On the $K^+ \to π^0π^0π^0 e^+ ν$ decay

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Autori principali: Karkaryan, E. K., Kiselev, K. V., Obraztsov, V. F., Surkov, I. V., Vysotsky, M. I.
Natura: Preprint
Pubblicazione: 2024
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author Karkaryan, E. K.
Kiselev, K. V.
Obraztsov, V. F.
Surkov, I. V.
Vysotsky, M. I.
author_facet Karkaryan, E. K.
Kiselev, K. V.
Obraztsov, V. F.
Surkov, I. V.
Vysotsky, M. I.
contents The OKA Collaboration has obtained a new upper limit on the $K^+ \to π^0π^0π^0 e^+ ν$ decay probability which is 65 times lower than the one currently listed by PDG. However it is still about $10^{4}$ times worse than the theoretical prediction. It was suggested that production of pionium $A_{2π}$ in the final state of the semileptonic $K^+$ decay with subsequent $A_{2π} \to π^0 π^0$ decay will increase the value of theoretical branching ratio due to the absence of five-particle phase space suppression. The estimates done in our paper show that despite the gain in the phase space the decay $K^+ \to A_{2π}π^0 e^+ ν$ appeares to be strongly suppressed because of the smallness of the pionium wave function at zero $π$ mesons separation.
format Preprint
id arxiv_https___arxiv_org_abs_2412_15407
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the $K^+ \to π^0π^0π^0 e^+ ν$ decay
Karkaryan, E. K.
Kiselev, K. V.
Obraztsov, V. F.
Surkov, I. V.
Vysotsky, M. I.
High Energy Physics - Phenomenology
High Energy Physics - Experiment
The OKA Collaboration has obtained a new upper limit on the $K^+ \to π^0π^0π^0 e^+ ν$ decay probability which is 65 times lower than the one currently listed by PDG. However it is still about $10^{4}$ times worse than the theoretical prediction. It was suggested that production of pionium $A_{2π}$ in the final state of the semileptonic $K^+$ decay with subsequent $A_{2π} \to π^0 π^0$ decay will increase the value of theoretical branching ratio due to the absence of five-particle phase space suppression. The estimates done in our paper show that despite the gain in the phase space the decay $K^+ \to A_{2π}π^0 e^+ ν$ appeares to be strongly suppressed because of the smallness of the pionium wave function at zero $π$ mesons separation.
title On the $K^+ \to π^0π^0π^0 e^+ ν$ decay
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2412.15407