Fg(+)22 b Ff(Q)1714 1052 y(~)-49 b(p)1763 1067 y Fd(f)1891 1052 y Fg(=)84 b Ff(~)-50 b(p)2099 1067 y Fd( )2174 1052 y Fg(+)22 b(\()p Ff(Q=c)p Fg(\))5 b(^)-54 b Ff(n)411 1236 y Fg(where)52 b(^)-54 b Ff(n)46 b Fg(is)g(the)g(unit)f(v)m(ector)i(in)e(the)h(photon)g(direction.)82 b(Applying)45 b(conserv)-5 b(ation)45 b(of)411 1357 y(energy)34 b(and)f(momen)m(tum)e(giv)m(es:)1357 1541 y Ff(E)1429 1556 y Fd(f)1558 1541 y Fg(=)83 b Ff(E)1789 1556 y Fd(i)1910 1541 y Fg(=)-17 b Fc(\))92 b Ff(E)2233 1556 y Fd( )2308 1541 y Fg(+)22 b Ff(Q)61 b Fg(=)f Ff(M)2774 1556 y Fd(\037)2822 1541 y Ff(c)2864 1500 y Fe(2)1381 1686 y Ff(~)-50 b(p)1429 1701 y Fd(f)1558 1686 y Fg(=)83 b Ff(~)-49 b(p)1766 1701 y Fd(i)1887 1686 y Fg(=)-17 b Fc(\))93 b Ff(~)-50 b(p)2187 1701 y Fd( )2262 1686 y Fg(+)22 b(\()p Ff(Q=c)p Fg(\))5 b(^)-54 b Ff(n)60 b Fg(=)g(0)411 1871 y(Hence,)1432 1991 y Ff(E)1504 2006 y Fd( )1584 1991 y Fg(=)28 b Ff(M)1782 2006 y Fd(\037)1830 1991 y Ff(c)1872 1950 y Fe(2)1934 1991 y Fc(\000)22 b Ff(Q)293 b(p)2452 2006 y Fd( )2505 1991 y Ff(c)27 b Fg(=)h Fc(\000)p Ff(Q)896 b Fg(\(1\))411 2151 y(Therefore)1311 2335 y Ff(M)1415 2294 y Fe(2)1405 2360 y Fd( )1458 2335 y Ff(c)1500 2294 y Fe(4)1622 2335 y Fg(=)83 b Ff(E)1859 2294 y Fe(2)1853 2360 y Fd( )1928 2335 y Fc(\000)23 b Ff(p)2077 2294 y Fe(2)2077 2360 y Fd( )2129 2335 y Ff(c)2171 2294 y Fe(2)1622 2490 y Fg(=)83
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