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SUMMARY:Longitudinal-momentum and Coulomb effects in inclusive deuteron br
 eakup on hydrogen and carbon
DTSTART;VALUE=DATE-TIME:20260922T132000Z
DTEND;VALUE=DATE-TIME:20260922T132500Z
DTSTAMP;VALUE=DATE-TIME:20260914T044134Z
UID:indico-contribution-515@indico.bitp.kiev.ua
DESCRIPTION:Speakers: Yaroslav KRYVENKO-EMETOV (National Technical Univers
 ity of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" & Institute for 
 Nuclear Research)\nYa. D. Krivenko-Emetov$^{1\,2\,3\,*}$ and B. I. Sydoren
 ko$^{2\,\\dagger}$\n\n$^{1}$National Technical University of Ukraine "Igor
  Sikorsky Kyiv Polytechnic Institute"\, Kyiv\, Ukraine\;$^{2}$Institute fo
 r Nuclear Research\, National Academy of Sciences of Ukraine\, Kyiv\, Ukra
 ine\;$^{3}$Taras Shevchenko National University of Kyiv\, Kyiv\, Ukraine$^
 {*}$y.kryvenko-emetov@kpi.ua\; $^{\\dagger}$former member of KINR NASU\n\n
 Inclusive zero-angle deuteron breakup probes the deuteron wave function an
 d the short-distance reaction mechanism. We present a unified Glauber--Sit
 enko multiple-diffraction description of the $H(d\,p)X$ and $^{12}C(d\,p)X
 $ spectra. The formulation develops the diffraction approach used in our w
 ork with A. P. Kobushkin [1] and continues the MSDT treatment of few-nucle
 on-cluster breakup\, including diffractive triton dissociation by incident
  protons [2]. In addition to the longitudinal transfer $Q_z$\, we explicit
 ly retain a nonzero transverse relative momentum of the final $pn$ pair in
  the antilaboratory system: $k_{\\perp}=p_{\\perp}-Q_{\\perp}/2\\ne0$\, wh
 ile $k_z=p_3^{*}$.\n\nFor $H(d\,p)X$\, retaining small $Q_z$ and transvers
 e relative momentum changes the height and position of the quasifree maxim
 um. Calculations with the multigaussian K2\, AV18\, and Nijm-I wave functi
 ons show that this refinement is essential for quantitative comparison wit
 h the spectrum and provides a controlled nucleonic baseline at large $|k_z
 |$ [3].\n\nFor $^{12}C(d\,p)X$\, the same kinematics is supplemented by th
 e proton--nucleus electromagnetic interaction\, Coulomb--nuclear interfere
 nce\, and the Coulomb correction to double $pn$ rescattering [4]. An analy
 tical Coulomb phase is obtained for a finite charge distribution\, with it
 s scale fixed by the measured $^{12}$C charge radius. To first order in th
 e Sommerfeld parameter\,\n\n$$F_{\\rm tot}=F_{\\rm str}+\\Delta F_{Cp}+\\D
 elta F_{Cpn}+O(\\eta^2)\,$$\n\nwhere $\\Delta F_{Cp}$ corrects the proton 
 line and $\\Delta F_{Cpn}$ corrects double $pn$ rescattering. Thus Coulomb
 --nuclear interference is retained\, and the two-dimensional rescattering 
 term is reduced to a one-dimensional radial integral\, extending earlier C
 oulomb treatments of $A(d\,p)X$ breakup [1].\n\n\n\n**Figure 1.** Results 
 for $^{12}C(d\,p)X$. Left panel: K2 wave function with $\\sigma_{pN}=390$ 
 mb\, $\\beta_p=1.22$ fm$^{-1}$\, $\\mu=0.25$ fm\, $a=1$\, $k_x=10^{-4}$ Ge
 V/$c$\, and $Q_z=-2.5\\times10^{-3}$ GeV/$c$. Right panel: Nijm-I wave fun
 ction with $\\sigma_{pN}=350$ mb\, $\\rho_{pN}=10^{-4}$\, $p_d=9.1$ GeV/$c
 $\, $\\beta_p=2.19$ fm\, $\\mu=10^{-6}$\, $a=\\alpha_L=1$\, $k_x=-0.26$ Ge
 V/$c$\, $k_y=0$\, and $Q_z=-2.5\\times10^{-3}$ GeV/$c$. The calculated gri
 d is $-0.10\\leq k_z\\leq0.25$ GeV/$c$ with $\\Delta k_z=0.0125$ GeV/$c$. 
 Therefore\, $k_\\perp=0.26$ GeV/$c$ and is nonzero in the antilaboratory s
 ystem. Red curve: strong MSDT\; green curve: MSDT with Coulomb\; blue poin
 ts: 2019 data [5].\n\n\nBoth the K2 and Nijm-I calculations show that Coul
 omb--nuclear interference increases the narrow quasifree peak and improves
  its normalization\, while becoming small at $0.3$--$0.5$ GeV/$c$. Thus\, 
 $Q_z$ and $k_\\perp$ govern the kinematic displacement and broadening\, wh
 ereas the finite-size Coulomb interaction mainly renormalizes the low-mome
 ntum peak. This provides a baseline for final-state interactions and for r
 elativistic refinements not included here: invariant flux and phase-space 
 Jacobians\; Lorentz boosts between the antilaboratory and final-$pn$ cente
 r-of-mass frames\; a covariant or light-front deuteron wave function with 
 spin rotations\; D-wave and nonnucleonic components.\n\nReferences\n\n[1] 
 A. P. Kobushkin and Ya. D. Krivenko-Emetov\, Ukr. J. Phys. 53\, 751 (2008)
 \, arXiv:0712.1151 [nucl-th].\n\n[2] V. K. Tartakovsky\, A. V. Fursaev\, a
 nd B. I. Sidorenko\, Phys. At. Nucl. 68\, 33--41 (2005)\, doi:10.1134/1.18
 58555.\n\n[3] Ya. D. Krivenko-Emetov and B. I. Sydorenko\, Nucl. Phys. At.
  Energy 27\, 16 (2026).\n\n[4] Ya. D. Krivenko-Emetov and B. I. Sydorenko\
 , arXiv:2607.17222 [nucl-th] (2026).\n\n[5] I. Sitnik\, EPJ Web Conf. 204\
 , 10011 (2019).\n\nKeywords: deuteron\; inclusive breakup\; Glauber--Siten
 ko theory\; longitudinal momentum transfer\; Coulomb--nuclear interference
 \; deuteron wave function\n\nhttps://indico.bitp.kiev.ua/event/18/contribu
 tions/515/
LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall
URL:https://indico.bitp.kiev.ua/event/18/contributions/515/
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