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 Single elementary particles

 

 

 

 

 

Table 2 is constructed using equations (1) and the proposed wave fraction compaction.

Col. (a) gives a reference number for finding the PDG reference.

Col. (b) gives the radius using PDG mass values and equation 1 to find the radius.

Cols. (c) and (d) Give the maximum and minimum radii using the PDG experimental margin of error values.

Col. (e) gives the nearest theoretical fraction.

Col. (f) gives the theoretical radius [fraction (e) of graviton radius].

 

To make a quick assessment see graphs below table

 

 

 

 

 

 

 

 

TABLE 2 (leptons and quarks)

 

calculated from

 

 

 

 

Particle Data Group listing

CLF theory

Ref. No.

radius

+

-

fraction

radius

a

b

c

d

e

f

116

0.2

1.690764552

-0.030162647

0.5

4.22691138

117

0.2

1.690764552

-0.148449976

0.5

4.22691138

113

0.2

1.690764552

-0.061041321

0.333333333

2.817940920

112

0.2

1.690764552

-0.190219916

0.333333333

2.817940920

114

0.2

1.690764552

-0.063828225

0.333333333

2.817940920

115

0.2

1.690764552

-0.125794074

0.2

1.690764552

118

0.2

1.690764552

-0.078514982

0.2

1.690764552

58

1.384581506

1.33330071

1.439964767

0.166666667

1.40897046

59

1.309058879

1.263126988

1.358457327

0.142857143

1.207688966

51

1.210054426

1.107665205

1.33330071

0.142857143

1.207688966

61

1.190053526

1.124972474

1.263126988

0.142857143

1.207688966

47

1.176441803

1.160326162

1.230739117

0.142857143

1.207688966

56

1.170703062

1.090882399

1.263126988

0.142857143

1.207688966

53

1.14282918

1.118853743

1.167854636

0.142857143

1.207688966

 

54

1.14282918

1.107665205

1.180298989

0.142857143

1.207688966

52

1.11711774

1.08105463

1.155669957

0.142857143

1.207688966

49

1.116251757

1.058797623

1.180298989

0.142857143

1.207688966

62

1.107665205

0.899977979

1.439964767

0.125

1.056727845

55

1.10681381

1.078625293

1.136515207

0.125

1.056727845

57

1.104267459

1.081866842

1.127615322

0.125

1.056727845

50

1.091709452

1.069016159

1.115387116

0.125

1.056727845

48

1.082680276

1.006968368

1.170703062

0.125

1.056727845

60

1.051069173

0.986277237

1.124972474

0.125

1.056727845

1

0.847038098

0.719982383

1.028546262

0.1

0.845382276

63

0.80444959

0.663578234

1.021251608

0.090909091

0.768529342

3

0.626071638

0.533320284

0.757876193

0.071428571

0.603844483

27

0.533320284

0.521726365

-0.712853845

0.0625

0.528363923

2

0.496539575

0.411418505

0.626071638

0.058823529

0.497283692

5

0.479988256

0.389179667

0.626071638

0.055555556

0.46965682

29

0.423519049

0.410246372

0.43767926

0.05

0.422691138

16

0.417381092

0.401104392

0.443066082

0.05

0.422691138

28

0.399990213

0.396684509

-1.33330071

0.047619048

0.402562989

86

0.378938097

0.359991192

0.399990213

0.045454545

0.384264671

4

0.369221735

0.287992953

0.514273131

0.043478261

0.367557511

6

0.369221735

0.32726472

0.423519049

0.043478261

0.367557511

18

0.369221735

0.31999217

0.43635296

0.043478261

0.367557511

19

0.369221735

0.31999217

0.43635296

0.043478261

0.367557511

90

0.368277434

0.055575637

-0.079600042

0.043478261

0.367557511

77

0.364548042

0.338815239

0.394510895

0.043478261

0.367557511

79

0.355546856

0.309669842

0.417381092

0.041666667

0.352242615

15

0.351210919

0.32726472

0.464504763

0.041666667

0.352242615

91

0.347817577

0.039844072

-0.051685742

0.041666667

0.352242615

92

0.346979462

0.118515619

-0.374016823

0.04

0.33815291

66

0.345315292

0.315090759

0.381953519

0.04

0.33815291

70

0.343667009

0.28290074

0.43767926

0.04

0.33815291

93

0.343667009

0.141311557

0.406769708

0.04

0.33815291

71

0.342848754

#VALUE!

