Abstract
The Δ excitations in nuclei induced by intermediate energy charge exchange reactions are analyzed within the isobar-hole model. It is shown that the isovector spin-longitudinal (EquationSource% MathType!MTEF!2!1!+- % feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGabm4uayaala % GaeyyXICTabmyCayaalaGabmivayaalaaaaa!3B1C!]></EquationSource><EquationSource Format="TEX"><![CDATA[$\vec S \cdot \vec q\vec T$) response function of nuclei in the Δ resonance region is shifted down in energy by ~ 60 MeV in comparison to the spin-transverse (EquationSource% MathType!MTEF!2!1!+- % feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGabm4uayaala % Gaey41aqRabmyCayaalaGabmivayaalaaaaa!3AE9!]></EquationSource><EquationSource Format="TEX"><![CDATA[$\vec S \times \vec q\vec T$) response function. This shift is consistent with pion and photon total cross section data. The coherent pion decay of the Δ resonance is studied by means of the 12 C(p, nπ +)12 C(g.s.)and 12 C(γ, π 0)12 C(g.s.) coincidence reactions. The calculations show that the coherent pion production cross section provides a unique signature on the nuclear pionic mode. The coherent pions in the charge exchange reactions have a peak energy of E π = 250 MeV and a strongly forward peaked angular distribution. The coherent pions from the pion-photoproduction reaction have a peak energy of E π = 220 MeV and an angular distribution which peaks near θ π = 30°.
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Osterfeld, F., Körfgen, B., Oltmanns, P., Udagawa, T. (1994). Δ Excitations in Nuclei and the Coherent Pion Decay. In: Goeke, K., Hwang, WY.P., Speth, J. (eds) Contemporary Topics in Medium Energy Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9835-7_18
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