(CNN) -- A former police officer convicted of murdering his girlfriend and their unborn child tearfully apologized to her family Monday in front of the jury that will decide whether he lives or dies.



Bobby Cutts Jr. weeps openly as his mother describes his childhood during a sentencing hearing.



"It was a nightmare that will continue to haunt me for the rest of my days," said Bobby Cutts, Jr., 30, reading from a prepared statement at the penalty phase of his murder trial.



"Ladies and gentlemen of the jury, I'm asking you to spare my life."



Cutts was convicted on February 15 of the murder of girlfriend Jessie Marie Davis and the aggravated murder of the unborn girl Davis had planned to name Chloe.



Chloe's slaying, which jurors found occurred during the commission of another crime, makes Cutts eligible for the death penalty



"To imagine that I was responsible for the death of Jessie, the mother of my children and my unborn daughter, is beyond any words that I can express," Cutts said. "Words cannot bring them back, nor can they erase the pain I've caused, but I want to apologize."  Watch Cutts' tearful apology »



He thanked Davis' family for taking care of the other child he had with Davis. Blake was 2½ at the time of his mother's murder in June 2007.



"I pray that you find peace and you someday find room for forgiveness," he said.



Earlier, Cutts' mother, Renee, Jones, had told jurors, "I don't know what I would do without him." She described Cutts as a former honor student who loved his job as a police officer.



"He was my firstborn, my only son," Jones testified tearfully. "He means so much to me," she continued. "He used to call me three, four times a day." Watch Cutts react as his mother pleads for his life



Cutts' punishment is being decided by the same jury of six men and six women who found him guilty. All the jurors are white; Cutts is African-American.



Cutts' sister, father and one of his school teachers also testified.



Judge Charles E. Brown ordered jurors to return early Tuesday for attorneys' closing arguments. When the arguments conclude, jurors will begin their deliberations.



If jurors do not agree on the death penalty, Cutts could receive a possible sentence of life in prison without parole or become eligible for parole in 20, 25 or 30 years.



Jones, was the first witness called to the stand by the defense. She said her son was a good youngster who was active in sports, Scouts and his church.



"I never had any trouble out of him," she said as Cutts teared up at the defense table. She said Cutts' relationship with his father deteriorated after the parents split.



A former teacher described Cutts as a social child given the nickname "Gobble" by his classmates. He was helpful in class, often volunteering to pick stray crayons up from the floor.



His father testified that he gave Cutts the nickname "Gobble" because as an infant he resembled " a little Butterball turkey."  He said Cutts was a "gifted child" in school.



He blamed himself for the break up of his marriage, saying his drinking and gambling contributed to it.



Cutts' own personal life was rocky, according to testimony. Davis was nine months pregnant when she disappeared in June 2007. Her body was found in a northeastern Ohio park after a 10-day search that brought national media attention



He is Blake's father, as well as the father of the unborn girl, Chloe.



According to testimony, Cutts, 30, rolled Davis' body in a comforter and dumped it in a park, leaving  toddler son Blake in the house alone at the crime scene in a soiled diaper.



"Mommy's in the rug," Blake told police, according to testimony.



During the guilt phase of the trial, Cutts sobbed on
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