#VALUE!

0.04

0.33815291

82

0.342848754

0.320704848

0.368277434

0.04

0.33815291

 

 

88

0.342848754

0.313035819

0.369221735

0.04

0.33815291

74

0.34227829

0.334331267

0.378241336

0.04

0.33815291

78

0.342034386

0.299368974

0.398882207

0.04

0.33815291

80

0.342034386

0.328010197

0.357311357

0.04

0.33815291

89

0.342034386

0.276384792

0.448587155

0.04

0.33815291

65

0.341223878

0.298747877

0.397780322

0.04

0.33815291

67

0.341223878

0.333325177

0.349506011

0.04

0.33815291

69

0.341223878

0.305077281

0.387087303

0.04

0.33815291

22

0.340417203

0.318576276

0.365473291

0.04

0.33815291

73

0.339614332

0.291490843

0.406769708

0.04

0.33815291

68

0.338815239

0.290901973

0.405623878

0.04

0.33815291

85

0.338815239

0.279604809

0.429840229

0.04

0.33815291

87

0.338815239

0.296899952

0.394510895

0.04

0.33815291

72

0.332555373

0.265186882

0.445809525

0.04

0.33815291

75

0.332555373

0.311007509

0.432421852

0.038461538

0.325147029

76

0.331331055

0.320990808

0.347314223

0.038461538

0.325147029

 

 

