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P.B. 1029. BLINDERN, OSLO 3, NORWAY Theoretic Papers 1983 Jtr I

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P.B. 1029. BLINDERN, OSLO 3, NORWAY Theoretic Papers 1983 Jtr I INIS-mf— 9692 THEORETIC PAPERS THE BLINDERN THEORETIC RESEARCH TEAM P.B. 1029. BLINDERN, OSLO 3, NORWAY Theoretic Papers 1983 JTr i COISERVATION OP BASIC MOHOPOLES IV DECAY PROCESSES by Vila Aall Bawioeili Inatitute of MatheBatica OniTersity of Oslo, Blindern* Norway ABSTRACT The conservation law of basic monopoles and other rules followed by these monopoles in the formation and decay processes of elementary particles are presented and discussed. A new interpretation of the distinction between rapid decay process (commonly ascribed to strong interactions) and slow decay processes (commonly ascribed to weak interactions) is proposed. - 2 - 1. Introduction In a preceding paper (Barricelli, 1983) the configurations identifying the magnetic monopoles shaping various elementary particles and their organization have been described. A list of the magnetic monopoles involved and their main properties is presented in table 1. The configurations of various elementary particles are listed in table 2. The configurations are identified by fitting the calculated masses, electric charges and spins of the various particles to the observed ones. All elementary particles and their magnetically charged components whose configurations are presented in tables 1 and 2 are interpreted as systems formed by various kinds of association 3 1 of the three basic monopoles B ,U1,L , and their anti-particles B3 ,U ,Lj. The purpose of this paper is to describe the way in which the basic monopoles of a decaying particle are distributed among the decay products and interpret some of the phenomena charac- teristic of these processes. A few conservation laws play a fundamental role in all decay processes. One of them is the conservation of the three basic monopoles. 2. The B,U,L conservation law According to this law the three basic monopoles are conserved in every decay process and every interaction process between elementary particles. This means that none of these monopoles can be created or destroyed except in the form of a "monopole-anti- 3 1 1 monopole pair", namely a B B3-pair, U U1-pair or L L1-pair. Decay processes not following this conservation law are apparently impossible in nature. An array of decay processes interpreted on the basis of the B,U,L conservation law is listed in the tables 3A,B,C. The interpretation is made as follows. One compares the B,U,L com- + 1 1 1 position of the decaying particle (for example y =(B3D L L )1 3 1 1 which is composed by the basic monopoles B3B UiL1L L , see table 2) with the composition of the decay products (for example 1 y 1 1 1 + l ve=(D L1)0, v =(B3U L L )0, e =(U1L )0 which all together con- 3 1 1 1 1 tain the basic monopoles B U1L1L1B3U L L U1L ). If there is a difference between the two sets of basic monopoles one may intro- Table 1 Description of magnetic monopoles. Kame Symbol Mass Electric Magnetic Strangeness Charm Spin Configuration M0»l charge charge H-l brief notation e-i Baric B3 9.000213 -1 -3 0 0 0 B 1- Light boson L1 1.000000 0 1 0 0 0 L u-quark U 1.000213 1 0 0 1/2 U l 1 d-quark 1.000000 0 1 0 0 1/2 (BUL)O s-quark (compact) 1.079326 0 1 -1 0 1/2 ((B0)0L)l Sl l- 8-quark (split) 1.068 0 1 l 0 1/2 — Tl c-quark (normal) C 1.572278 1 1 0 1 1/2 ((BS)2L)3 l c-quark (i-version) h 1,562069 1 1 0 1 1/2 ((BT)2L)3 The respective antiparticles B , L , U , D , S , T , C , I have opposite magnetic and electric charges, and opposite strangeness and charm. Lower indexes identify positive magnetic charges? upper indexes identify negative ones. Table 2 Configurations of elementary particles» B A R Y 0 N S Octett qf spin l/2 Decuplett of spin 3/2 Stran- Name and Configurations Name and Configurations geneas mass mass -3 fl(l672) ((BT)1TT)5 -2 5(1321) ((BS)1ET)4 ((BS)lUT)4 5(1530) ((BD)lTT)5 ((BU)lTT)5 -1 E(119O) ((BD)1DS)4 ((BD)1US)4 etc. Z (1385) ((BD)lDT)5 ((BD)lUT)5 etc. 0 n,p(938) ((BUD)4D)1 ((BUD)4U)l A(1232) ((BD)lDD)5 ((BD)lUD)5 etc. A(]115) ((BUD)4S)1 A (2260) ((BJD)4C)l Charmed Lambda baryon of spin l/2 MESONS Nonett of spin 0 Nonett of spin 1 1 0 i (958) ((BL}0UT)4 ? (TT)3 0 i (549) (ST)1 a) (783) (ST)2 ((BT)1(BU)O)1 Kt:!:(886) ((BT)l(BU)l)2 K°(498) ((BT)l(BD)O)l ((BU)1TL)1 K'°(892) ((BT)l(BD)l)2 0 n* (140) ((BU)O(BD)O)I P±(77O) (((BD)1B)1U)2 o 0 n (i35) ((BU)O(BU)O)I p°(77O) (((BU)1B)1U)2 Charmed triplett of spin 0 Charmed triplett of spin 1 0 D°(l863) D'°(2006) 4 0 D (l868) DI±(2OO9) ± ±1 F (2040) Ft:t(2140) Charm-anticharm of spin 0 Charm-anticharm of spin 1 Hc(2970) <l> (3095) (CC)2 L E P T 0 N S El.charge Strangeness Charm (1807) (B(BL)0C)3 ±1 0 ±1 S° (B(BL)0S)2 0 ±1 0 p* (106) (B(BL)0U)l or (BDLL)l ±1 0 o p° (B(BL)OD)1 or (BULL)l 0 0 0 vu(0) (BULL)O 0 0 0 e(0.51l) (UL)0 ±1 0 0 ve(0) (DL)0 0 0 0 - 3 - duce the necessary number of pair formations and/or annihilations in order to bring agreement .(if possible) between the two sets (in the above example the two pairs L1]^ and U1^ are missing in the decaying particle in order to complete the list of basic monopoles appearing in the decay products. These two pairs are recorded in the table as pair formations). A simple way to make sure that the two sets can be converted to one another by pair formations and/or annihilations is to remove in both sets every pair which can be found. If the two sets become identic after the removal they will obviously be reducible into each other by simple pair formations and/or annihilations (in the above example both of the two sets are reduced to the same set UjL1 after such pair removal). In many cases the notation FF is used in the tables 3A,B,C instead of BB,UU in a pair formation or annihilation. F2 is an abbreviation, sometimes designated as heavy fermion, which 1 stands for the (L-0) association (B3U )0. For example the s- quark configuration is often expressed by (FL)1 instead of ((BU)0L)1, the d-quark configuration is often expressed by (FL)0 instead of (BUL)O, and the n°-mesons configuration by (FF)1 instead of ((BU)0(BU)0)1. Likewise can a pair (L-0) associations such as e+e~ be used instead of the corresponding pairs of basic monopoles. If a decay process is possible, the B,U,L conservation law requires that the set of basic monopoles in the decaying particle can be converted into the set of basic monopoles in the decay products by a few pair formations and/or annihilations. But this does not have to be the case if the considered decay process is faulty or impossible. For example one of two faulty decay pro- cesses we have found in the literature (Barricelli, 1978) is the process K+-»n~e+e+, conflicting with the rule that two positively charged leptons can not be produced by a meson decay without pro- ducing an equal number of neutrinos or negatively charged leptons. If we compare the B,U,L composition of the decaying + 1 3 3 3 particle K =((B3T )1(B ^)0)1, which is B3B U1L1B U1, with 1 + 1 + 1 that of the decay products, n~=(F^L )1, e =(U1L )0, e =(U1L )0/ 1 1 1 1 1 namely B3U U L U1L U1L , we find that they are not reducible into one another by pair formations and/or annihilations. In fact, after removing all pairs, the first set becomes B'UiUiLi and the 1 1 1 second one becomes a quite different set, namely B3L L L . Table jA Decay of elewentaxy particles Particle and Mean life Pair, Hev associations ' Annihilations Decay products *of • Configuration (seo) foraed decays LEPTOHS 1 1 6 + II*. (B^L ! )! 2X10" LL.UU (A )0,(B uVlV.fU L^O Va-(DL)O, v -(BULL)O, e -(UL)O,(Y) «»* 3 i i i + 3 BB,LL e -(UL)O, Y, (Y) I©" + + ,-7 UU SB e -(UL)O, e -(UL)O, e"-(UL)O + 3 1 Ve-(DL)O, p -(BPL)l, vs-(DL)O 18 T*- (B (B3L )OC1)3 ? BB leaning 3 x j x x x f + - (B (B L )0((B S )2L )3)3 Lt,UU (B (B L )0D )O,(U1 )0, (B^U 1 I» )0 BB ve-(DL)0, e -(UL)0, v -(BU1L)O 18 UU BB 10 ? OU P+-(((BD)1B)1U)2, \T -(BULL)O 20 ? 1 l 1 1 1 ? 1 + UU,(nFF) ((BJT )l(B I71)0)lf(B30 L l )0,o(S f 2)l K -((BT)1(BU)O)1, vy-(BULL)O, 2 1 1 1 3 + UU,(nPP) (P U1L1)l,(B3U L L )O,(B B3)O,n( BB n -(PUL)l, vp-(BULL)O, nn» etc.
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