Resonance-like structure near the 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>η</mml:mi><mml:mi>d</mml:mi></mml:mrow></mml:math>
 threshold in the 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>γ</mml:mi><mml:mi>d</mml:mi><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mi>η</mml:mi><mml:mi>d</mml:mi></mml:mrow></mml:math>
 reaction

Ishikawa, T.; Fujimura, H.; Fukasawa, Hiroshi; He, Q.; Honda, Y.; Iwata, T.; Kaida, S.; Kasagi, J.; Kawano, A.; Kuwasaki, S.; Maeda, K.; Masumoto, S.; Miyabe, M.; Miyahara, F.; Mochizuki, K.; Muramatsu, N.; Nakamura, Akihiko; Nawa, K.; Ogushi, S.; Okada, Y.; Okamura, Koji; Onodera, Y.; Ozawa, K.; Sakamoto, Y.; Sato, M.; Shimizu, H.; Sugai, H.; Suzuki, K.; Tajima, Y.; Takahashi, Shinichiro; Taniguchi, Yusuke; Tsuchikawa, Y.; Yamazaki, H.; Yamazaki, Ryuichi; Yoshida, Hiroshi

doi:10.1103/physrevc.104.l052201

Cited by 11 publications

(12 citation statements)

References 64 publications

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“…[42][43][44][45]. It can be seen that the shape of the data [23] on the differential cross section can already be reproduced with the impulse approximation, and that the magnitude is substantially sensitive to the choice of the wave function considered in the calculations.…”

Section: Resultsmentioning

confidence: 91%

“…As to using the results of the reaction to claim a possible ηd bound state, as claimed in Refs. [23,24], it is a difficult task given the intrinsic uncertainties of the conventional mechanisms disclosed by our calculations. The striking experimental shape of the angular distribution will require further thoughts along other mechanisms not envisaged by us, and any other theoretical calculation so far, that help share the momentum transfer, which is extremely large for forward deuteron angles.…”

Section: Discussionmentioning

confidence: 98%

“…The γd → π 0 ηd reaction cross section and the π 0 d, ηd invariant mass distributions were reported in Ref. [23] and further mass and angular distributions have been recently reported in Ref. [24].…”

Section: Introductionmentioning

confidence: 93%

“…One of the aims of the work of Refs. [23,24] was to show that the data demanded the presence of a bound ηd state or maybe a virtual state, and the shift of the peaks of π 0 d, ηd invariant mass distributions with respect to the phase space distributions were considered in Ref. [23] as a signal of the presence of this bound state.…”

Section: Introductionmentioning

confidence: 99%

“…[23,24] was to show that the data demanded the presence of a bound ηd state or maybe a virtual state, and the shift of the peaks of π 0 d, ηd invariant mass distributions with respect to the phase space distributions were considered in Ref. [23] as a signal of the presence of this bound state. We shall see in the present work that these shifts are tied to the dynamics of the γp → π 0 ηp reaction, something that is also found using the model of Ref [13] at the level of the impulse approximation in Ref.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Theoretical study of the $γd \to π^0ηd$ reaction

Torres¹,

Khemchandani²,

Oset³

2022

Preprint

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We have done a theoretical study of the γd → π 0 ηd reaction starting with a realistic model for the γN → π 0 ηN reaction that reproduces cross sections and polarization observables at low energies and involves the γN → ∆(1700) → η∆(1232) → ηπ 0 N process. For the coherent reaction in the deuteron we considered the impulse approximation together with the rescattering of the π 0 and the η on a different nucleon than the one where they are produced. We found this second mechanism very important since it helps share between two nucleons the otherwise large momentum transfer of the reaction. We find a natural explanation, tied to the dynamics of our model, for the shift of the η − d mass distribution to lower invariant masses, and of the π 0 − d mass distribution to larger invariant masses, compared to a phase space calculation. We also study theoretical uncertainties related to the large momenta of the deuteron wave function involved in the process. Striking differences are found with the experimental angular distribution and a discussion is done around this issue.

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