14

0.32726472

0.31999217

0.359991192

0.038461538

0.325147029

21

0.32726472

0.224994495

0.599985319

0.038461538

0.325147029

64

0.32726472

0.306375482

0.351210919

0.038461538

0.325147029

83

0.32453567

0.297697905

0.356691793

0.038461538

0.325147029

84

0.323296984

0.254680716

0.44252144

0.038461538

0.325147029

24

0.31999217

0.293870361

0.351210919

0.038461538

0.325147029

31

0.31999217

0.312356782

0.328010197

0.038461538

0.325147029

20

0.315090759

0.303150477

0.328010197

0.037037037

0.313104547

25

0.313035819

0.248269787

0.423519049

0.037037037

0.313104547

26

0.306375482

0.285707295

0.378938097

0.035714286

0.301922241

81

0.306375482

0.214920114

0.533320284

0.035714286

0.301922241

7

0.276916301

0.236059798

0.334875527

0.032258065

0.27270396

17

0.271691465

0.257136565

0.287992953

0.032258065

0.27270396

8

0.224994495

0.194589833

0.313035819

0.026315789

0.22246902

9

0.205709252

0.177773428

0.244061825

0.024390244

0.206190799

10

0.194589833

0.177773428

0.214920114

0.025

0.211345569

120

0.063434571

0.033722828

0.533320284

0.007518797

0.063562577

119

0.063156349

0.039023435

0.165513192

0.007462687

0.06308823

35

0.018946905

0.018924494

0.018969369

0.002242152

0.01895476

33

0.017777343

0.017757612

0.017797117

0.00210084

0.017760132

37

0.017041003

0.01702086

0.017061194

0.002016129

0.017043998

42

0.016363236

0.016353944

0.016372539

0.001934236

0.016351688

39

0.015651791

0.01564159

0.015662005

0.001851852

0.015655227

34

0.015483492

0.015475172

0.015491821

0.001831502

0.015483192

109

0.015157524

0.014545099

0.015823789

0.001792115

0.01515022

44

0.014545099

0.014531888

0.014548773

0.00172117

0.014550469

45

0.014399648

0.014293873

0.014506999

0.001703578

0.014401742

110

0.014399648

0.01263127

0.016743776

0.001703578

0.014401742

41

0.01398024

0.0139033

0.014058037

0.001652893

0.013973261

105

0.01398024

0.012743051

0.015483492

0.001652893

0.013973261

97

0.01371395

0.01180299

0.016363236

0.001623377

0.013723738

38

0.013584573

0.013580602

0.013588547

0.001607717

0.013591355

103

0.012972656

0.011707031

0.014545099

0.001533742

0.012965986

102

0.01263127

0.011428292

0.014117302

0.001494768

0.012636506

43

0.012521433

0.012514903

0.012527969

0.001481481

0.012524182

100

0.012521433

0.011707031

0.013457615

0.001481481

0.012524182

106

0.012521433

0.010666406

0.015999609

0.001481481

0.012524182

36

0.012413489

0.012402797

0.0124242

0.001468429

0.012413837

94

0.012413489

0.011249725

0.012598117

0.001468429

0.012413837

40

0.012307391

0.012300032

0.012314759

0.001455604

0.012305419

98

0.012203091

0.010666406

0.014257077

0.001443001

0.012198878

95

0.011519718

0.011338305

0.012347494

0.001362398

0.01151747

101

0.011162518

0.009930791

0.012743051

0.001321004

0.011167533

96

0.011076652

0.010359459

0.01263127

0.001310616

0.011079715

108

0.010285463

0.009290095

0.011519718

0.001216545

0.010284456

111

0.010285463

0.007825895

0.016940762

0.001216545

0.010284456

104

0.009729492

0.007346759

0.014399648

0.001150748

0.00972822

107

0.009473452

0.008044496

0.011519718

0.001121076

0.00947738

99

0.008470381

0.008323496

0.008780273

0.001002004

0.008470764

 

Ref. No.

 

Particle Data Group listing

 

 

1

1.7

0.3 

1 AUBIN 04A LATT MS scheme 

 

2

2.9

0.6

2 JAMIN 02 THEO MS scheme 

 

3

2.3

0.4

3 NARISON 99 THEO MS scheme 

4

3.9

1.1

4 JAMIN 95 THEO MS scheme 

 

5

3

0.7

5 NARISON 95C THEO MS scheme 

6

3.9

0.5

6 AUBIN 04A LATT MS scheme 

 

7

5.2

0.9

7 JAMIN 02 THEO MS scheme 

 

8

6.4

1.1 8 

NARISON 99 THEO MS scheme 

 

9

7

1.1 

9 JAMIN 95 THEO MS scheme 

 

10

7.4

0.7 

10 NARISON 95C THEO MS scheme 

14

4.4

0.1 0.4 

14 BECIREVIC 03 LATT MS scheme 

15

4.1

0.3 1.0 

15 CHIU 03 LATT MS scheme 

 

16

3.45

+0.14 -0.2  

16 ALIKHAN 02 LATT MS scheme

17

5.3

0.3 

17 CHIU 02 LATT MS scheme 

 

18

3.9

0.6 

18 MALTMAN 02 THEO MS scheme 

19

3.9

0.6 

19 MALTMAN 01 THEO MS scheme 

20

4.57

0.18 

20 AOKI 00 LATT MS scheme 

 

21

4.4

21 GOECKELER 00 LATT MS scheme 

22

4.23

0.29 

22 AOKI 99 LATT MS scheme

 

24

4.5

0.4 

24 BECIREVIC 98 LATT MS scheme 

25

4.6

1.2 

25 DOSCH 98 THEO MS scheme 

 

26

4.7

0.34.9

a

 

0.31

,2 GRAY 05 LATT 

 

27

2.7

 0.06 4.72

a

 

 0.07

3 AUBERT 04X THEO

 

28

3.6

0.03 4.68

a

 

 0.03

4 BAUER 04 THEO 

 

29

3.4

0.11

4.720000

 

0.12 2

5 HOANG 04 THEO 

 

31

4.5

0.11

4.760000

 

0.12 2

6 MCNEILE 04 LATT 

 

33

81

0.09

4.740000

 

