INPC07, Yukawa Session, June 3, 2007

Interplay between Yukawa and Tomonaga

in the Birth of Meson

Toshimitsu Yamazaki, Nishina Memorial Foundation

BIRTH OF MESON Early history 1930’s

H. Yukawa1949 N. L.

S. Tomonaga 1965 N. L.

Interaction

Interplay

Y. Nishina (RIKEN)Father of Modern ScienceOne of the discoverers of the muon in 1937

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J (r) = A exp(- r) / r

= mU c / h

Yukawa potential

force range parameter

mass of mediating particle U

For instance,

1935

1932 Discovery of the neutron (Chadwick)1932 Heisenberg theory of nuclear structure1933 spring meeting of JPMS (Sendai) both: 26 years old Yukawa (Kyoto --> Osaka): On the problem of nuclear electrons Nishina suggested a boson Bose electron? Tomonaga (RIKEN): On the proton-neutron interaction using

J (r) = A exp(- r) / r nothing but Yukawa’s interaction !!!

Interplay between Yukawa and TomonagaLetter from Tomonaga to Yukawa ~1933

Yukawa Archive at Yukawa Institute for Fundamental Physics, Kyoto

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In fact, on the “back of the envelo

pe” Yukawa wrote down the electron Compton wavelength ~ 3 x 1010 cm-1 !!

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e = 260 !!, which would mean mU / me = 260

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Tomonaga used the form J(r) = A exp(-r)/r to account for the deuteron binding energy and p (n,) d reaction; yielding 6.5 x 1012 /cm

This letter must have affected Yukawa deeply, but, in the spring of 1933, neither of Yukawa and Tomonaga recognized the importance of the above formula and the implication of .

Tomonaga published in 1936Bethe-Peierls 1935

Tomonaga and Araki 1940 positive and negative meson capture to disentangle the problem of +/- pion/muon

Fermi-Teller-Weisskopf 1947

Yukawa’s acknowledgement to Tomonaga

Yukawa’s 1st paper in 1935

Yukawa’s strugglingin 1933

how can a migrating real particle exist

in nuclei?Bose electron ?force range ? p + e- = n ?

Finally, in 1935, Yukawa arrived at

virtual mediating

particle

a la K. Nishijima

The Yukawa theory A virtual particle mediates strong interaction

mU/me ~ 200 The mesons discovered

Fundamental concept in physics

Heitler-London-Heisenberg scheme: completely abandoned ?

Structure of K-pp Theoretical prediction Y. Akaishi, T.Y.

Proc. Jpn. Acad. Ser. B 83 (200

7) 144

Revival of the Heitler-London-Heisenberg scheme ! Cold Dense Nuclei - Kaon Condensation

Thank you very much