No abstract

Reply: In the preceding Comment [1], Yamashita, Frederico, and Tomio have argued against the possible evolution of a bound Efimov state into a continuum resonance in 20 C, as shown in our work [2]. By using a zero range potential, they find that the Efimov state turns into a virtual state as the n-core interaction increases beyond 160 keV. The mass ratio of the particles, according to them, is not expected to alter the result. We would like to emphasize, at the very outset, the cardinal role of channel couplings in the emergence of the resonant states as discussed in our Letter [2]. The definite observation that the mass ratios do play a role in the evolution of the Efimov states into resonances or virtual states emerges from our numerical analysis. We have carried out a comparative study (to be reported in a separate communication) of three equal masses vis-a-vis one heavy (core) and two equal (light) masses. For three equal masses, the peak shifts to zero, and the scattering length turns out to be negative, signaling, thereby, the existence of a virtual state in the three-body system. This is in contrast to the unequal case of, say, 20 C, where the peak of the resonant structure occurs at a finite energy away from the zero, and the corresponding scattering length is positive. The resonant nature of the peak structure in the scattering cross section has also been diagnosed and established by plotting the behavior of the Ref k and Imf k in a unit circle as shown in Fig. 3 of [3]. However, as mentioned in the beginning, we have also put forth a far more elegant and physically plausible explanation of the resonance due to the strong coupling of the two pathways leading to the final state and the subsequent emergence of the Fano type resonance.The authors of the Comment have also dwelt upon and have attempted to justify the use of zero range interaction in their work. For Borromean nuclei, the scattering length corresponding to the n-core interaction is much much greater than the range of the potential and allows for the use of zero range interaction. However, the situation is not so for non-Borromean nuclei like 20 C. For n-18 C binding energy of about 200 keV, in our region of interest, the corresponding scattering length is about 10 fm while the interaction range is about 1 fm.The authors of the preceding Comment themselves had also studied the 20 C nucleus and reported the possibility of at least one Efimov state in the region of 50 keV < E nc < 200 keV [4]. They noticed the disappearance of the Efimov state for E nc > 200 keV. Our analysis in [5] was in conformity with their findings. In addition, we also noticed in subsequent work the possibility of the occurrence of a second Efimov state at lower two-body binding energies [3]. In such a scenario, the use of zero range interaction is valid for bound states in Borromean nuclei. However, to extend the investigation to study finer details of the movement of Efimov states in non-Borromean nuclei may be questionable.Generally speaking, Efimov physics does not depen...

No abstract

Within the framework of the constituent quark model and a generalized Pauli principle, the diquark interaction energies in quark–gluon plasma are explicitly calculated. In particular, two-diquark interaction energies are computed using ϕ4-terms in the effective Lagrangian in the spirit of the Donoghue and Sateesh model (1988 Phys. Rev. D 38 360). We also account for the extended character of the diquark. These results are used to determine the coupling strengths for a variety of colour–spin two-diquark states. Equations of state for the diquark matter for a variety of cases are derived and subsequently the Tolman–Oppenheimer–Volkoff equations for the masses and radii of diquark stars are solved. In this work, we restrict ourselves to the study of only the non-strange version of diquarks.

No abstract