0.10 

7 BAUER 03 THEO

 

34

93

0.05

4.660000

 

0.05

8 BORDES 03 THEO 

 

35

76

0.09 

4.670000

 

0.10

9 CORCELLA 03 THEO

 

36

116

0.10

4.840000

 

0.11 2

10 DEDIVITIIS 03 LATT 

 

37

84.5

0.10

4.720000

 

0.11

11 EIDEMULLER 03 THEO

 

38

106

0.031

4.682000

 

0.035

12 ERLER 03 THEO

 

39

92

0.06

4.820000

 

0.07

13 MAHMOOD 03 THEO

 

40

117

0.070

4.837000

 

0.078

14 PENIN 02 THEO

 

41

103

0.57 

4.400000

 

0.63

15 ABBIENDI 01S OPAL

 

42

88

0.05

4.690000

 

0.06

16 KUHN 01 THEO

 

43

115

0.06

4.510000

 

0.07

17 NARISON 01B THEO 

 

44

99

0.090 0.025

4.690000

 

0.100 0.028

18 PINEDA 01 THEO

 

45

100

0.74  

5.230000

 

0.82 

19 BARATE 00V ALEP

 

               

 

62

 

1.3 0.3 0.3 16 ASTIER 00D NOMD 

 

 

63

1.79 0.38 17 VILAIN 99 THEO MS scheme 

 

 

64

4.4

0.3 

1 AUBIN 04A LATT MS scheme 

 

65

4.22

0.6

2 JAMIN 02 THEO MS scheme 

 

66

4.17

0.4

3 NARISON 99 THEO MS scheme 

67

4.22

1.1

4 JAMIN 95 THEO MS scheme 

 

68

4.25

0.7

5 NARISON 95C THEO MS scheme 

69

4.22

0.5

6 AUBIN 04A LATT MS scheme 

 

70

4.19

0.9

7 JAMIN 02 THEO MS scheme 

 

71

4.2

1.1 8 

NARISON 99 THEO MS scheme 

 

72

4.33

1.1 

9 JAMIN 95 THEO MS scheme 

 

73

4.24

0.7 

10 NARISON 95C THEO MS scheme 

74

4.207

0.1 0.4 

14 BECIREVIC 03 LATT MS scheme 

75

4.33

0.3 1.0 

15 CHIU 03 LATT MS scheme 

 

76

4.346

+0.14 -0.2  

16 ALIKHAN 02 LATT MS scheme

77

3.95

0.3 

17 CHIU 02 LATT MS scheme 

 

78

4.21

0.6 

18 MALTMAN 02 THEO MS scheme 

79

4.05

0.6 

19 MALTMAN 01 THEO MS scheme 

80

4.21

0.18 

20 AOKI 00 LATT MS scheme 

 

81

4.7

21 GOECKELER 00 LATT MS scheme 

82

4.2

0.29 

22 AOKI 99 LATT MS scheme

 

83

4.437

0.4 

24 BECIREVIC 98 LATT MS scheme 

84

4.454

1.2 

25 DOSCH 98 THEO MS scheme 

 

85

4.25

0.9 

26 PRADES 98 THEO MS scheme 

86

3.8

0.2 

27 EICKER 97 LATT MS scheme 

 

87

4.25

0.6 

28 GOUGH 97 LATT MS scheme 

 

88

4.2

0.4 0.3 

29 GUPTA 97 LATT MS scheme 

 

89

4.21

1.0 

31 BIJNENS 95 THEO MS scheme 

90

3.91

22 

33 GAMIZ 05 THEO MS scheme

91

4.14

32 

34 NARISON 05 THEO MS scheme

92

4.15

35 AUBIN 04 LATT MS scheme

 

93

4.19

6 0.65 

36 AOKI 03 LATT MS scheme

 

94

116

+12 -1.7

37 AOKI 03B LATT MS scheme 

 

95

125

2 8 38 

BECIREVIC 03 LATT MS scheme

 

96

130

9 16 

39 CHIU 03 LATT MS scheme

 

