New limit on the neutron-antineutron transitions

Nazaruk, V. I.

doi:10.1016/0370-2693(94)90983-0

Cited by 29 publications

(41 citation statements)

References 9 publications

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“…We also note that decay (14) can be calculated by means of the usual field-theoretical approach, but the problem should be formulated on the finite time interval [22] since fig. 4a contains an infrared singularity.…”

Section: Unitarity and Self-energymentioning

confidence: 99%

Absorption in the final state in reactions and decays in the medium

Nazaruk

2007

Eur. Phys. J. A

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The role of strong absorption of particles in intermidiate and final states has been considered. The range of applicability of phenomenological model of absorption has been studied. This model is nonuniversal. Its applicability depends on the type of interaction Hamiltonian and matrix element used. We also demonstrate that the violation of the unitarity condition can produce a qualitative error in the results. The absorption (decay) in the final state does not tend to suppress the total process probability as well as the probability of the channel corresponding to absorption. This is true for the reactions, decays and nn conversion in the medium.

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Section: Unitarity and Self-energymentioning

confidence: 99%

Absorption in the final state in reactions and decays in the medium

Nazaruk

2007

Eur. Phys. J. A

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“…Equations (5) given above should be considered, not (7). For nn transitions in the medium [9][10][11][12][13] the coupled equations type of (5) for the non-stationary states are solved as well as for any ab-oscillations.…”

Section: Wave Functionsmentioning

confidence: 99%

“…In this connection an alternative calculation based on the perturbation theory has been proposed [8]. The similar approach is well studied for nn transitions in the medium [9][10][11]. Since the result obtained in Ref.…”

Section: Introductionmentioning

confidence: 99%

Kaon regeneration

Nazaruk

2016

Int. J. Mod. Phys. E

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“…In a recent letter [1], Nazaruk claims to have increased the limit obtained from the stability of nuclei on the free-space n →n oscillation time [2][3][4] by 31 orders of magnitude. In view of the startling nature of this claim, it is important to carefully inspect the derivation of this result.…”

Section: Introductionmentioning

confidence: 99%

“…

AbstractWe refute a recent claim by Nazaruk that the limits placed on the freespace neutron-antineutron oscillation time τ nn can be improved by many orders of magnitude with respect to the estimate τ nn > 2(T 0 /Γ) 1/2 , where T 0 is a measured limit on the annihilation lifetime of a nucleus and Γ ∼ 100 MeV is a typical antineutron-nucleus annihilation width.In a recent letter [1], Nazaruk claims to have increased the limit obtained from the stability of nuclei on the free-space n →n oscillation time [2][3][4] by 31 orders of magnitude. In view of the startling nature of this claim, it is important to carefully inspect the derivation of this result.

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confidence: 99%

Limits on the neutron-antineutron oscillation time from the stability of nuclei

1995

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We refute a recent claim by Nazaruk that the limits placed on the freespace neutron-antineutron oscillation time τ nn can be improved by many orders of magnitude with respect to the estimate τ nn > 2(T 0 /Γ) 1/2 , where T 0 is a measured limit on the annihilation lifetime of a nucleus and Γ ∼ 100 MeV is a typical antineutron-nucleus annihilation width.In a recent letter [1], Nazaruk claims to have increased the limit obtained from the stability of nuclei on the free-space n →n oscillation time [2][3][4] by 31 orders of magnitude. In view of the startling nature of this claim, it is important to carefully inspect the derivation of this result. In this note, we point out a specific error in Nazaruk's derivation. Correcting it, one obtains a limit of the same order of magnitude as given by previous authors [2-4] who used potential models for the n-nuclear andn-nuclear dynamics. We also explain in very simple terms the origin of the standard limit.Nazaruk's framework is that of the S matrix in the diagrammatic approach. For neutron-antineutron oscillations in the nucleus, he writes down (Eq. (17) of Ref.[1]) the probability W (t) for the transition at time t aswherenn characterizes the free-space oscillation, and Wn is given by Eq. (12) of Ref.[1] (after noting that Wn = −2iTn ii by comparing Eqs. (16) and (17)):We will follow Ref.[1] in demonstrating the result for the oversimplified case where then-nuclear dynamics is reduced to just a width factor, H = −iΓ/2, with Γ ∼ 100 MeV being a typical value. The introduction of real potentials for the n andn does not change the order of magnitude of the result [3,4]. The r.h.s. of Eq. (2) is easily evaluated, resulting in Wn(t α , t β ) = 2(1 − exp[−Γ(t α − t β )/2]),which replaces Nazaruk's Eq. (18) Wn(t α , t β ) = 1 − exp[−Γ(t α − t β )].1

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New limit on the neutron-antineutron transitions

Cited by 29 publications

References 9 publications

Absorption in the final state in reactions and decays in the medium

Absorption in the final state in reactions and decays in the medium

Kaon regeneration

Limits on the neutron-antineutron oscillation time from the stability of nuclei

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