97

105

17 

40 GAMIZ 03 THEO MS scheme

 

98

118

17 

41 GAMIZ 03 THEO MS scheme

 

99

170

+3 -6

42 ALIKHAN 02 LATT MS scheme 

100

115

43 CHIU 02 LATT MS scheme

 

101

129

16

44 JAMIN 02 THEO MS scheme

 

102

114

12 

45 MALTMAN 02 THEO MS scheme

103

111

12 

55 BECIREVIC 98 LATT MS scheme

104

148

48 

56 CHETYRKIN 98 THEO MS scheme

105

103

10 

57 CUCCHIERI 98 LATT MS scheme

106

115

+20 -25

46 CHEN 01B THEO MS scheme 

 

107

152

27 

47 KOERNER 01 THEO MS scheme

108

140

15 

48 AOKI 00 LATT MS scheme

 

109

95

49 GOECKELER 00 LATT MS scheme

110

100

14 

50 AOKI 99 LATT MS scheme 

 

111

140

+44 -55

51 BARATE 99R ALEP MS scheme 

112

0.43

8

52 MALTMAN 99 THEO MS scheme

113

0.41

24 

53 NARISON 99 THEO MS scheme

114

0.44

23 

54 PICH 99 THEO MS scheme

 

115

0.553

12 

55 BECIREVIC 98 LATT MS scheme

116

0.26

48 

56 CHETYRKIN 98 THEO MS scheme

117

0.3

10 

57 CUCCHIERI 98 LATT MS scheme

118

0.66

19 

58 DOMINGUEZ 98 THEO MS scheme

119

22.8

14.1 

59 CHETYRKIN 97 THEO MS scheme

120

22.7

20 

61 EICKER 97 LATT MS scheme 

 

47

1.2240.017 0.054 1 HOANG 06 THEO MS scheme 

 

 

 

48

1.33 0.10 2 AUBERT 04X THEO MS scheme 

 

 

 

 

49

1.29 0.07 3 HOANG 04 THEO MS scheme 

0.06 

4.710000

 

0.03

20 HOANG 00 THEO

50

1.3190.028 4 DEDIVITIIS 03 LATT MS scheme 

 

 

 

51

1.19 0.11 5 EIDEMULLER 03 THEO MS scheme 

+0.045 -0.061

4.938000

 

+0.05 -0.061

21 LUCHA 00 THEO

52

1.2890.043 6 ERLER 03 THEO MS scheme 

+0.045 -0.061

4.957000

 

+0.050 -0.061

21 PINEDA 00 THEO

53

1.26 0.02 7 ZYABLYUK 03 THEO MS scheme 

0.08

4.730000

 

0.09 

22 BENEKE 99 THEO 

54

1.26 0.04 0.12 8 BECIREVIC 02 LATT MS scheme 

+0.77 -0.4

4.230000

 

+0.86 -0.4

23 BRANDENB... 99

55

1.3010.034 9 ROLF 02 LATT MS scheme 

0.09 

4.730000

 

0.10 

24 HOANG 99 THEO

56

1.23 0.09 10 EIDEMULLER 01 THEO MS scheme 

0.

14.670000

 

0.11

25 MELNIKOV 99 THEO

57

1.3040.027 11 KUHN 01 THEO MS scheme 

0.11  

4.690000

 

0.12

26 PENIN 99 THEO 

58

1.04 0.04 12 MARTIN 01 THEO MS scheme 

 0.67  

4.350000

 

0.75 

27 ABREU 98I DLPH

59

1.1 0.04 13 NARISON 01B THEO MS scheme 

0.04 

4.610000

 

0.05

28 KUEHN 98 THEO 

60

1.37 0.09 14 PENARROCHA01 THEO MS scheme 

0.05  0.20

4.620000

 

0.06 0.22 

29 GIMENEZ 97 LATT

61

1.2100.070 0.080 15 PINEDA 01 THEO MS scheme 

0.06 

4.660000

 

0.07

30 JAMIN 97 THEO